Triangles Test

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Triangles Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

△ABC ≅ △PQR, then which of the following is true?

A
AB = RP

B
CA = RP

C
CB = QP

D
AC = RQ

Solution

Corresponding sides are equal for two congruent triangles.
Question 2
1 / -0

D is a point on the side BC of a △ABC such that AD bisects ∠BAC then:

A
BA >BD

B
BD>BA

C
BD = CD

D
CD>CA

Solution

Since,∠BAC is bisected by AD, then ∠BAD is less than ∠ABC ,hence the side opposite ∠ABC, i.e. BA is greater than the side opposite to ∠BAD i.e.BD
Question 3
1 / -0

In right angled Δ DEF if ∠E = 90^∘, then:

A
DF is the longest side

B
DF is the shortest side

C
DE is the longest side

D
EF is the longest side

Solution

In a triangle, only one right angle is possible, hence it is the greatest angle and the side opposite to it is the longest side. Here, the side opposite to ∠ E is DF,hence,it is the longest side.
Question 4
1 / -0

PQR is a right angled triangle in which ∠P = 90^o and PQ = PR . What is the value of ∠Q and ∠R

A
30^o, 60^o

B
45^o,45^o

C
40^o , 50^o

D
20^o, 60^o

Solution

∠P = 90^o
Since, PQ = PR
∠Q=∠R
So, ∠Q = ∠R= (180^o- ∠P) / 2 = (180^o- 90^o) / 2= 90^o/ 2 = 45^o
Question 5
1 / -0

In ∆PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is

A
5 cm

B
4 cm

C
2 cm

D
2.5 cm

Solution

In a triangle, if two of its angles are equal then the sides opposite to equal angles are also equal.

In ∆PQR, ∠R = ∠P

⟹ QR (side opposite to ∠P) = PQ (side opposite to ∠R)

Given that, QR = 4 cm

⟹ PQ = 4 cm

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Re-Attempt Weekly Quiz Competition

Triangles Test - 10

Result

Triangles Test - 10

Score

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Rank

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SHARING IS CARING

Question 1

AB = RP

CA = RP

CB = QP

AC = RQ

Solution

Question 2

BA >BD

BD>BA

BD = CD

CD>CA

Solution

Question 3

DF is the longest side

DF is the shortest side

DE is the longest side

EF is the longest side

Solution

Question 4

30o, 60o

45o,45o

40o , 50o

20o, 60o

Solution

Question 5

5 cm

4 cm

2 cm

2.5 cm

Solution

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30^o, 60^o

45^o,45^o

40^o , 50^o

20^o, 60^o