Free Printable MIH Optional Unit 6 Geometry Review

1.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

2.

Identify the transformation from ABC to A'B'C'.

a)

$T_{8,4}$ = (x+8, y+4)

b)

$T_{-8,-4}$ = (x-8, y-4)

c)

$T_{4,8}=$ (x+4, y+8)

d)

$T_{-4,-8}=$ (x-4, y-8)

3.

Which is a rule for a reflection over the x-axis?

a)

$f\left(x,y\right)=\left(x,-y\right)$

b)

$f\left(x,y\right)=\left(-x,y\right)$

c)

$f\left(x,\ y\right)=\ \left(-y,\ x\right)$

d)

$f\left(x,\ y\right)=\ \left(y,-\ x\right)$

4.

$f\left(x,y\right)=\left(-y,\ x\right)$ is a rule for which transformation?

a)

Reflection over the x axis

b)

Rotation 90 degrees counterclockwise

c)

Rotation 270 degrees counterclockwise

d)

Reflection over the line y=x

5.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

6.

What are the coordinates of point A' , the image of point A(-4, 1) after the composite transformation R₉₀(r_y=x (A)) where the origin is the center of rotation?

a)

(-1, -4)

b)

(-4, -1)

c)

(1, 4)

d)

(4, 1)

7.

What is the measure of the missing/unlabeled angle?

(a)

8.

What is the measure of <g?

a)

g=105

b)

g=55

c)

g=125

d)

g=175

9.

Solve for x

a)

5

b)

90

c)

25

d)

10

10.

Find the value of x

a)

-5

b)

28

c)

19

d)

-3

11.

Name the angle vertical to <PQM

a)

<JQM

b)

<MQP

c)

<LQJ

d)

<LQN

12.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

13.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

14.

Determine the measure of OP

a)

OP = 12

b)

OP = 36

c)

OP = 24

d)

OP = 9

15.

If AB is a midsegment of triangle XYZ,

find the value of x.

(Enter your answer as a numerical value.)

(a)

16.

What is the value of t?

(a)

17.

The lengths of two sides are given (6, 15). What are the possible length of the third side? Between what two numbers

a)

Between 6 and 15

b)

Between 9 and 21

c)

Between 6 and 21

18.

If <a = 63* and <b = 88*, what is the measure of <c?

a)

29*

b)

30*

c)

90*

d)

180*

19.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

20.

Solve for x.

a)

16

b)

11

c)

50

d)

6

21.

What is the measure of angle 2?

a)

50

b)

65

c)

115

22.

Find x.

a)

x = 118

b)

x = 31

c)

x = 23

d)

x = 62

23.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

24.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

25.

State if the two triangles are congruent. If so, state how you know.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Not Congruent

26.

If ∆LMK ≅ ∆LMT, then ∠K ≅ ____

a)

$L$

b)

$\angle L$

c)

$\angle T$

d)

T

27.

If $\Delta MAN\cong\Delta BOY$ , which of the following statements are true?

a)

$\overline{MA}\cong\overline{BO}$

b)

$\overline{AN}\cong\overline{BY}$

c)

$\overline{BO}\cong\overline{NA}$

d)

$\overline{MN}\cong\overline{BO}$

28.

What is the value of the missing angle?

a)

90

b)

100

c)

20

d)

120

29.

QR is a midsegment of triangle BCD. What is the length of QR?

a)

18

b)

11

c)

9

d)

-18

30.

PQ is the perpendicular bisector of MN. What is QN?

a)

7

b)

14

c)

10.5

d)

28

31.

Given segment AM is a median in ΔABC. Find the length of segment BC.

a)

34

b)

6

c)

17

d)

27

32.

Order the angles from least to greatest.

a)

A, B, C

b)

C, B, A

c)

B, A, C

d)

B, C, A

33.

Order the sides from least to greatest.

a)

BC, AC, AB

b)

AB, AC, BC

c)

AC, AB, BC

d)

BC, AB, AC

34.

$90\degree$ Rotation Counterclockwise

a)

(x, -y)

b)

(-y, x)

c)

(-x, -y)

d)

(y, -x)

35.

$180\degree$ Rotation Counterclockwise

a)

(x, -y)

b)

(-y, x)

c)

(-x, -y)

d)

(y, -x)

36.

$270\degree$ Rotation Clockwise

a)

(x, -y)

b)

(-y, x)

c)

(-x, -y)

d)

(y, -x)

37.

Reflection across the y-axis

a)

(x, -y)

b)

(-y, x)

c)

(-x, y)

d)

(y, -x)

38.

Reflection across the x-axis

a)

(x, -y)

b)

(-y, x)

c)

(-x, y)

d)

(y, -x)

39.

Which transformation represents a translation down 4 units and right 2 units?

a)

$(x,y)\rightarrow(x+4,\ y-2)$

b)

$(x,y)\rightarrow(x-4,\ y+2)$

c)

$(x,y)\rightarrow(4x,\ 2y)$

d)

$(x,y)\rightarrow(x+2,\ y-4)$

40.

Reflection across the line $y=x$

a)

(x, -y)

b)

(y, x)

c)

(-x, y)

d)

(-y, -x)

41.

Reflection across the line $y=-x$

a)

(x, -y)

b)

(y, x)

c)

(-x, y)

d)

(-y, -x)

42.

All of the alternate exterior angle pairs are:

a)

$\angle3\ and\ \angle6$

b)

$\angle1\ and\ \angle8$

c)

$\angle2\ and\ \angle7$

d)

$\angle4\ and\ \angle5$

e)

$\angle2\ and\ \angle5$

43.

All of the alternate interior angle pairs are

a)

$\angle2\ and\ \angle7$

b)

$\angle4\ and\ \angle5$

c)

$\angle2\ and\ \angle5$

d)

$\angle4\ and\ \angle7$

e)

$\angle1\ and\ \angle5$

44.

All of the corresponding angle pairs are

a)

$\angle1\ and\ \angle5$

b)

$\angle2\ and\ \angle6$

c)

$\angle3\ and\ \angle7$

d)

$\angle4\ and\ \angle8$

e)

$\angle1\ and\ \angle8$

45.

Match each angle pair with it's type of relationship.

a)

$\angle3\ and\ \angle7$

1.

Corresponding

b)

$\angle9\ and\ \angle4$

2.

Alternate Interior

c)

$\angle5\ and\ \angle16$

3.

Alternate Exterior

d)

$\angle7\ and\ \angle13$

4.

Consecutive Interior

e)

$\angle6\ and\ \angle8$

5.

Linear Pair

46.

If the measure of ∠2 is (2x)° and ∠4 is (6x+52)°, what is the measure of ∠3?

a)

16°

b)

32°

c)

80.5°

d)

148°

47.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

48.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

49.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

50.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

51.

What is #3 Reason and #4 Statement?

a)

#3 - Reflexive Property

#4 - ∠ACB ≌ ∠ECD

b)

#3 - Definition of Midpoint

#4 - ∠ACB ≌ ∠ECD

c)

#3 - Segment Bisector

#4 - ∠BCA ≌ ∠DCE

d)

#3 - Reflexive Property

#4 - ∠BCA ≌ ∠DCE

52.

ΔABE ≅ Δ_____ by _____

a)

ΔCDE , ASA

b)

ΔEDC , AAS

c)

ΔCDE , AAS

d)

Cannot Be Determined

53.

ΔVXW ≅ Δ_____ by _____

a)

ΔYXW , AAS

b)

ΔYWX , AAS

c)

ΔYXW , ASA

d)

ΔYWX , ASA

54.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

55.

Angles 1 and 2 are in a ratio of 7:11. What is the measure of angle 1?

a)

$10\degree$

b)

$70\degree$

c)

$110\degree$

d)

$18\degree$

MIH Optional Unit 6 Geometry Review

Total questions: 55

Worksheet time: 1hrs 27mins

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