Free Printable Unit 5 Review - Congruent Triangles

1.

In the diagram, $\overline{JN}\parallel\overline{LM}$ and $\overline{JK}\cong\overline{KM}$ . Which reason justifies that $\Delta JKN\cong\Delta LKM$ ?

a)

Angle-Angle-Side

b)

Side-Angle-Side

c)

Hypotenuse-Leg

d)

Angle-Angle-Angle

2.

In the diagram, $\overline{AD}\cong\overline{CD}$ and $\overline{AB}\cong\overline{BC}$ . Why is $\Delta DAB\cong\Delta DCB$ ?

a)

Side-Side-Side

b)

Side-Angle-Side

c)

Angle-Side-Angle

d)

Angle-Angle-Side

3.

The diagram shows right triangles $\Delta JLM\cong\Delta JLK$ . Using the diagram, what additional information would need to be given to prove $\Delta JLM\cong\Delta JLK$ using HL?

a)

$\overline{LM}\cong\overline{KL}$

b)

$\overline{JM}\cong\overline{JK}$

c)

$\angle M\cong\angle K$

d)

$\angle MJL\cong\angle KJL$

4.

Which additional fact is needed to prove $\Delta PRS\cong\Delta QSR$ by the hypotenuse-leg theorem?

a)

$\angle P\cong\angle Q$

b)

$\overline{PS}\cong\overline{QR}$

c)

$\angle PRS\cong\angle QSR$

d)

$\overline{PR}\cong\overline{QS}$

5.

Which additional fact is needed to prove $\Delta TUW\cong\Delta VUW$ by Side-Angle-Side (SAS)?

a)

$\overline{TU}\cong\overline{UV}$

b)

$\overline{TW}\cong\overline{VW}$

c)

$\angle T\cong\angle V$

d)

$\angle TUW\cong\angle VUW$

6.

Find the measure of x that proves these triangles to be congruent given that $m\angle R=5x+1$ and $m\angle K=2x+29$ .

a)

29

b)

5

c)

7

d)

36

7.

If $\Delta DEF\cong\Delta LMN$ , which statement is true?

a)

$m\angle M=35\degree$

b)

$m\angle E=82\degree$

c)

$\overline{DF}=4\ cm$

d)

$\overline{MN}=8\ cm$

8.

Triangles CAI, ARI, and RDI are shown on the coordinate grid, and all the vertices have coordinates that are integers.

Which statement is true?

a)

Triangle CAI, ∆ARI, and ∆RDI are all congruent.

b)

Only ∆CAI and ∆ARI are congruent.

c)

Only ∆CAI and ∆RDI are congruent.

d)

No two triangles are congruent.

9.

Which pair of triangles drawn on the grid are apparently congruent?

a)

$\Delta DOG,\ \Delta CAT$

b)

$\Delta EMU,\ \Delta FLY$

c)

$\Delta DOG,\ \Delta EMU$

d)

$\Delta CAT,\ \Delta FLY$

10.

Which postulate or theorem could be the reason for Step 3 of this proof?

a)

AAS

b)

SAS

c)

ASA

d)

HL

11.

Which postulate or theorem could be the reason for Step #5 of this proof?

a)

SSS

b)

SAS

c)

AAS

d)

ASA

Unit 5 Review - Congruent Triangles

Total questions: 11

Worksheet time: 10mins

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