MCQ Questions

Question No. 1

Name the type of angles shown in each of the diagrams.

Answer :

a)

b)

c)

d)

Question No. 2

Calculate the size of each angle marked with an arc.

Answer :

a)

b)

c)

d)

Question No. 3

Find the values of x and y.

Answer :

a) x

b) y

Question No. 4

Find the values of the unknown angles.

Answer :

a)

b)

c)

d)

e)

f)

g)

h)

Question No. 5

If 85° and t are complementary angles, find t; if 65° and t are supplementary angles, find t; if 55° and t are vertically opposite angles, find t.

Answer :

c) vertically opposite t

a) complementary t

b) supplementary t

Question No. 6

State, giving reasons, the relationship between:

Answer :

a) c and d

b) x and y

Question No. 7

Which of the following statements is/are true when two straight lines intersect?

Answer :

a) adjacent angles are supplementary

b) adjacent angles are equal

c) vertically opposite angles are equal

d) vertically opposite angles are supplementary

Question No. 8

Calculate the unknown values of the angles in the triangles below.

Answer :

a)

b)

c)

d)

Question No. 9

Calculate the angles that are labelled by letters in the triangles below.

Answer :

a)

b)

c)

Question No. 10

Calculate the values of x, y and z in each triangle.

Answer :

a)

b)

c)

d)

e)

Question No. 11

State the condition of congruency that supports the argument that ΔPQR is congruent to ΔWXY in each case listed below.

Answer :

a) Pˆ = W, PQ = WX, PR = WY

b) PQ = WX, QR = XY, RP = YW

c) QP = XW, Qˆ = X, QR = XY

Question No. 12

In each case, write out the condition for which the abbreviation stands.

Answer :

a) SAS

b) RHL

c) AAS

Question No. 13

Use the diagrams to answer the questions that follow.

Answer :

a) Name the two congruent triangles.

b) Give a reason for your answer.

Question No. 14

If BQ = QC and PQ = QR, prove that these triangles are congruent.

Answer :

a) ΔPQB and ΔRQC

b) ΔABR and ΔACP

Question No. 15

Use the diagram below and the properties listed to complete the sentences: vertically opposite, corresponding, supplementary, alternate interior, exterior.

Answer :

a) Angles b and c are ___ angles.

b) Angles f and e are ___ angles.

c) Angles a and e are ___ angles.

d) Angles d and h are ___ angles.

e) Angles c and d and g and h are ___ angles.

f) Angles a and f and e and b are ___ angles.

Question No. 16

Given that l₁ and l₂ are parallel lines, calculate the angles that are labelled with letters.

Answer :

Question No. 17

Determine the size of the angles marked a to d in the diagrams below.

Answer :

a)

b)

c)

d)

Question No. 18

In the diagram below, ∠TQS = ∠Q̄R. Prove that ∠PQT = ∠P̄QR.

Answer :

Question No. 19

In the figure, lines AB, DB, CB and EB all meet at B. ∠ABC = ∠DBE = 90°. Prove that PB ⟂ PE.

Answer :

Question No. 20

Given △CDE ≡ △FCG, prove that DE || FG

Answer :

Question No. 21

If AB = 5 cm, BC = 6 cm and AD = 6 cm, what is the length of EF?

Answer :

Question No. 22

In the diagram ΔLBC, find AF if AD = 6, DB = 4 and CE = 5.

Answer :

Question No. 23

Calculate CN in the diagram alongside if FA and CN are parallel.

Answer :

Question No. 24

Calculate length WV in ΔSTU.

Answer :

Question No. 25

Find lengths IJ and KJ in the diagram below if HI = 13 cm, HJ = 16 cm, LJ = 4.5 cm and KL = 6.5 cm.

Answer :

Question No. 26

Lewa holds her arm in front of her so that her hand is one metre from her body. The height of her hand is 5 cm and it can hide a 400 m high mountain far away. How far is she from the mountain?

Answer :

Question No. 27

If LM ∥ JK, calculate y.

Answer :

Question No. 28

Given ∠EDH with ED = 36, EG = 42, GH = 21 and GF = 15, find GF.

Answer :

Question No. 29

In ΔABF, AD ∥ DC, AC ∥ DE, AD = 8, DF = 12, AB = 15 and BF = 25, calculate BC, CE, CD, CE, DF and the ratio DE : AF.

Answer :

Question No. 30

Calculate angles for regular polygons

Answer :

a) What is the measure of one exterior angle of a pentagon?

b) What is the measure of one interior angle of a regular octagon?

c) What is the size of one of the angles at the centre of a regular hexagon?

Question No. 31

Calculate for regular hexagon

Answer :

a) the sum of the interior angles of the regular hexagon

b) the size of one of the interior angles

Question No. 32

Identify polygon from exterior angle

Answer :

a) 18°

b) 45°

c) 6°

Question No. 33

Identify polygon from interior angle

Answer :

a) 150°

b) 162°

c) 156°

Question No. 34

Given the diagram below

Answer :

a) Solve for x.

b) Prove that MNPQ is a parallelogram.

Question No. 35

Given quadrilateral ABPC

Answer :

a) ∠AOB = ∠POC

b) ABPC is a parallelogram.

Chapter

Enter Your Book Codewwww

Enter Your Book Code

Insert 6 Digit Book Code

Enter the code sent to