congruence of triangles l1

7/27/2019 Congruence of Triangles L1

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Congruence of Triangles: Class 7

Level 1

Congruence of Plane Figures, Line Segments, Angles and Triangles

1. Which of the following is true for two congruent lines?

a. They are of equal length.

b. They superpose each other.

c. Both a and b.

d. None of the above.

2. Two angles are congruent if

a. They have the same measure.

b. The rays forming the angles are equal in length.

c. Both of the above.

d. None of the above.

3. For two angles which are congruent, are the rays forming them necessarily equal in length?

Why/why not?

4. Out of two congruent angles, one measure 40o. The other should measure

a. 20o

b. 40o

c. 50o

d. 140o

5. If ΔABC ≅ ΔDEF, vertex A corresponds to vertex:

a. D

b. E

c. F

d. Any of these.

6. If ΔABC ≅ ΔDEF, which part of ΔDEF corresponds to

a. ∠A

b. ̅

c. ∠C

d. ∠ABC

7. If ΔABC ≅ ΔDEF, ∠ABC = 50o, ∠ACB= 70o, find the value of ∠EDF.

Criteria of Congruence of Triangles

1. If under a given correspondence, the three sides of one triangle are equal to the three

corresponding sides of another triangle, then the triangles are congruent under

a. SSS criterion

b. SAS criterion

c. ASA criterion

d. RHS criterion



a. SSS

b. SAS

c. ASA

d. None

11. Which triangles are congruent in the following figure?

12. In an isosceles triangle ABC, AB=AC, AD is an altitude to BC. Under which criterion ΔABD ≅

ΔACD?

a. SSS

b. SAS

c. ASA

d. RHS



Answers

Congruence of Plane Figures, Line Segments, Angles and Triangles

1. c

2. a

3. No, rays are just indicative of directions

4. b

5. a

6. a. ∠D

b. ̅

c. ∠F

d. ∠DEF

7. 60o

Criteria of Congruence of Triangles

1. a

2. a

3. d

4. ABD; ACD

5. b

6. c

7. ∠P = ∠X

8. PQR, RSP

9. ∠P = ∠X; ∠Q = ∠Y10. b

11. ABD, BAC

12. d

congruence of triangles l1

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