Congruence of Triangles Test

Result

Congruence of Triangles Test - 6

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Question 1
1 / -0

Directions For Questions

Given below are three statements about congruence written by three friends. Read the statements carefully and answer the question that follows.

Tanmay: All circles are congruent.
Simran: All acute angled triangles are congruent.
Rohan: All scalene triangles are congruent.

...view full instructions

Who wrote the incorrect statement?

A
Tanmay

B
Simran

C
Rohan

D
All of them

Solution

Only circles of the same radius are congruent.
For triangles, size of the sides and measurement of angles are needed to check congruence.

Not all scalene triangles are congruent.
So, all of them wrote incorrect statements.
Question 2
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Directions For Questions

Read the given statements carefully and choose the correct option.

...view full instructions

Statement 1: Two triangles are congruent triangles, if they have three congruent sides and three congruent angles.
Statement 2: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

A
Only statement 1 is correct

B
Only statement 2 is correct

C
Both statements 1 and 2 are correct

D
Both statements 1 and 2 are not correct

Solution

Statement 1 is about SSS congruence criterion, so it is correct.
Statement 2 is about SAS congruence criterion, so it is also correct.
Question 3
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Which of the following statements is correct?

(A) SSA is a criterion of congruence.
(B) If two triangles are equilateral triangles, then they are congruent.
(C) All rectangles are congruent.
(D) None of the above statements is correct.

A
(A)

B
(B)

C
(C)

D
(D)

Solution

None of the statements is correct.

(A) SSA is not a criterion of congruence.
(B) If two triangles are equilateral triangles, then they may or may not be congruent.
(C) All rectangles are not congruent.