Triangles Test

Result

Triangles Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statement is/are correct?

(A) In ΔPQR, PQ + PR > QR is always true.
(B) If two angles and one side of a triangle are equal to two angles and the corresponding side of another triangle, then the two triangles are congruent (AAS Congruence Rule).
(C) Angles opposite to equal sides of an isosceles triangle are equal.
(D) In a triangle, the side opposite to the larger (greater) angle is longer.

A
All of them

B
Only (B)

C
Only (A), (C) and (D)

D
Only (B) and (D)

Solution

(A) In (A) In ΔPQR, PQ + PR > QR is always true.
This is true as this is a condition for the formation of a triangle.

(B) If two angles and one side of a triangle are equal to two angles and the corresponding side of another triangle, then the two triangles are congruent (AAS Congruence Rule).
This is a true statement.

(C) Angles opposite to equal sides of an isosceles triangle are equal.
This is true for every isosceles triangle.

(D) In a triangle, the side opposite to the larger (greater) angle is longer.
This is true for every triangle.PQR, PQ + PR > QR is always true.
This is true as this is a condition for the formation of a triangle.

(B) If two angles and one side of a triangle are equal to two angles and the corresponding side of another triangle, then the two triangles are congruent (AAS Congruence Rule).
This is a true statement.

(C) Angles opposite to equal sides of an isosceles triangle are equal.
This is true for every isosceles triangle.

(D) In a triangle, the side opposite to the larger (greater) angle is longer.
This is true for every triangle.
Question 2
1 / -0

If ΔABC ≅ ΔXYZ, then which of the following is true?

(A) ∠ABC = ∠XYZ, ∠BCA = ∠YZX, ∠CAB =∠ZXY
(B) ∠ABC = ∠YXZ, ∠BCA = ∠XYZ, ∠CAB = ∠YZX
(C) ∠ABC = ∠YZX, ∠CAB = ∠XYZ, ∠BCA = ∠ZXY
(D) None of these

A
D

B
A

C
C

D
B

Solution

Since ΔABC ≅ ΔXYZ, their corresponding parts are equal.
Therefore, ∠ABC = ∠XYZ, ∠BCA = ∠YZX, ∠CAB = ∠ZXY