Revision lessons on GEOMETRY for students preparing for WASSCE, NECO and JAMB exams.

1. Worked
Examples
Multiple
Choice
Practice
Questions
Lesson
Notes EXIT

2. Use a ruler and a pair of compasses only for the
following constructions;
a) Construct triangle ABC in which |AB|=10cm,
|BC|=6cm and angle ABC = 45°.
b) Locate point D inside the triangle ABC such that D
is equidistant from AB and AC, and 5cm from B.
c) Construct a straight line through D to cut AB at X
and AC at Y such that |AX|=|AY|
d) Measure |AY|.
𝑊𝐴𝑆𝑆𝐶𝐸, 1993.
More

3. Using a ruler and a pair of compasses
only,
a) Construct ∆𝑃𝑅𝑄 such that
|PQ|=9cm,
< 𝑃𝑄𝑅 = 75°and < 𝑄𝑃𝑅 = 60°.
b) Locate a point T, inside ∆𝑃𝑅𝑄 such
that it is equidistant from 𝑅𝑄, 𝑅𝑃, and
𝑃𝑄
c) Construct the circle which touches the
three sides of ∆𝑃𝑅𝑄 and measure its
radius
𝑊𝐴𝑆𝑆𝐶𝐸, 1994.Show
diagram

4. Which of the following angles can be constructed using
a rule and compass only?
A .135 𝑂
B .145°
C . 125°
D .115°
E. 55°
EXIT
MCQ

5. Consider the diagram. What is the measure of < 𝐴𝐶𝐵?
B .90°
A 15°
C 45°
D .60°
E .30°
EXIT
MCQ
B

6. Consider the diagram. What is the measure of < D𝐴𝐶?
D .60°
A 15°
C 45°
B .90°
E .30°
EXIT
MCQ
B

7. Which of the following is true considering the diagram?
D < 𝐵𝐴𝐶 = 30°
A .|AC| is the locus of points equidistant from B
and D
C < 𝐴𝐵𝐶 = 120°
B. |AC| is the locus of points equidistant from |AD|
and |AB|
E. |AC| is the locus of points equidistant
from A
EXIT
MCQ
B

8. Describe circle UWVX in the diagram?
B. The locus of points equidistant from Q
A The locus of points equidistant from P and R
C The locus of points equidistant from T and R
B The locus of points equidistant from PT and PR
D. The locus of points equidistant from P
EXIT
MCQ

9. Which of the following is true about < 𝐸𝐴𝐶 in the
diagram?
E < 𝐸𝐴𝐶 = 150° and it is an obtuse angle
A < 𝐸𝐴𝐶 = 145° and it is an obtuse angle
C < 𝐸𝐴𝐶 = 130° and it is an obtuse angle
< 𝐴𝐵𝐶 = 120°
B < 𝐸𝐴𝐶 = 150° because it is the complement of
< 𝐵𝐴𝐶
D. < 𝐸𝐴𝐶 = 150° and it is a reflex angle
EXIT
MCQ
B

10. Which of the following point is not equidistant from Q?
B. S
A. U
C. X
E. V
D. W
EXIT
MCQ

11. Which of the following is true about line PS in the
diagram?
E. The locus of points equidistant from PT and PR
A The locus of points equidistant from P and R
C The locus of points equidistant from T and R
B The locus of points equidistant from Q
D. The locus of points equidistant from P
EXIT
MCQ

12. Which of the following is true about line UV?
B. The locus of points equidistant from P and R
A The locus of points equidistant from Q
C The locus of points equidistant from T and R
B The locus of points equidistant from PT and PR
D. The locus of points equidistant from P
EXIT
MCQ

13. What is the measure of < 𝑅𝑄𝑉?
B. 90°
A. 180°
C. 190°
E. V
D. 90°
EXIT
MCQ

14. Which of the following angles cannot be constructed
using a rule and compass only?
A .65 𝑂
B .135°
C . 75°
D .15°
E. 50°
EXIT
MCQ

15. In mathematics, locus simply means a set
of points or lines that satisfy a certain
requirement.
EXIT
MCQ

16. The locus of points equidistant from two given
points is the perpendicular bisector of the line
segments joining the two points
EXIT
MCQ

17. The locus of points equidistant from two
intersecting lines is the bisector of the angle
between the two lines
EXIT
MCQ

18. The locus of points equidistant from two
intersecting lines is the bisector of the angle
between the two lines
EXIT
MCQ