Free Printable unit 4 (congruence) Prep

1.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

2.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

3.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

4.

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

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

5.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta ACB\cong\Delta ABD$

b)

$\Delta BAC\cong\Delta BAD$

c)

$\Delta CAB\cong\Delta DBA$

d)

$\Delta ADB\cong\Delta BCA$

6.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB

7.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

8.

Use the congruency statement to answer the following:
∠F = ___

a)

∠H

b)

∠I

c)

∠G

d)

not congruent to another angle

9.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

10.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

Yes, ASA

e)

Not Congruent

11.

What is the measure of <C?

a)

5º

b)

25º

c)

100º

d)

125º

12.

If ΔDEF ≅ ΔRST, then we can conclude that DE = what?

a)

ST

b)

RS

c)

DF

d)

RT

13.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

14.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

15.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

16.

Which set of equivalent measures does NOT make it possible to determine if any two given triangles are congruent?

a)

Angle-Side-Angle

b)

Side-Angle-Side

c)

Angle-Angle-Side

d)

Angle-Angle-Angle

17.

Determine whether the given triangles are congruent.

a)

congruent

b)

not congruent

18.

If $\Delta EHG\cong\Delta KFC$ , which statement is true?

a)

$\overline{EH}\cong\overline{FK}$

b)

$\overline{HG}\ \cong\ \overline{KF}$

c)

$\overline{EG}\ \cong\ \overline{KC}$

d)

$\angle E\cong\angle C$

19.

a)

20

b)

63

c)

35

d)

78

20.

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

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

21.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

22.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

23.

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

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o clockwise rotation

d)

90^o counterclockwise rotation

24.

C(-6, 2) and B(-1, -1)
Reflect over the line y = x

a)

C' (-6, 2), B' (-1, -1)

b)

C' (6, 2), B' (1, -1)

c)

C' (2, -6), B' (-1, -1)

d)

C' (-6, -2), B' (-1, -1)

25.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90^o counter clockwise rotation

26.

What transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

27.

What transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

28.

What transformation is this?

a)

Translation

b)

Reflection

c)

Rotation

29.

What is the image of the point (3, 3) under the translation $\left(x,\ y\right)\rightarrow\left(x+1,\ y-4\right)$

a)

(4, -1)

b)

(2, 7)

c)

(-1, 4)

d)

(7, 2)

30.

What is the translation rule that maps the point P (4, 1) to the point P' (-3, -5)?

a)

$\left(x,\ y\right)\rightarrow\left(x\ -\ 7,\ y\ -6\right)$

b)

$\left(x,\ y\right)\rightarrow\left(x\ +7,\ y\ +\ 6\right)$

c)

$\left(x,\ y\right)\ \rightarrow\ \left(x-1,\ y\ +\ 4\right)$

d)

$\left(x,\ y\right)\ \rightarrow\ \left(x+1,\ y\ -4\right)$

31.

What is the translation rule that maps the black image onto the blue image?

a)

$\left(x,\ y\right)\rightarrow\left(x-3,\ y+2\right)$

b)

$\left(x,\ y\right)\rightarrow\left(x+3,\ y-2\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x+2,\ y-1\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x+2,\ y-3\right)$

32.

Which rule describes the transformation from RSTUVW to R'S'T'U'V'W'?

a)

$\left(x,\ y\right)\ \rightarrow\ \left(-y,\ x\right)$

b)

$\left(x,\ y\right)\ \rightarrow\ \left(y,\ -x\right)$

c)

$\left(x,\ y\right)\ \rightarrow\ \left(-x,\ -y\right)$

d)

$\left(x,\ y\right)\ \rightarrow\ \left(-y,\ -x\right)$

33.

Rotate ΔQJH 90⁰ counter-clockiwse about the origin and determine the location of ΔQ'J'H'.

a)

Q'(0, -1); J'(-5, 3); H'(-3, -5)

b)

Q'(1, 0); J'(3, -5); H'(5, -3)

c)

Q'(-1, 0); J'(-3, -5); H'(-5, -3)

d)

Q'(-1, 0); J'(-3, 5); H'(-5, 3)

34.

ΔABC is rotated 90⁰ clockwise. Determine the coordinates of ΔA'B'C'.

a)

A'(-2, -2); B'(5, 2); C'(2, 4)

b)

A'(-2, 2); B'(-5, 2); C'(-4, 2)

c)

A'(2, -2); B'(5, -2); C'(4, -2)

d)

A'(2, 2); B'(5, 2); C'(4, 2)

35.

An octagon is located in Quadrant II and its rotated 180⁰ clockwise. Which quadrant does it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

36.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

a)

S'(3, 7)

b)

S'(-3, 7)

c)

S'(-3, -7)

d)

S'(3, 7)

unit 4 (congruence) Prep

Total questions: 36

Worksheet time: 2hrs 40mins

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