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Test: Cyclic Quadrilaterals - Grade 9 MCQ


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15 Questions MCQ Test - Test: Cyclic Quadrilaterals

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Test: Cyclic Quadrilaterals - Question 1

In the given figure, ∠M is 75° then ∠O is equal to.

Detailed Solution for Test: Cyclic Quadrilaterals - Question 1
We know that, sum of all angles of rectangle =360 so, the sum of 2 angles of rectangle = 360\2 = 180  Angle A + Angle B=180  75+B=180 or, B=180-75 or, B=105 degree.
Test: Cyclic Quadrilaterals - Question 2

A, B, C and D are four points on a circle. AC and BD intersect at E such that angle BEC =140° and angle ECD = 25°, then angle BAC is

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Test: Cyclic Quadrilaterals - Question 3

ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If angle DBC = 55° and angle BAC = 45°, the measure of angle BCD is

Detailed Solution for Test: Cyclic Quadrilaterals - Question 3

∵∠BAC and ∠BDC are in the same segment.

∴ ∠BAC=∠BDC=45

Now in ΔBCD, ∠DBC+∠BDC+∠BCD=180∘ (Sum of angles of a triangle)

⇒55+45+∠BCD=180

⇒100+∠BCD=180

⇒∠BCD=180−100∘ = 80

Hence, ∠BCD=80

Test: Cyclic Quadrilaterals - Question 4

In the figure, triangle ABC is an isosceles triangle with AB = AC and measure of angle ABC = 50°. Then the measure of angle BDC and angle BEC will be

Test: Cyclic Quadrilaterals - Question 5

In the figure, quadrilateral PQRS is cyclic. If ∠P = 80°, then ∠R =

Test: Cyclic Quadrilaterals - Question 6

If AB = 12 cm, BC = 16 cm and AB ⊥ BC, then radius of the circle passing through A,B and C is

Detailed Solution for Test: Cyclic Quadrilaterals - Question 6

Test: Cyclic Quadrilaterals - Question 7

In the figure, ABC is an equilateral triangle. Measure of angle BEC is

Test: Cyclic Quadrilaterals - Question 8

In the figure, ∠M = 82°, then O = ?

Test: Cyclic Quadrilaterals - Question 9

In the figure, ABCD is a cyclic quadrilateral. AF is drawn parallel to CB and DA is produced to point E. If angle ADC = 92°, angle FAE = 20°; then angle BCD will be

Test: Cyclic Quadrilaterals - Question 10

If ∠C = ∠D = 50° then four points A, B, C, D:

Test: Cyclic Quadrilaterals - Question 11

In the figure, angle BAD = 75°, angle DCF = x and angle DEF = y.The values of x and y are

Test: Cyclic Quadrilaterals - Question 12

If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:

Test: Cyclic Quadrilaterals - Question 13

In the figure, O is the centre of the circle. The measure of angle CBD is

Test: Cyclic Quadrilaterals - Question 14

ABCD is a cyclic quadrilateral in a circle with centre O. If angle ADC = 130°; then angle BAC is

Test: Cyclic Quadrilaterals - Question 15

ABC is an isosceles triangle in which AB = AC. If D and E are the mid points of AB and AC respectively, then the points D, B, C and E are

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