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Proving Two Triangles are Congruent

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

Congruent parts are marked. What is the other part that are congruent? What postulate best proves the congruence of the two triangles?

a)

Angle P and Angle R by SAS Postulate

b)

Segment AT and Segment TA by Reflexive Property

c)

Angle P and Angle R by ASA Postulate

d)

Segment AT and Segment TA by SSS Postulate

2.

(a)   is a theorem/definition that proves angle SAD and angle FTA are congruent?

3.

By ASA postulate, the two triangles are congruent. What part of the triangles should be marked congruent?

a)

Angle H and Angle S

b)

Segment RT and Segment TR

c)

Angle HRS and Angle STH

d)

Segment ST and Segment RH

4.

Which of the following proves that angle A and angle N are congruent?

a)

Reflexive Property

b)

Angle Bisector Theorem

c)

Definition of Vertical Angles

d)

Definition of Right Angles

5.

In the figure, what segment is the angle bisector?

a)

OH

b)

OM

c)

OE

d)

HM

6.

Which of the following statements will be the given statement in your two-column proof?

a)

HO‾≅MO‾\overline{HO}\cong\overline{MO}  and HE‾≅ME‾\overline{HE}\cong\overline{ME}  

b)

OM‾≅MO‾\overline{OM}\cong\overline{MO}  and HO‾≅OH‾\overline{HO}\cong\overline{OH}  

c)

HE‾≅ME‾\overline{HE}\cong\overline{ME}  and OE‾≅EO‾\overline{OE}\cong\overline{EO}  

d)

HM‾≅MH‾\overline{HM}\cong\overline{MH}  and EO‾≅OE‾\overline{EO}\cong\overline{OE}  

7.

EO‾≅OE‾\overline{EO}\cong\overline{OE}  . What property proves that the segments are congruent?

(a)  

8.

Which of the following proves that ΔHOE≅ΔMOE\Delta HOE\cong\Delta MOE  ?

a)

AAS Congruence Postulate

b)

SAS Congruence Postulate

c)

ASA Congruence Postulate

d)

SSS Congruence Postulate

9.

What part of a house forms congruent triangles similar to the picture?

a)

Trusses

b)

Wall

c)

Floor

d)

Stairs

10.

Which of the following ways or forms can be used in proving?

a)

Paragraph

b)

Flow Chart

c)

Two-Column

d)

All of the above