Quiz about Geometry 1st Semester Review (through 5-3)

Question 1

Find ST.

Accepted Answer

12

Answer

11

Answer

13

Answer

14

Question 2

Find AC

Accepted Answer

22

Answer

7

Answer

8

Answer

23

Question 3

Let B be between A and C.

AC = 3x + 3 , AB = -1 + 2x, and

BC = 11. Find the value of x.

Accepted Answer

7

Answer

24

Answer

13

Answer

14

Question 4

Solve for x

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 5

Solve for x

Accepted Answer

x = 8

Answer

x = 77

Answer

x = 7.5

Answer

x = 18

Question 6

What does the word BISECT mean?

Accepted Answer

To cut something into two congruent pieces or in half.

Answer

To cut something into more than five pieces.

Answer

It is a plane with two sets of wings.

Answer

A shape that has three sides.

Question 7

This point divides a line segment into 2 equal parts.

Accepted Answer

midpoint

Answer

point

Answer

vertex

Answer

segment

Question 8

Question 8.

Accepted Answer

RM=3, MS=3

Answer

RM=6, MS=6

Answer

RM=3, MS=6

Answer

RM=6, MS=3

Question 9

B is the midpoint of AC.  Find AB.

Accepted Answer

8

Answer

2

Answer

16

Answer

4

Question 10

Find the distance between (-4, 5) and (7, 18).

Accepted Answer

17.03

Answer

15.96

Answer

16.08

Answer

16.23

Question 11

Find the distance.

Accepted Answer

11.7

Answer

9.7

Answer

10.7

Answer

12.7

Question 12

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

Accepted Answer

(5, -3)

Answer

(5, -2)

Answer

(10, -6)

Answer

(2, -2)

Question 13

If an obtuse angle is bisected, the resulting angles are ________

Accepted Answer

always acute

Answer

sometimes acute

Answer

always obtuse

Answer

right angles

Question 14

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

Accepted Answer

Inductive reasoning

Answer

Deductive reasoning

Answer

Conjecture

Answer

Experiments

Question 15

What is a conjecture?

Accepted Answer

A statement believed to be true based on observations.

Answer

An example which disproves an hypothesis.

Answer

the performance of tricks that are seemingly magical

Question 16

What is the next term in the sequence:
1, 1, 2, 3, 5, 8, 13, ...

Accepted Answer

21

Answer

17

Answer

20

Answer

24

Question 17

Where would the next red square be?

Accepted Answer

top left

Answer

bottom left

Answer

top right

Answer

bottom right

Question 18

Used to prove that a conjecture is false.

Accepted Answer

Counterexample

Answer

Inductive Reasoning

Answer

Concluding statement

Answer

Conjecture

Question 19

Which is a counterexample of:

The difference of two numbers is less than the greater number.

Accepted Answer

(2) - 0 = 2

Answer

(5) - (2) = 3

Answer

(-5) - (4) = -9

Answer

(3) - (3) = 0

Question 20

If the nonshared sides of two adjacent angles form a pair of opposite rays, then the angles form _____________

Accepted Answer

a linear pair

Answer

vertical angles

Answer

complementary angles

Answer

acute angles

Question 21

Find the value of x

Accepted Answer

16

Answer

8

Answer

32.8

Answer

39.2

Question 22

Solve for x.

Accepted Answer

34

Answer

10.5

Answer

11.5

Answer

34.5

Question 23

Find the value of t

Accepted Answer

5

Answer

-1

Answer

5.14

Answer

7

Question 24

What is the hypothesis of the given Conditional Statement?

"If Jimmy goes on vacation, then he will go to Orlando. "

Accepted Answer

Jimmy goes on vacation

Answer

Jimmy will go to Orlando

Answer

Jimmy will go to Orlando

Answer

Who is Jimmy?

Question 25

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

Accepted Answer

Converse

Answer

Inverse

Answer

Contrapositive

Answer

Negation

Question 26

Given, "If I have a Siberian Husky, then I have a dog."

Identify the inverse.

Accepted Answer

If I do not have a Siberian Husky, then I do not have a dog.

Answer

If I have a dog, then I have a Siberian Husky.

Answer

If I do not have a dog, then I do not have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I have a dog.

Question 27

Given, "If I have a Siberian Husky, then I have a dog."

Identify the contrapositive.

Accepted Answer

If I do not have a dog, then I do not have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I do not have a dog.

Answer

If I have a dog, then I have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I have a dog.

Question 28

Given, "If angles are congruent, then the measures of the angles are equal."

Identify the converse.

Accepted Answer

If the measures of the angles are equal, then the angles are congruent.

Answer

"If angles are not congruent, then the measures of the angles are not equal."

Answer

If the measures of the angles are not equal, then the angles are not congruent.

Answer

If the angles are not congruent, then the measure of the angles are equal.

Question 29

Given, "If angles are congruent, then the measures of the angles are equal."

Identify the inverse.

Accepted Answer

"If angles are not congruent, then the measures of the angles are not equal."

Answer

If the measures of the angles are equal, then the angles are congruent.

Answer

If the measures of the angles are not equal, then the angles are not congruent.

Answer

If the angles are not congruent, then the measure of the angles are equal.

Question 30

What is the contrapositive to this?

"If food is in the oven, then it will be cooked."

Accepted Answer

If the food is not cooked, then it is not in the oven.

Answer

If the food is not in the oven, then it is not cooked.

Answer

If the food is cooked, then its in the oven.

Answer

If food is not in the oven, then its cooked.

Question 31

A biconditional statement..

Accepted Answer

uses the phrase "if and only if"

Answer

is an "if/then" statement

Answer

is the first part of a statement

Answer

is the second part of a statement

Question 32

What is the biconditional that matches the statement:

"A right angle is an angle with 90 degrees."

Accepted Answer

An angle is a right angle if and only if it has 90 degrees.

Answer

If an angle has 90 degrees, then it is a right angle.

Answer

If an angle is a right angle, then it has 90 degrees.

Question 33

Which type of reasoning is a process of reasoning using given and revious known facts to reach a logical conclusion.

Accepted Answer

Deductive Reasoning

Answer

A Proof

Answer

Intelligent Thought

Answer

Inductive Reasoning

Question 34

Using the Law of Detatchment and the following true statements, what is a true conclusion.

*If you can play the piano, then you can play an musical instrument.

*Kiyo can play the piano.

Accepted Answer

Kiyo can play a musical instrument.

Answer

Kiyo can read music.

Answer

The piano is a musical instument.

Question 35

Use the Law of Syllogism to write a true conditional statment given the two true statements.

If Zachary eats pasta for dinner, then he goes to bed early.

If it is Tuesday night, then Zachary eats pasta for dinner.

Accepted Answer

If it is Tuesday night, then Zachary goes to bed early.

Answer

If Zachary eats pasta for dinner, then is it Tuesday night.

Answer

If Zachary goes to bed early, then he goes to bed early.

Question 36

Angles R and C are...

Accepted Answer

Corresponding Angles

Answer

Alternate Interior Angles

Answer

Same-Side Interior Angles

Answer

Alternate Exterior Angles

Question 37

Angles D and P are...

Accepted Answer

Alternate Interior Angles

Answer

Same-Side Interior Angles

Answer

Corresponding Angles

Answer

Alternate Exterior Angles

Question 38

Angles C and P are...

Accepted Answer

Same-Side Interior Angles

Answer

Alternate Interior Angles

Answer

Corresponding Angles

Answer

Alternate Exterior Angles

Question 39

Solve for y.

Accepted Answer

y = 35

Answer

y = 55

Answer

y = 70

Answer

y = 70

Question 40

Solve for y.

Accepted Answer

y = 10

Answer

y = 20

Answer

y = 120

Answer

y = 60

Question 41

Which reason explains why the two lines are parallel?

Accepted Answer

Alt. Interior Angles Converse

Answer

Corresponding Angles Converse

Answer

Alt. Exterior Angles Converse

Answer

Same-Side Interior Angles Converse

Answer

Not Enough Information to Prove Parallel

Question 42

Which reason explains why the two lines are parallel?

Accepted Answer

Not Enough Information to Prove Parallel

Answer

Corresponding Angles Converse

Answer

Alt. Interior Angles Converse

Answer

Alt. Exterior Angles Converse

Answer

Vertical Angles Theorem

Question 43

Which reason explains why the two lines are parallel?

Accepted Answer

Alt. Exterior Angles Converse

Answer

Corresponding Angles Converse

Answer

Alt. Interior Angles Converse

Answer

Same-Side Int. Angles Converse

Answer

Not Enough Information to Prove Parallel

Question 44

Find the slope of the line that passes through

(-4, 7) and (-6, -4)

Accepted Answer

$$\frac{11}{2}$$

Answer

$$\frac{2}{11}$$

Answer

$$-\frac{2}{11}$$

Answer

$$-\frac{11}{2}$$

Question 45

Slopes of perpendicular lines are...

Accepted Answer

opposite reciprocals.

Answer

opposites.

Answer

the same.

Answer

always 7.

Question 46

Tell whether the lines through the points are parallel, perpendicular, or neither.

Line 1: (3, 6) and (8, 10)

Line 2: (-4, 2) and (0, -3)

Accepted Answer

perpendicular

Answer

parallel

Answer

neither

Question 47

Write the equation of a line PARALLEL to y = 3x + 7 that passes through the point (1, 5).

Accepted Answer

y = 3x + 2

Answer

y = 3x - 14

Answer

$$y=\frac{1}{3}x+6$$

Answer

$$y=\frac{1}{3}x-4$$

Question 48

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

Accepted Answer

$$y=\frac{1}{2}x+2$$

Answer

$$y=-\frac{1}{2}x+\frac{1}{2}$$

Answer

$$y=-2x+7$$

Answer

$$y=-2x+8$$

Question 49

Solve for x.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 50

What is the value of x?

Accepted Answer

80

Answer

75

Answer

63

Answer

60

Question 51

The Base Angles Theorem (Isosceles Triangle Theroem) states:

Accepted Answer

If two sides of a triangle are congruent, then the angles opposite of those sides are congruent.

Answer

If two angles of a triangle are congruent, then the sides opposite of those angles are congruent.

Answer

If two triangles are congruent, then their corresponding sides and angles are congruent.

Answer

None of the above.

Question 52

Find the value of x .

Accepted Answer

x = 5

Answer

x = 4

Answer

x = 6

Answer

x = 20

Question 53

Find the value of x .

Accepted Answer

x = 13

Answer

x = 3

Answer

x = 6

Answer

x = 36

Question 54

What is the value of x?

Accepted Answer

10

Answer

60

Answer

45

Answer

70

Question 55

Given: $$\Delta PET\cong\Delta DOG$$

Which of the following are TRUE

Accepted Answer

$$\angle P\cong\angle D$$

Accepted Answer

$$\overline{TE}\cong\overline{GO}$$

Accepted Answer

$$\overline{TP}\cong\overline{GD}$$

Answer

$$\angle T\cong\angle O$$

Answer

$$\overline{TE}\cong\overline{OG}$$

Question 56

$$\Delta ABC\cong\Delta DEF.$$ Find the value of y.

Accepted Answer

35

Answer

40

Answer

22.5

Answer

32.5

Question 57

What does CPCTC stand for?

Accepted Answer

Corresponding parts of congruent triangles are congruent

Answer

Congruent parts of congruent triangles are congruent

Answer

Corresponding parts of corresponding triangles are corresponding

Answer

Corresponding parts of congruent triangles are Canadian.

Question 58

Name the postulate, if possible, that makes the triangles congruent.

Accepted Answer

HL

Answer

SSS

Answer

ASA

Answer

SSA

Question 59

Name the postulate, if possible, that makes the triangles congruent.

Accepted Answer

Not Possible

Answer

SSS

Answer

ASA

Answer

AAS

Question 60

Name the postulate, if possible, that makes the triangles congruent.

Accepted Answer

SAS

Answer

SSS

Answer

ASA

Answer

HL

Question 61

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\angle P\cong\angle Q$$ ; CPCTC

Answer

$$\angle P\cong\angle Q$$ ; SAS

Answer

$$\angle P\cong\angle Q$$ ; SSS

Answer

$$\angle P\cong\angle Q$$ ; SSA

Question 62

Identify the  missing statement or reason

Accepted Answer

Definition of Angle Bisector

Answer

Given

Answer

Vertical Angles Theorem

Answer

Alternate Interior Angles Theorem

Question 63

What is #2 Reason?

Accepted Answer

Reflexive Property

Answer

Perpendicular Lines

Answer

Perpendicular Bisector

Answer

Segment Bisector

Question 64

Identify the transformation.

Accepted Answer

Reflection across x-axis

Answer

Reflection across y axis

Answer

180 Rotation

Answer

Translation 2 units down

Geometry 1st Semester Review (through 5-3)

130 questions

Find ST.

Find AC

Let B be between A and C.
AC = 3x + 3 , AB = -1 + 2x, and
BC = 11. Find the value of x.

Solve for x

Find m∠NME.

Given m∠JHG = 161°.

Solve for x

What does the word BISECT mean?

This point divides a line segment into 2 equal parts.

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