Circles: Practice 2 | Homework Practice

Section A: Core Practice

Question 1mcq

If two chords of a circle are equidistant from the centre, what can be concluded?

A.The chords are diameters.

B.The chords are perpendicular.

C.The chords are equal in length.

D.The chords meet at the centre.

Question 2mcq

During a proof problem on chords and perpendiculars, what is the diameter of a circle whose radius is

7\,cm

?

A.

7\,cm

B.

14\,cm

C.

21\,cm

D.

49\,cm

Question 3mcq

A cyclic quadrilateral has one angle equal to

70^\circ

. What is the measure of its opposite angle?

A.

110^\circ

B.

70^\circ

C.

90^\circ

D.

140^\circ

Question 4mcq

Triangle

ABC

has base

AB=7

units on a horizontal line and perpendicular height

5

units. What is its area?

A.

24

square units

B.

35

square units

C.

12

square units

D.

17.5

square units

Question 5mcq

The point

(-2,3)

lies in which quadrant?

A.Quadrant III

B.Quadrant I

C.Quadrant II

D.Quadrant IV

Section B: Application Practice

Question 6mcq

What is the distance between

(1,-1)

and

(4,3)

?

A.

4

units

B.

5

units

C.

7

units

D.

25

units

Question 7mcq

A cyclic quadrilateral has one angle equal to

70^\circ

. What is the measure of its opposite angle?

A.

110^\circ

B.

70^\circ

C.

90^\circ

D.

140^\circ

Question 8mcq

In a circle, a perpendicular from the centre to a chord meets the chord at

M

. What must be true about the chord?

A.The centre lies on the chord.

B.The chord becomes a diameter.

C.The chord has length equal to the radius.

D.

M

bisects the chord.

Question 9mcq

If two chords of a circle are equidistant from the centre, what can be concluded?

A.The chords are diameters.

B.The chords are perpendicular.

C.The chords are equal in length.

D.The chords meet at the centre.

Question 10mcq

During a design problem on chords and perpendiculars, what is the diameter of a circle whose radius is

7\,cm

?

A.

7\,cm

B.

14\,cm

C.

21\,cm

D.

49\,cm