EOC Review: Questions Ch1 - 6

Ch 1 Basics of Geometry

Multiple Choice

What is the intersection of line EF and plane K?

• A

• B

• C

• D

Multiple Choice

How many points do you use to name a line?

• 4

• 3

• 2

• 1

Multiple Choice

How many points do you use to name a plane

• 4

• 3

• 2

• 1

Multiple Choice

Which can only be named one way, based on an endpoint and direction?

• Plane

• Point

• Line

• Ray

Multiple Choice

Which can be measured?

• Plane

• Ray

• Segment

• Line

Multiple Choice

When two planes intersect, they create a...

• Point

• Line

• Segment

• Plane

Multiple Choice

Which is the correct way to label a ray?

• $$\overleftarrow{xy}$$

• $$\overrightarrow{xy}$$

Multiple Choice

Find AC

• 7
• 8
• 22
• 23

Multiple Choice

If GH = 8 and GI = 25, find HI.

• 4

• 8

• 17

• 33

Multiple Choice

Use the map to calculate the distance from Lubbock to St. Louis if you travel directly through Tulsa.

• 20 mi

• 600 mi

• 740 mi

• 980 mi

Multiple Choice

What was duplicated?

• line

• line segment

• ray

• angle

Multiple Choice

How do you calculate a weighted average?

• Add each value to its corresponding weight, sum up the results, and then divide by the sum of the weights.

• Multiply each value by its corresponding weight and then divide by the sum of the weights.

• Multiply each value by its corresponding weight, subtract the results, and then divide by the sum of the weights.

• Multiply each value by its corresponding weight, sum up the results, and then divide by the sum of the weights.

Multiple Choice

What is the midpoint between (3,-1) and (7,-5)?

• (5,-2)

• (5,-3)

• (10,-6)

• (2,-2)

Multiple Choice

Find the distance between (-5, -8) and (-1, -16).

• 8.9
• 9.8
• 10.3
• 11

Multiple Choice

An angle that is more than 90^o.

• right

• acute

• obtuse

• straight

Multiple Choice

An angle that is less than 90^o.

• right

• acute

• obtuse

• straight

Multiple Choice

Right, acute, or obtuse?

• Acute

• Right

• Obtuse

Multiple Choice

Are these angles complementary, supplementary or neither?

• complementary
• supplementary
• neither

Multiple Choice

What are supplementary angles?

• Angles that add up to 180°
• Angles that add up to 90°
• Angles that are equal to each other
• Angles that are opposite of each other when lines intersect

Multiple Choice

These angles are...

• Complementary
• Supplementary
• Neither

Multiple Choice

Find the m∠2

• 28
• 152
• 180
• 62

Multiple Choice

Find the m∠3

• 28
• 152
• 180
• 62

Multiple Choice

What is the value of x?

• 37
• 72
• 108
• 18

Ch 2 Reasoning and Proofs

Multiple Choice

What is the conclusion of the statement, "If 3 or more points lie on the same line, then the points are collinear." ?

• If 3 or more points lie on the same line.

• Three or more points lie on the same line.

• Then the points are collinear.

• The points are collinear.

Multiple Choice

An educated guess that may be a true or false statement is called ______________.

• counterexample

• conditional statement

• conjecture

• conjunction

Multiple Choice

What do you call the part of a conditional statement that follows “if” when written in if-then form?

• conclusion

• converse

• hypothesis

• inverse

Multiple Choice

What do you call the part of a conditional statement that follows “then” when written in if-then form?

• conclusion

• converse

• hypothesis

• inverse

Multiple Choice

If you drink milk, then you will grow.

What do you call the underlined portion in this conditional statement?

• conclusion

• converse

• hypothesis

• inverse

Multiple Choice

What is the symbol for NOT (negation)?

• ∕
• ∨
• ~
• ∧

Multiple Choice

All chimpanzees love bananas.

Write this statement in "if-then" form.

• If all chimpanzees, then loves bananas.

• If you are a chimpanzee, then you love bananas.

• If it is a chimpanzee, then it loves bananas.

• If you are a chimpanzee and you love to eat, then you love bananas.

Multiple Choice

Equilateral triangles have 3 congruent sides.

Write in "if-then" form.

• If it is an equilateral triangle, then it has 3 congruent sides.

• If it has 3 congruent sides, then it is an equilateral triangle.

• If equilateral, then triangle.

• If it has 3 sides, then it is a triangle.

Match

Match the following

• $$\sim p\rightarrow\sim q$$  

• $$q\rightarrow p$$  

• $$p\rightarrow q$$  

• $$\sim q\rightarrow\sim p$$  

Inverse

Converse

Original Conditional

Contrapositive

• Inverse

• Converse

• Original Conditional

• Contrapositive

Multiple Choice

What is the Inverse ( $$\sim p\rightarrow\sim q$$ )  of the statement: If I go to the cafeteria, then I get lunch.

• If I get lunch, then I go to the cafeteria.

• If I do not get lunch, then I do not go to the cafeteria.

• If I do not go to the cafeteria, then I do not get lunch.

• If I do not get lunch, then I do not go to the cafeteria.

Multiple Choice

What is the converse ( $$q\rightarrow p$$  ) of the statement:

If you are 13, then you are a teenager.

• If you are not 13, then you are a teenager.

• If you are 13, then you are not a teenager.

• If you are a teenager, then you are 13.

• If you are not a teenager, then you are not 13.

Multiple Choice

What is the contrapositive ( $$\sim q\rightarrow\sim p$$  ) of the statement:

If you play the guitar, then you are a musician.

• If you are a musician, then you play the guitar.

• If you are not a musician, then you do not play the guitar.

• If you do not play the guitar, then you are not a musician.

• If you play the guitar, then you are a musician.

Multiple Choice

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

Multiple Choice

What is a conjecture?

• A statement believed to be true based on observations.
• An example which disproves an hypothesis.
• the performance of tricks that are seemingly magical

Multiple Choice

Find the next term in the sequence:
A, D, G, J, _____

• L
• M
• P
• K

Multiple Choice

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Multiple Choice

Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4

• 0
• 12
• 28
• 42

Ch 3 Parallel and Perpendicular Lines

Multiple Choice

Identify the correct statement.

• ∠1 & ∠2
  are corresponding angles
• ∠2 & ∠4
  are corresponding angles
• ∠5 & ∠8
  are corresponding angles
• ∠1 & ∠5
  are corresponding angles

Multiple Choice

Identify the correct statement.

• ∠1 & ∠8
  are alternate interior angles
• ∠2 & ∠3
  are alternate interior angles
• ∠4 & ∠5
  are alternate interior angles
• ∠7 & ∠4
  are alternate interior angles

Multiple Choice

Identify the correct statement.

• ∠1 & ∠8
  are supplementary angles
• ∠2 & ∠3
  are supplementary angles
• ∠4 & ∠5
  are supplementary angles
• ∠7 & ∠8 
  are supplementary angles

Multiple Choice

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

Multiple Choice

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

• (3.75, 2.5)
• (3.75, 3.5)
• (4.75, 1.5)
• (5.75, 1.5)

Multiple Choice

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

• -2

• 1/2

• -1/2

• 2

Multiple Choice

What slope is perpendicular to:  
m = 3

• -3
• -1/3
• 1/3
• 3

Multiple Choice

Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13

• YES
• NO

Multiple Choice

Which equation would be PERPENDICULAR to the given line?

$$y=-7x+2$$  

• $$y=-\frac{1}{7}x-4$$  

• $$y=\frac{1}{7}x+8$$  

• $$y=-3x+2$$  

• $$y=-7x+12$$  

Ch 4 Transformations

Multiple Choice

To translate the blue shape to the pink shape, which of the following do we need to do?

• 5 Right

  2 Down

• 5 Left

  2 Up

• 3 Right

  1 Down

• 3 Left

  1 Up

Multiple Choice

What transformation is happening?
(x, y) ----> (x + 2, y - 3) 

• slide up 2, left 3
• slide right 2, up 3
• slide right 2, down 3
• slide left 3, right 2

Multiple Choice

Write the rule for this translation:
Slide 3 up and 2 right

• (x, y)---->(x + 3, y + 2)
• (x, y)-----> (x+2, y + 3)
• (x, y)----> (x - 2, y + 3)

Multiple Choice

What is the algebraic representation of a figure is Translated 6 units right and 5 units up?

• (x, y) --> (x - 6, y + 5)

• (x, y) --> (x + 6, y + 5)

• (x, y) --> (x + 5, y - 6)

• (x, y) --> (6x, 5y)

Multiple Choice

What transformation is happening?
(x, y) ----> (x + 2, y - 3) 

• slide up 2, left 3
• slide right 2, up 3
• slide right 2, down 3
• slide left 3, right 2

Multiple Choice

Which two triangles are reflections of each other across the x-axis?

• A and B

• B and D

• A and C

• C and D

Multiple Choice

Which two triangles are reflections of each other across the y-axis?

• A and B

• B and D

• A and C

• C and D

Multiple Choice

What axis is the image reflected over?

• X-axis

• Y-axis

Fill in the Blanks

Multiple Choice

What is the image of S(2,-8), after a reflection over the line x axis?

• S'(-2,-8)

• S'(2, 8)

• S'(-8,2)

• S'(8,-2)

Multiple Choice

What is the image of R(-5,-4), after a reflection over the line y = x

• R'(-5,-4)

• R'(-4,-5)

• R'(5, 4)

• R'(-4, 5)

Multiple Choice

What is the image of Z(-1, 4) after a reflection over the y axis?

• Z'(4, -1)

• Z'(-1,-4)

• Z'(4, 1)

• Z'(1, 4)

Multiple Choice

Identify the line of reflection.

• x axis

• x = -3

• y = -x

• y = -3

Multiple Choice

Identify the line of reflection

• y = x

• y = -x

• x axis

• y axis

Multiple Choice

Identify line of reflection

• y axis

• y = x

• y = -x

• x axis

Multiple Choice

Identify line of reflection

• x axis

• y axis

• y = x

• y = -x

Multiple Choice

Identify line of reflection

• y = x

• y = -x

• y axis

• x axis

Multiple Choice

What are the coordinates of B' after a reflection over the x-axis then (x,y)->(x+1,y+2). Show all of your work. Label the points.

• (5, -2)

• (4, -4)

• Off the graph

• (-4, 4)

Multiple Choice

Name the series of transformations that maps ABC onto DEF.

• reflect over x then translate left 6 up 1
• reflect over y then translate down 6 left 1
• translate right 6 down 1, then reflect over x
• rotate 90 clockwise then reflect over y

Multiple Choice

Is the diagram an example of a glide reflection?

• Yes, the direction of the translation is parallel to the line of reflection.

• No, the direction of the translation is not parallel to the line of reflection.

Multiple Choice

Is the diagram an example of a glide reflection?

• Yes, the direction of the translation is parallel to the line of reflection.

• No, the direction of the translation is not parallel to the line of reflection.

Multiple Choice

Which of the following is the correct sequence of transformations that maps triangle ABC onto triangle DEF?  

• A reflection over the x-axis followed by a translation moving up. 

• A reflection over the y-axis followed by a translation moving up . 

• A reflection through the origin followed by a translation moving down. 

• A translation moving down followed by a reflection over the y-axis. 

Poll

True or False. The image shows a rotation?

• True

• False

Multiple Choice

What type of rotation does this represent (from red to blue)?

• 270⁰ C

• 360⁰
• 90⁰ CC

• 180⁰

Multiple Choice

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Multiple Choice

Rotate the point (-5,8) around the origin 90 degrees clockwise. State the image of the point.

Rule: (x, y) ----- (y, -x)

• (-8,5)

• (8,-5)

• (8,5)

• (5,-8)

Multiple Choice

Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.

Rule: (x, y) ---- ( -y, x)

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

Multiple Choice

Which of the following statements is true about the scale factor (k) for this dilation?

• $$k>1$$

• $$k=1$$

• $$0<k<1$$

Multiple Choice

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Multiple Choice

If triangle ABC was dilated by a scale factor of 3, with the origin as the center of dilation, what would the coordinates of B' be?

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Multiple Choice

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3, with the origin as the center of dilation, what are the coordinates of the vertices of the new image?

• A'(5,3), B'(6,2), C'(1,-2)

• A'(6,0), B'(9,-3), C'(-6,-15)

• A'(2/3,0), B'(1,-1/3), C'(-2/3,-5/3)

• A'(-1,-3), B'(0,-4), C'(-5,-8)

Multiple Choice

State the coordinates of point B after a dilation, with the center of dilation at the origin, and a scale factor of 1/2.

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Multiple Choice

If the scale factor is between zero and one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

Ch 5 Congruent Triangles

Multiple Choice

Identify the triangle by its sides and angles

• Right Isosceles

• Right Scalene

• Right Equilateral

Multiple Choice

Identify the triangle by its sides and angles.

• Obtuse Equilateral

• Obtuse Isosceles

• Isosceles

• Acute Scalene

Multiple Choice

Classify the triangle by angles and sides.

• Right Scalene
• Acute Isosceles
• Obtuse Isosceles
• Equiangular Equilateral

Multiple Choice

Which of the following terms best describes Angle d?

• Remote interior angle
• Corresponding angle
• Exterior angle
• Interior angle

Multiple Choice

Find the measure of the missing angle.

• A
• B
• C
• D

Multiple Choice

Find the measure of angle F

• A

• B

• C

• D

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SSS
• ASA
• AAS
• SAS

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS
• SSS
• SAS
• SSA

Multiple Choice

What additional information is required to prove the 2 triangles are congruent by SAS

• A)
• B)
• C)
• D)

Multiple Choice

Which angle is included between sides BC and AC

• Angle A

• Angle B

• Angle C

Multiple Choice

What is the measurement of angle J and K?

• m∠J= 68, m∠K= 136

• m∠J= 68, m∠K= 44

• m∠J= 67, m∠K= 77

• m∠J= 44, m∠K= 68

Multiple Choice

What is the measurement of YZ and the measurement of angle Y?

• YZ=12 cm, m∠Y= 77

• YZ=6cm, m∠Y= 144

• YZ=12cm , m∠Y= 26

• YZ=12 cm, m∠Y= 45

Multiple Choice

What is the measurement of angle C and the measurement of BC and AC?

• m∠C= 55, BC= 8, AC= 8

• m∠C= 90, BC= 5, AC= 7

• m∠C= 60, BC= 9, AC= 12

• m∠C= 60, BC= 9, AC= 9

Multiple Choice

What is the measurement of angle J, K, L?

• m∠J= 60, m∠K= 60, m∠L= 60

• m∠J= 60, m∠K= 30, m∠L= 90

• m∠J= 30, m∠K= 60, m∠L= 90

• m∠J= 60, m∠K= 45, m∠L= 75

Multiple Choice

What is the value of x?

• 11

• 12

• 13

• 14

Multiple Choice

Solve for x

• 9

• 8

• 7

• 6

Multiple Choice

Solve for x

• 9

• 5

• 7

• 3

Multiple Choice

Can the triangle be proven congruent by SSS?

• No, not enough information.

• Yes.

Multiple Choice

Can the triangle be proven congruent by SSS?

• Yes

• No, not enough information

Multiple Choice

Remember order matters. Which of the following is true?

• ∆FGH ≅ ∆VHW
• ∆HFG ≅ ∆HWV
• ∆HGF ≅ ∆VHW
• ∆FGH ≅ ∆VWH

Multiple Choice

Can the triangle be proven congruent by SSS?

• Yes.

• No, not enough information.

Multiple Choice

State whether the triangles are congruent.

• ASA

• AAS

• Not Congruent

Multiple Choice

State whether the triangles are congruent.

• ASA

• AAS

• Not Congruent

Multiple Choice

State whether the triangles are congruent.

• ASA

• AAS

• Not Congruent

Multiple Choice

State whether the triangles are congruent.

• ASA

• AAS

• Not Congruent

Multiple Choice

State whether the triangles are congruent.

• ASA

• AAS

• Not Congruent

Multiple Choice

State whether the triangles are congruent.

• ASA

• AAS

• Not Congruent

Ch 6 Relationships within Triangles

Multiple Choice

• QR = 4

• QR = 20

• QR = 11

• QR = 5

Multiple Choice

The INCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Multiple Choice

The CIRCUMCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Multiple Choice

[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?

• 6
• 10
• 16
• 12

Multiple Choice

Find the value of x

• x=28
• x=14
• x=23
• x=46

Multiple Choice

What type of center is point M?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Multiple Choice

What type of center is point M?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Multiple Choice

Find BC.

• BC = 4

• BC = 16

• BC = 12

• BC = 24

Multiple Choice

Find the length of AD

• 2
• 4
• 6
• 8

Multiple Choice

As segment from a vertex of a triangle to the midpoint of the opposite side is called the __________.

• median

• centroid

• midpoint

• perpendicular bisector

Multiple Choice

The three medians of a triangle meet at a point of concurrency called the ____________.

• center point

• midpoint

• centroid

• median point

Multiple Choice

The centroid of a triangle is ____________ of the distance from each vertex to the midpoint of the opposite side.

• two-thirds

• one-half

• one-fourth

• two-fifths

Multiple Choice

BL = 12

Find BP

• 3

• 4

• 8

• 10

Multiple Choice

CP = 16

Find PL

• 24

• 16

• 12

• 8

Multiple Choice

AL = 27

Find AP

• 27

• 18

• 9

• 3

Multiple Choice

The median of $$\Delta ABC$$  is shown in blue ink. What is the correct ordered pair for the centroid?

• (1, 5)

• (1, 2)

• (1, 8)

• (1, 4)

Multiple Choice

The altitude is __________to the side of a triangle.

• parallel
• skew
• off
• perpendicular

Multiple Choice

The three altitudes of a triangle intersect at the___________________.

• orthocenter
• median
• centroid
• circumcenter

Multiple Choice

What type of special segments are being used?

• Perpendicular Bisectors

• Angle Bisectors

• Medians

• Altitudes

Multiple Choice

16.  For an obtuse triangle, the altitudes meet where?

• inside the triangle
• outside the triangle
• on the triangle
• the incenter

Multiple Choice

Identify the Point of Concurrency

• Circumcenter
• Incenter
• Orthocenter
• Centroid

Multiple Choice

Identify the Point of Concurrency

• Circumcenter
• Incenter
• Orthocenter
• Centroid

Multiple Choice

Identify the Point of Concurrency

• Circumcenter
• Incenter
• Orthocenter
• Centroid

Multiple Choice

The figure is an example of a(n) ...

• angle bisector

• altitude

• altitude

• median

Multiple Choice

The place where all three angle bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Multiple Choice

Which center of a triangle is shown in the picture below?

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Multiple Choice

Name the parallel segment.

• JH
• PN
• MP
• MN

Multiple Choice

Find the missing length.

• 9
• 18
• 4.5
• 16

Multiple Choice

Find the length of AB

• 6
• 11
• 17
• 68

Multiple Choice

What is the measure of angle a?

• 50
• 80
• 130
• Cannot Determine

Multiple Choice

What is the measure of angle Y?

• 60
• 40
• 140
• 100

Multiple Choice

Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 

• Yes
• No

Multiple Choice

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

• Yes
• No

Multiple Choice

9. Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60
• 28, 30, 58
• 13, 20, 27
• 2, 4, 5

Multiple Choice

List the side measures in order, shortest to longest.

• QM, QP, MP
• MQ, MP, QP
• MP, MQ, QP

Multiple Choice

Identify the longest side measure.

• AC
• BA
• BC

Multiple Choice

Identify the smallest angle.

• ∠A
• ∠B
• ∠C