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Semester 1 Final Giga Review

Total questions: 82

Worksheet time: 4hrs 53mins

Name
Class
Date
1.

How is AB written in the distance formula?

a)


d = (5−3)2 + (0−−2)2d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}

b)

d = (2−5)2 + (3 −0)2d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}

c)

d = (5−3)2 − (0−−2)2d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}

d)

d = (4−3)2 − (2−4)2d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}

2.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
3.

Find the midpoint of the line segment with the given endpoints.

(0, 2), (-2, -8)

a)

(1, 5)

b)

(-4, -18)

c)

(-1, -3)

d)

(1, -5)

4.

Use the picture to write the correct Segment Addition statement.

a)

BC + BA = BC

b)

BA + AC = BC

c)

AB + BC = AC

5.

Use the figure to write and solve an equation for x.

a)

11

b)

19

c)

33

d)

57

6.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
7.
Name the Image. 
a)
Ray
b)
Point
c)
Line
d)
Line segment
8.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
9.

The intersection of 2 planes forms ______.

a)

A point

b)

A plane

c)

A line segment

d)

A line

10.

Two or more points that lie on the same line are _________.

a)

coplanar

b)

colinear

c)

collateral

d)

colorado

11.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
12.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

13.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

14.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
15.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
16.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
17.

Name the same-side (consecutive) interior angle to angle 4.

a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
18.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
19.

Solve for x and use x to find the measure of the shaded angle.

(a)  

20.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
21.

Two parallel lines intersect a transversal. Select all that apply.

a)

Angles 1 and 2 are congruent because they are vertical angles.

b)

Corresponding & alternate interior angles are congruent when a transversal intersects two parallel lines.

c)

Consecutive Interior angles are supplementary.

d)

Vertical angles are always congruent.

22.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

23.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

24.

Find the missing angle TSR.

a)

A

b)

B

c)

C

d)

D

25.

What is the sum of interior angles of a triangle?

a)

60 degrees

b)

90 degrees

c)

180 degrees

d)

360 degrees

26.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
27.

Identify the transformation. Then use arrow notation to describe the transformation.

a)

The transformation is a 90° rotation. ABC → A'B'C'

b)

The transformation is a 45° rotation. ABC → A'B'C'

c)

The transformation is a reflection. ABC → A'B'C'

d)

The transformation is a translation. ABC → A'B'C'

28.

A figure has vertices at E(-3, 1), F(1, 1), and G(4, 5). After a transformation, the image of the figure has vertices at E'(-3, -1), F'(1, -1), and G'(4, -5). Identify the transformation.

a)

The transformation is a reflection across the x-axis.

b)

The transformation is a 180° rotation.

c)

The transformation is a 90° rotation.

d)

The transformation is a translation.

29.

Find the coordinates for the image of ΔEFG after the translation (x, y) → (x - 6, y + 2). Draw the image.

a)
b)
c)
d)
30.

A triangle has vertices at A(1, 3), B(4, 2), and C(3, 8). Which transformation would produce an image with vertices A'(3, -1), B'(2, -4), C'(8, -3)?

a)

a reflection over the x-axis

b)

a reflection over the y-axis

c)

a rotation 270° counterclockwise about the origin

d)

a rotation 90° counterclockwise about the origin

31.

A triangle has vertices at A(-7, 6), B(4, 9), C(-2, -3). What are the coordinates of each vertex if the triangle is translated 4 units right and 6 units down?

a)

A'(-11, 12), B'(0, 15), C'(-6, 3)

b)

A'(-11, 0), B'(0, 3), C'(-6, -9)

c)

A'(-3, 12), B'(8, 15), C'(2, 3)

d)

A'(-3, 0), B'(8, 3), C'(2, -9)

32.

The point P (-3, 7) is reflected over the line y = x. What are the coordinates of P'?

a)

(7, -3)

b)

(3, -7)

c)

(3, 7)

d)

(-7, 3)

33.

Use the graph to complete the sentence. Figure A'B'C'D' is the image of figure ABCD under a rotation _____________.

a)

270° counterclockwise about the origin.

b)

180° about the origin.

c)

90° counterclockwise about the origin.

d)

270° clockwise about the origin.

34.

What is the arrow notation for a translation 2 units right and 5 units up?

a)

(x, y) --> (x - 2, y - 5)

b)

(x, y) --> (x + 2, y + 5)

c)

(x, y) --> (x + 5, y + 2)

d)

(x, y) --> (5x, 2y)

35.
Describe the transformations that map ABC onto A"B"C"
a)
translate 5 up and 1 left then reflect over y
b)
translate 5 down and 1 left, then reflect over y
c)
reflect over y=x then translate left 8
d)
reflect over x then rotate 90 clockwise
36.

What are rigid motions?

a)

Transformations that preserve the size and shape of a figure.

b)

A rigid motion that shifts or moves a figure.

c)

A rigid motion that turns a figure around a center point.

d)

The resulting figure after it is transformed, the outputs.

e)

A rule that takes an input and transforms it to produce an output.

37.
Describe the transformation.
a)
translation: right 4 and up 6
b)

reflection across x = -2

c)
translation right 6 and down 1
d)

reflection across y = -2

38.

Define the following: The figure before a transformation has occurred. 

a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
39.

Definition of Congruence: If ∠D ≅ ∠E, then _______________________________

a)

∠D ≅ ∠E

b)

∠E ≅ ∠D

c)

they are congruent

d)

∠D = ∠E

40.

Definition of Complementary Angles: If m∠1 + m∠2 = 90°, then ___________________________________________

a)

They are complementary angles.

b)

They are supplementary angles.

c)

They are vertical angles.

d)

They are adjacent angles.

41.

Supplement Theorem: If ∠X and ∠Y form a linear pair, then _______________________________________

a)

They are supplementary.

b)

They are complementary.

c)

They are congruent.

d)

They are adjacent.

42.

Congruent Complements Theorem: If ∠1 is complementary to ∠2 and ∠2 is complementary to ∠4, then __________________

a)

∠1 is congruent to ∠4.

b)

∠1 is complementary to ∠3.

c)

∠2 is congruent to ∠3.

d)

∠3 is complementary to ∠4.

43.

Congruent Supplements Theorem: If ∠J is supplementary to ∠K and ∠J is supplementary to ∠L, then __________________

a)

∠K and ∠L are congruent.

b)

∠K and ∠L are supplementary.

c)

∠J and ∠K are congruent.

d)

∠J and ∠L are complementary.

44.

If m∠3 + m∠4 = 180°, then ∠3 and ∠4 are supplementary angles.

a)

Definition of Perpendicular

b)

Definition of Complementary ∠'s

c)

Definition of Congruence

d)

Definition of Supplementary ∠'s

45.

If m∠PQR = m∠RST, then ∠PQR ≅ ∠RST

a)

Definition of Perpendicular

b)

Definition of Complementary ∠'s

c)

Definition of Congruence

d)

Definition of Supplementary ∠'s

46.

If ∠PQR and ∠STU are complementary angles, then m∠PQR + m∠STU = 90°.

a)

Definition of Congruence

b)

Definition of Perpendicular

c)

Definition of Supplementary ∠'s

d)

Definition of Complementary ∠'s

47.

If K is between J and L, then JK + KL = JL is justified by which property?

a)

Property of Equality

b)

Property of Congruence

c)

Definition of Addition

d)

Segment Addition Postulate

48.

EF ≅ EF

a)

Reflexive Property of Congruence

b)

Symmetric Property of Congruence

c)

Transitive Property of Congruence

d)

Substitution Property of Equality

49.

If RS = TU, then RS + XY = TU + XY. Which property justifies this statement?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

50.

If AB = DE, then DE = AB. Which property justifies this statement?

a)

Symmetric Property of Equality

b)

Transitive Property of Equality

c)

Reflexive Property of Equality

d)

Substitution Property of Equality

51.

If Y is the midpoint of XZ, then XY = YZ. Which property justifies this statement?

a)

Property of Equality

b)

Property of Congruence

c)

Definition of Midpoint

d)

Postulate

52.

Justify each of the following statements using a property of equality, property of congruence, definition, or postulate. If AB + CD = EF + CD, then AB = EF

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

53.

If FG ≅ HI and HI ≅ JK, then FG ≅ JK. Which property justifies this statement?

a)

Transitive Property of Congruence

b)

Reflexive Property of Congruence

c)

Symmetric Property of Congruence

d)

Addition Property of Congruence

54.

Fill in the blank using the substitution property:
If PQ + RS = TV and RS = WX, then ______

a)

PQ + WX = TV

b)

PQ + WX = RS

c)

PQ + WX = PQ

d)

PQ + WX = WX

55.
What is the rule for the dilation pictured below?
a)
(x, y) → (½x, ½y)
b)
(x, y) → (x + 2, y + 2)
c)
(x, y) → (2x , 2y)
d)
(x, y) → (2x, 3y)
56.
From the given rule 
 (X, Y) -> (1/4X, 1/4Y),
what is the dilation factor?
 Is it an enlargement or reduction?
 
a)
The dilation factor is 4, enlargement.
b)
The dilation factor is 1/4, reduction.
c)
The dilation factor is 4, same.
d)
The dilation factor is 1/4, same.
57.

Which transformation is shown?

a)

Dilation k=3

b)

Dilation k =1/2

c)

Dilation, k= 2

d)

Dilation, k=1/3

58.
Name this triangle.
a)
Right, Isosceles
b)
Scalene, acute
c)
Isosceles, acute
d)
Equilateral, obtuse
59.
Name this triangle.
a)
A
b)
B
c)
C
d)
D
60.
What is the correct congruence statement?  ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
61.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
62.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
63.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

64.

What is #3 Reason?

a)

Alternate Exterior Angles are congruent when formed by parallel lines

b)

Alternate Interior Angles are congruent when formed by parallel lines

c)

Vertical Angles are congruent

d)

Definition of Angle Bisector

65.

What postulate or theorem shows that the triangles are congruent?

a)

SSS: Side Side Side

b)

SAS: Side Angle Side

c)

AAS: Angle Angle Side

d)

ASA: Angle Side Angle

e)

HL: Hypotenuse Leg

66.

Which postulate or theorem proves the triangle congruent?

a)

ASA: Angle Side Angle

b)

AAS: Angle Angle Side

c)

AAA: Angle Angle Angle

d)

SSS: Side Side Side

e)

Not enough information

67.

Which postulate or theorem proves the triangle congruent?

a)

ASA: Angle Side Angle

b)

SAS: Side Angle Side

c)

SSA: Side Side Angle

d)

SSS: Side Side Side

e)

Not enough information

68.

Which postulate or theorem proves the triangle congruent?

a)

ASA: Angle Side Angle

b)

SAS: Side Angle Side

c)

SSA: Side Side Angle

d)

SSS: Side Side Side

e)

HL: Hypotenuse Leg

69.

Which postulate or theorem proves the triangle congruent?

a)

ASA: Angle Side Angle

b)

Not enough information

c)

AAA: Angle Angle Angle

d)

SSS: Side Side Side

e)

HL: Hypotenuse Leg

70.
What is the formula for the sum of interior angles in a polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
71.

For the parallelogram, find x and y.

a)

x = 30, y = 40

b)

x = 40, y = 30

c)

x = 40, y = 15

d)

x = 30, y = 30

72.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
73.

For the parallelogram, find x and y.

a)

x = 9, y = 4

b)

x = 6, y = 4

c)

x = 6, y = 2

d)

x = 4, y = 2

74.

MNKL is a square. Find the measure of angle MKN.

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

75.

CHECK ALL THAT APPLY:

All angles are right angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

76.

CHECK ALL THAT APPLY:

The lengths of the diagonals are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

77.

CHECK ALL THAT APPLY:

All sides are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

78.

CHECK ALL THAT APPLY:

Diagonals bisect the angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

79.

Using what you about the following Rectangle, solve for x.

a)

9.644 in.

b)

5 in.

c)

22.023 in.

d)

14 in.

80.

If PQRS is a square. Find the length of QR.

a)

3 33\ \sqrt[]{3}

b)

7.3

c)

10.4

d)

9

81.

What quadrilateral is created by the following set of points?

A(-5,-2) B(1,2) C(3,-1) D(-3-5)

a)

Square

b)

Rectangle

c)

Rhombus

d)

Parallelogram

82.

Which point partitions line segment AE to a 1:3 ratio?

a)

B

b)

C

c)

D

d)

E

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