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Worksheets

Geometry

Total questions: 7

Worksheet time: 14mins

Name
Class
Date
1.

Consider a heptagon ABCDEFG as shown. The angles at the vertices are marked as 130°, 140°, 120°, 130°, 120°, 110°, and x°. What does x equal?

a)

320

b)

150

c)

140

d)

330

2.

Consider the following equation of a circle: x2+y2+18x6y=0x^2 + y^2 + 18x - 6y = 0 . What is the radius of the circle?

a)

90 units

b)

0 units

c)

3103\sqrt{10} units

d)

323\sqrt{2} units

3.

A boy walks 300 m towards East and then 250 m towards North. What is the distance of the boy from the starting point?

a)

250 m

b)

506150\sqrt{61} m

c)

606160\sqrt{61} m

d)

106110\sqrt{61} m

4.

If ABCD is a parallelogram, P is a point on side BC and DP, when produced, meets AB produced at L. Select the correct option.

a)

DPBL=DCPL\dfrac{DP}{BL}=\dfrac{DC}{PL}

b)

DPPL=DCBL\dfrac{DP}{PL}=\dfrac{DC}{BL}

c)

DPPL=BLDC\dfrac{DP}{PL}=\dfrac{BL}{DC}

d)

DPPL=ABDC\dfrac{DP}{PL}=\dfrac{AB}{DC}

5.

QA and PB are perpendicular to AB. If AO=10AO = 10 cm, BO=6BO = 6 cm and PB=9PB = 9 cm, find the measure of AQAQ (see the figure).

a)

9 cm

b)

12 cm

c)

15 cm

d)

18 cm

6.

What is the value of x + y in the given figure?

a)

110

b)

130

c)

140

d)

150

7.

In the figure, ACDE is a rectangle and BE=2CDBE = 2\,CD . What is the measure of angle CBE?

a)

120

b)

130

c)

140

d)

150