Triangles and Circles (IMO- Mathematics Olympiad Class 9): Questions 69 - 72 of 79

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Question number: 69

» Triangles and Circles

MCQ▾

Question

In a ABC , the medians AD, BE and CF meet at G, then 4(AD2+BE2+CF2)= ________

Triangle ABC and its medians

Triangle ABC and Its Medians

Triangle ABC and the medians AD, BE and CF meets at G

Choices

Choice (4) Response

a.

4(AB2+BC2+AC2)

b.

7(AB2+BC2+AC2)

c.

3(AB2+BC2+AC2)

d.

(AB2+BC2+AC2)

Question number: 70

» Triangles and Circles

MCQ▾

Question

In the figure XY¯=XZ¯ , YXM=60˚ and XN¯=XM¯ . Then K equals ________

iven the figure line xy equal to XZ and XN equal to XM

Iven the Figure Line Xy Equal to XZ and XN Equal to XM

Given the figure line xy equal to XZ and XN equal to XM and find the value of k

Choices

Choice (4) Response

a.

71°2

b.

10°

c.

30°

d.

121°2

Question number: 71

» Triangles and Circles

MCQ▾

Question

In the given figure, AD is the bisector of A and AB=AC . Then ADC , ADB are congruent by which criterion?

Given the AD is the bisector of A and AB is equal to AC

Given the AD Is the Bisector of a and AB Is Equal to AC

Given the AD is the bisector of A and AB is equal to AC find the triangle ADC and ADB are congruent by which criterion

Choices

Choice (4) Response

a.

SAS

b.

AAA

c.

ASA

d.

All of the above

Question number: 72

» Triangles and Circles

MCQ▾

Question

In the figure RP=PQ , RS=RQ and TS RQ . If the exterior angle RPU is 110˚ , then the angle TSR is ________

Given RP=PQ, RS=RQ and TS is parallel to RQ, exterior angle RPU

Given RP = PQ, RS = RQ and TS Is Parallel to RQ, Exterior Angle RPU

Given RP = PQ, RS = RQ and TS is parallel to RQ. If the exterior angle RPU is 110 find the angle TSR

Choices

Choice (4) Response

a.

65°

b.

54°

c.

55°

d.

42°

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