Triangle, Circle & Constructions (IMO- Mathematics Olympiad Class 10): Questions 8 - 12 of 63

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Question number: 8

» Triangle, Circle & Constructions

MCQ▾

Question

In an isosceles triangle ABC, AC=BC BAC is bisected by AD where D lies on BC. It is found that AD=AB . Then ACB equals ________

Given the triangle ABC and D is a lies on BC

Given the Triangle ABC and D Is a Lies on BC

Given the triangle ABC and angle BAC is bisected by AD where D lies on BC

Choices

Choice (4) Response
a.

54°

b.

36°

c.

60°

d.

72°

Question number: 9

» Triangle, Circle & Constructions

MCQ▾

Question

In rhombus ABCD, AB2+BC2+CD2+DA2 =________

Given the rhombus ABCD

Given the Rhombus ABCD

Given the rhombus ABCD and find the All sides square number

Choices

Choice (4) Response
a.

OA2+OB2

b.

OB2+OC2

c.

AC2+BD2

d.

OC2+OD2

Question number: 10

» Triangle, Circle & Constructions

MCQ▾

Question

In an equilateral triangle PQR, This side QR is trisected at S, then 7PQ2= ________

Given the Equilateral triangle PQR

Given the Equilateral Triangle PQR

Given the Equilateral triangle PQR, this side QR is trisected at S

Choices

Choice (4) Response
a.

9PS2

b.

4PS2

c.

8PS2

d.

3PS2

Question number: 11

» Triangle, Circle & Constructions

MCQ▾

Question

In the given figure, if BALK and BCLM , then JAAK= ________

Given the BA is parallel to LK and BC is parallel to LM

Given the BA Is Parallel to LK and BC Is Parallel to LM

Given the BA is parallel to LK and BC is parallel to LM in a given figure

Choices

Choice (4) Response
a.

JCCM

b.

JBBL

c.

JBJL

d.

JLJK

Question number: 12

» Triangle, Circle & Constructions

MCQ▾

Question

In equilateral PQR, PD is altitude. Then 4PD2 equals ________

Given the equilateral triangle PQR and PD is an altitude

Given the Equilateral Triangle PQR and PD Is an Altitude

Given the equilateral triangle PQR and PD is an altitude then find the four times PD square value

Choices

Choice (4) Response
a.

2QD2

b.

QR2

c.

2DR2

d.

3PQ2

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