Free Printable Q2W5 Geo SSS SAS AAS ASA HL CPCTC

1.

If ΔCFE ≅ ΔPTR, complete the following statements.

a)

$\angle$ T≅

1.

$\angle$ F

b)

$\overline{CE}$

2.

$\overline{PR\text{}}$

c)

$\angle$ R≅

3.

$\angle$ E

d)

$\overline{FC}$ ≅

4.

$\overline{TP}$

e)

$\overline{RP}$ ≅

5.

$\overline{EC}$

2.

If ΔCFE ≅ ΔPTR, complete each of the following statements.

a)

ΔCFE ≅

1.

ΔPTR

b)

ΔFEC ≅

2.

ΔTRP

c)

ΔEFC ≅

3.

ΔRTP

d)

ΔCEF ≅

4.

ΔPRT

e)

ΔECF ≅

5.

ΔRPT

3.

If ΔDEF ≅ ΔGJH, find each missing measure.

$\overline{GJ}$ ___ $\overline{JH}$ = ___ $\overline{DF}$

$\angle F$ $\angle G$ $\angle J$

a)

19m

1.

$\overline{GJ}$

b)

14m

2.

1 $\overline{HJ}$

c)

16m

3.

2

d)

41⁰

4.

3

e)

34⁰

5.

4

4.

Given ΔRWS ≅ ΔTUV, find the values of x and y.

a)

x = 10

y = 5

b)

x = 11

y = 5

c)

x = 0

y = 6

d)

x = 15

y = 13

e)

x = 11

y = 6

5.

Determine whether the triangles are congruent.

a)

$SSS$

b)

$SAS$ $\Delta\ RPQ\ \cong\Delta\ SPQ$

c)

NOT $\cong$

d)

$SSS$

$\Delta\ RPQ\ \cong\Delta\ SPQ$

e)

$SAS$

6.

Determine whether the triangles are congruent.

a)

$SSS$

b)

$SAS$ $\Delta\ WVZ\ \cong\Delta\ XYZ$

c)

NOT $\cong$

d)

$SSS$

$\Delta\ WVZ\ \cong\Delta\ XYZ$

e)

$SAS$

7.

Determine whether the triangles are congruent.

a)

$SSS$

b)

$SAS$ $\Delta\ ACB\ \cong\Delta\ DCB$

c)

NOT $\cong$

d)

$SSS$

$\Delta\ ACB\ \cong\Delta\ DCB$

e)

HL

8.

Determine whether the triangles are congruent.

a)

$SSS$

b)

$SSS$ $\Delta\ JKL\ \cong\Delta\ LMN$

c)

NOT $\cong$

d)

$SAS$

$\Delta\ JKL\ \cong\Delta\ LMN$

e)

$SAS$

9.

Which of the following proves: $\triangle PRS \cong \triangle PTS$ ?

a)

SAS (Side-Angle-Side)

b)

ASA (Angle-Side-Angle)

c)

SSS (Side-Side-Side)

d)

AAS (Angle-Angle-Side)

e)

AAA (Angle - Angle -Angle

10.

Prove $\Delta PRS\ \cong\Delta PTS$

a)

By SAS (Side-Angle-Side) congruence criterion

1.

AAA

b)

By ASA (Angle-Side-Angle) congruence criterion

2.

AAA

c)

By SSS (Side-Side-Side) congruence criterion

3.

SAS

d)

By AAS (Angle-Angle-Side) congruence criterion

4.

SSS

e)

AAA

5.

AAA

11.

Given the coordinates, fill in the blank one of the following statements:

Not $\cong$

SAS

SSS

HL

AAS

ASA

12.

Complete the proofs.

a)

1.

$\overline{KN}\ \cong\overline{ML}$

b)

2.

$\overline{KN}\ \parallel\ \overline{LM}$

c)

3.

$\angle KNL\ \cong\angle MLN$

d)

4.

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

e)

5.

$\Delta KLN\ \cong\Delta MNL$

13.

Which reason proves $\overline{WX}\ \cong\overline{ZX}$ ?

a)

$\Delta VWX\cong\Delta YZX$

b)

HL

c)

CPCTC

d)

AAS

e)

SSS

14.

Complete the proofs.

What are statements and reasons 1?

(a)

15.

Complete the proofs.

What are statements and reasons 2?

(a)

16.

Complete the proofs.

What are statements and reasons 3?

(a)

17.

Complete the proofs.

What are statements and reasons 4?

(a)

18.

Complete the proofs.

What are statements and reasons 5?

(a)

19.

Complete the proofs.

What are statements and reasons 6?

(a)

20.

Which reason proves $\Delta PQR\ \cong\ \Delta TSR$ ?

a)

AAS

b)

HL

c)

CPCTC

d)

SSS

e)

ASA

21.

Match the triangles to the congruence theorem.

a)

1.

SSS

b)

2.

AAS

c)

3.

SAS

d)

4.

ASA

Q2W5 Geo SSS SAS AAS ASA HL CPCTC

Total questions: 21

Worksheet time: 21mins

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