These AP 9th Class Maths Important Questions 13th Lesson Geometrical Constructions will help students prepare well for the exams.

## AP State Syllabus 9th Class Maths 13th Lesson Important Questions and Answers Geometrical Constructions

Question 1.

Construct a triangle ABC with measures AB = 5 cm, BC – 4.2 cm and AC = 6.5 cm. Measure the angles. Write relationship between sides and angles.

Solution:

Given values:

∠A = 88°, ∠C = 48°, ∠A = 44°

Relation : Angle opposite to greater side is more than the angle opposite lesser side.

Choose the correct answer :

Question 1.

If in the figure, \(\overline{\mathbf{X Y}}\) is the perpendicular bisector to AB then AX =

A) AY

B) BY

C) BX

D) XY

Answer:

C) BX

Question 2.

In the above figure, ΔAXB is

A) equilateral

B) isosceles

C) scalene

D) right triangle

Answer:

B) isosceles

Question 3.

In the above figure, ΔAXO ≅

A) ΔAYO

B) ΔBYO

C) ΔAXB

D) ΔBXO

Answer:

D) ΔBXO

Question 4.

In the figure, \(\overrightarrow{\mathrm{BF}}\) is the bisector of ∠ABC then

A) ∠ABF = ∠CBF

B) ∠ABF = ∠ABC

C) ∠ABF + ∠CBF = 90°

D) ∠ABF + ∠CBF = 180°

Answer:

A) ∠ABF = ∠CBF

Question 5.

From the figure, ΔABD ΔCBD by

A) S.S.S

B) A.S.A

C) S.A.S

D) R.H.S

Answer:

A) S.S.S

Question 6.

∠DAC =

A) ∠B + ∠A

B) ∠A + ∠C

C) ∠B + ∠C

D) ∠A + ∠B + ∠C

Answer:

C) ∠B + ∠C

Question 7.

Angles in same circle segment are

A) Complementary

B) Supplementary

C) Equal

D) Unequal

Answer:

C) Equal

Question 8.

Angle in the semi-circle is

A) right angle

B) 180°

C) acute angle

D) obtuse angle

Answer:

A) right angle

Question 9.

The process of drawing a geometrical figure by using a compass and straight

edge is called

A) geometrical proof

B) hypothesis

C) geometrical construction

D) none

Answer:

C) geometrical construction

Question 10.

If in ΔABC \(\overrightarrow{\mathrm{BX}}\) and \(\overrightarrow{\mathrm{CY}}\) are bisectors to the base angles then ∠BXC =

A) 90° + \(\frac{1}{2}\)∠A

B) 90° – \(\frac{1}{2}\)∠A

C) 180°- \(\frac{1}{2}\)∠A

D) None

Answer:

A) 90° + \(\frac{1}{2}\)∠A

Question 11.

No. of circles drawn from a given point is

A) 1

B) 2

C) 3

D) Infinite

Answer:

A) 1

Question 12.

The circumcentre‘O’shown in the figure is formed by the concurrence of

A) Perpendicular bisectors

B) Angular bisectors

C) Medians

D) Altitudes

Answer:

A) Perpendicular bisectors