Free Printable Unit 3 & 4 Geometry Practice

1.

Identify the transformation rule.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

2.

Identify the transformation rule.

a)

(x + 2, y - 5)

b)

(x + 2, y - 9)

c)

(x - 2, y - 9)

d)

(x - 2, y + 9)

3.

What is the line of reflection?

a)

y = -x

b)

y = x

c)

x-axis

d)

y-axis

4.

What is the line of reflection?

a)

y = -x

b)

y = x

c)

x-axis

d)

y-axis

5.

What is the ordered pair for the final location of P( 2, 3) after this series of transformations? $\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)$ then reflected over the $y-axis?$

a)

$P''\left(-4,\ 1\right)$

b)

$P''\left(-4,\ -1\right)$

c)

$P''\left(1,\ -4\right)$

d)

$P''\left(-1,\ -4\right)$

6.

What is the ordered pair for the final location of P( 7, -3) after this series of transformations? reflection over the y-axis then rotated $180\degree$ clockwise about the origin.

a)

$P''\left(-7,\ -3\right)$

b)

$P''\left(3,\ 7\right)$

c)

$P''\left(-3,\ -7\right)$

d)

$P''\left(7,\ 3\right)$

7.

Reflect about the y -axis
(-3 , -6)

a)

(3, 6)

b)

(-3, 6)

c)

(3, -6)

d)

(3, 6)

8.

In the picture, if triangle ABC is reflected over the y-axis, what is the ordered pair for point A'?

a)

A' (-2, 3)

b)

A'(2, 3)

c)

A'(2, -3)

d)

A'(-2, -3)

9.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

Not enough info

10.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by ASA

d)

No, this is the SSA one!!

11.

What additional information is enough to prove the triangles by HL?

a)

∠F ≅ ∠L

b)

∠E ≅ ∠M

c)

NM = DE

12.

What additional info would prove each pair of triangles congruent by HL?

a)

$\angle M\cong\angle Y$

b)

$\overline{LM}\cong\overline{XY}$

c)

$\overline{LN}\cong\overline{XZ}$

d)

$\angle N\cong\angle Z$

13.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

WM = ZY

b)

∠W ≅ ∠Z

c)

∠M ≅ ∠Y

d)

MX = ZX

14.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

$\angle W\cong\angle J$

b)

$\overline{LJ}\cong\overline{WU}$

c)

$\angle U\cong\angle L$

d)

$\overline{VJ}\cong\overline{VW}$

15.

Solve for x

a)

5

b)

4

c)

3

d)

2

16.

In the figure, ΔJKL ≅ ΔRQP. Solve for x.

a)

4.2

b)

7

c)

7.25

d)

4

17.

Reflecting a figure over the x-axis, then over the y-axis is the same as what single transformation?

a)

Rotating 180 degrees about the origin

b)

Reflecting over y = x

c)

Rotating 90 degrees CCW about the origin

d)

Rotating 90 degrees CW about the origin

18.

Which method(s) transform ΔABC to map onto ΔA'B'C'?

Method 1: Rotate ΔABC 180^o about the origin

Method 2: Reflect ΔABC over the y-axis, then reflect that image over the x-axis

a)

Method 1

b)

Method 2

c)

Both methods

d)

Neither method

19.

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

a)

A

b)

B

c)

C

d)

D

20.

The red triangle represents what type of rotation:

a)

180° Clockwise

b)

90° Counterclockwise

c)

90° Clockwise

d)

270° Counterclockwise

21.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y-axis

b)

translate 5 down and 1 left, then reflect over y-axis

c)

reflect over y=x then translate left 8

d)

reflect over x-axis then rotate 90 clockwise

22.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 90 Degrees CW

b)

Reflection over y-axis, then rotation of 90 Degrees CCW

c)

Rotation of 90 Degrees CCW, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over x-axis

23.

QR is a midsegment of triangle FGH. Find the length of FH?

a)

11

b)

-11

c)

-5.5

d)

22

24.

Find the length of FG. (Hint: solve for x and substitute)

a)

5

b)

6

c)

14

d)

8

25.

UV is a midsegment of triangle FGH. What is the length of segment UV?

a)

12

b)

10

c)

5

d)

-12

26.

The triangles are similar. Complete the similarity statement.

a)

ΔCML

b)

ΔCLM

c)

ΔLMC

d)

ΔMCL

27.

The triangles are similar. Complete the similarity statement.

a)

ΔULM

b)

ΔMLU

c)

ΔLMU

d)

ΔUML

28.

Find the missing length indicated.

a)

22

b)

2

c)

15

d)

16

29.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

30.

Determine the correct scale factor.

a)

0.5

b)

2

c)

4

d)

0.25

31.

Solve for x.

a)

4 ft

b)

15 ft

c)

18 ft

d)

2 ft

32.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

33.

a)

SSS~

b)

SAS~

c)

AA~

d)

Not Similar

34.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

35.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

Unit 3 & 4 Geometry Practice

Total questions: 35

Worksheet time: 1hrs 14mins

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