# AP 9th Class Maths Important Questions Chapter 13 Geometrical Constructions

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.

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
C) BX

Question 2.
In the above figure, ΔAXB is
A) equilateral
B) isosceles
C) scalene
D) right triangle
B) isosceles Question 3.
In the above figure, ΔAXO ≅
A) ΔAYO
B) ΔBYO
C) ΔAXB
D) ΔBXO
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°
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
A) S.S.S

Question 6.
∠DAC = A) ∠B + ∠A
B) ∠A + ∠C
C) ∠B + ∠C
D) ∠A + ∠B + ∠C
C) ∠B + ∠C

Question 7.
Angles in same circle segment are
A) Complementary
B) Supplementary
C) Equal
D) Unequal
C) Equal

Question 8.
Angle in the semi-circle is
A) right angle
B) 180°
C) acute angle
D) obtuse angle
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
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
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 