Free Printable Triangle Congruences

1.

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

a)

A

b)

B

c)

C

d)

D

2.

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

a)

A

b)

B

c)

C

d)

D

3.

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

a)

A

b)

B

c)

C

d)

D

4.

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

a)

A

b)

B

c)

C

d)

D

5.

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

a)

A

b)

B

c)

C

d)

D

6.

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

a)

A

b)

B

c)

C

d)

D

7.

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

a)

A

b)

B

c)

C

d)

D

8.

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

a)

A

b)

B

c)

C

d)

D

9.

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

a)

A

b)

B

c)

C

d)

D

10.

ABC∼XYZ
Which angles corresponds to ∠A

a)

∠X

b)

∠Y

c)

∠Z

d)

∠B

11.

ABC∼XYZ
Which angles corresponds to ∠B

a)

∠X

b)

∠Y

c)

∠Z

d)

∠A

12.

QRST∼XZWY
Which side corresponds to QR

a)

XZ

b)

ZW

c)

WY

d)

XY

13.

Which congruence statement is written accurately for the figures?

a)

$\Delta ABC\cong\Delta RDS$

b)

$\Delta ABC\cong\Delta DSR$

c)

$\Delta ABC\cong\Delta SRD$

d)

$\Delta ABC\cong\Delta DRS$

14.

ΔXYZ ≅ Δ ____

a)

CAB

b)

BAC

c)

ABC

15.

If $\Delta ABC\ \cong\ \Delta\ EFD$ , what is the length of DF?

a)

17cm

b)

15cm

c)

8cm

16.

If $\Delta ABC\ \cong\ \Delta\ EFD$ , What is the length of DE?

a)

17cm

b)

15cm

c)

8cm

17.

The two figures are similar. Finish the similarity statement $EDCBA\ \sim$ ________?

a)

$ZVWXY$

b)

$VWXYZ$

c)

$WXYZV$

d)

$ZYXWV$

18.

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PQ. Hint... sketch and label a picture.

(a)

19.

Solve for $x$ given $∆ABC≅∆MNO$ , $AC=34$ , $AB=14-x$ , and $MO=3x-2$ . Hint (a) sketch a picture.

20.

Given: $\Delta ABC\cong\Delta DEF$ Select ALL the true statements.

a)

$\angle C\cong\angle E$

b)

$CA\cong DF$

c)

$\angle E\cong\angle B$

d)

$BC\cong DF$

e)

$\angle A\cong\angle D$

21.

Find y.

(a)

22.

Find x.

(a)

23.

These triangles are congruent. If ∠A is 48^o what is the measure of ∠F?

(a)

24.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees around the origin

b)

Rotate -90 degrees around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees about the origin.

25.

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

a)

90 degree clockwise rotation

b)

Reflection across the y-axis

c)

Translation 4 degrees to the right

d)

Reflection across the x-axis

Triangle Congruences

Total questions: 25

Worksheet time: 19mins

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