Practice Questions for Geometry - Basics

1. CRE 1 - Lines & Angles | Geometry - Basics

What is the measure of the complementary angle, if the measure of an angle is 57°?

(a)
55°
(b)
33°
(c)
45°
(d)
37°

2. CRE 1 - Lines & Angles | Geometry - Basics

What is the measure of the supplementary angle, if the measure of an angle is 57°?

(a)
43°
(b)
133°
(c)
12°
(d)
123°

3. CRE 1 - Lines & Angles | Geometry - Basics

A line which cuts two or more parallel lines is known as a

(a)
Perpendicular
(b)
Line bisector
(c)
Transversal
(d)
Perpendicular bisector

4. CRE 1 - Lines & Angles | Geometry - Basics

Which of the following is a reflex angle?

(a)
30°
(b)
120°
(c)
180°
(d)
230°

5. CRE 1 - Lines & Angles | Geometry - Basics

Two lines intersect each other and make four angles. Of these, any two adjacent angles are

(a)
Equal
(b)
Complementary
(c)
Supplementary
(d)
None of these

6. CRE 1 - Lines & Angles | Geometry - Basics

It is given that, m ∠A + m ∠B + m ∠C = 210° and m ∠B is thrice that of m∠C. If ∠B and ∠C are supplementary, the measures of ∠A, ∠B and ∠C respectively are

(a)
30°, 135°, 45°
(b)
30°, 120°, 60°
(c)
45°, 110°, 55°
(d)
30°, 108°, 36°

7. CRE 1 - Lines & Angles | Geometry - Basics

Measure of the supplementary angle of ∠A is 100° more than that of the complementary angle. What is the type of ∠A?

(a)
Acute angle
(b)
Reflex angle
(c)
Obtuse angle
(d)
Not possible

8. CRE 1 - Lines & Angles | Geometry - Basics

Which of the following is definitely true for two lines in a plane?

(a)
If two lines are not parallel, they will intersect each other at some point
(b)
Two lines perpendicular to a given line, are parallel to each other
(c)
All of the above are true
(d)
None of these

9. CRE 1 - Lines & Angles | Geometry - Basics

m∠P is 30° more than the measure of its supplementary angle. Which of the following is the measure of ∠P?

(a)
85°
(b)
105°
(c)
125°
(d)
None of these

10. CRE 1 - Lines & Angles | Geometry - Basics

In the given figure, the lines L₁ and L₂ are parallel to each other and the line segments PQ and PR are perpendicular to each other. Moreover, m ∠PQR = 55° and lines ST, PQ, and PR intersect at point P. Find m ∠TPR.

(a)
50°
(b)
45°
(c)
35°
(d)
55°

11. CRE 1 - Lines & Angles | Geometry - Basics

A line L₁ cuts three parallel line segments AB, CD, and EF at points P, Q, and R respectively and another line L₂ cuts them (AB, CD, and EF) at points S, T, and U respectively. If 3 × PQ = 2 × QR and the length of the segment ST is 4 cm, then what is the length of the segment TU?

(a)
6 cm
(b)
2 cm
(c)
4 cm
(d)
8 cm

12. CRE 1 - Lines & Angles | Geometry - Basics

As shown in the figure, line AC and line FG are parallel to each other and m ∠ABF = 55°. If ray BD and segment EF are parallel and m ∠DBF = 30°, then find m ∠EFG.

(a)
25°
(b)
35°
(c)
45°
(d)
40°

13. CRE 1 - Lines & Angles | Geometry - Basics

In the given figure, lines l and m are parallel to each other. Transversals AI and BK are also parallel to each other. If m ∠HJI = 50° and m ∠JHI = 45°, then find m ∠CBD.

(a)
105°
(b)
125°
(c)
85°
(d)
120°

14. CRE 1 - Lines & Angles | Geometry - Basics

In the figure, DE and AE bisect ∠ADC and ∠DAB respectively. AB is parallel to CD. Find m ∠AED.

(a)
60°
(b)
75°
(c)
80°
(d)
90°
(e)
100°

15. CRE 1 - Lines & Angles | Geometry - Basics

The lines AB, CD, EF and GH are parallel. It is known that AE : CG = 3 : 5 and AC : AG = 1 : 4. If the length of BD is 10 cm, what is the length (in cm) of FH?

(a)
15
(b)
18
(c)
22
(d)
12

16. CRE 1 - Lines & Angles | Geometry - Basics

In the given figure, m ∠AEJ = 55°, m ∠BIC = 130°. Also, AE || BF, CG || DH and AD || JH. BI and CI are the angle bisectors of the ∠CBF and ∠BCG respectively. What is the measure of ∠DHG?