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Mathematics
UTME / JAMB 2025
Geometric Construction
Solution
Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?
A
135°
B
90°
C
145°
D
60°
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Geometric Construction
Solution
The locus of a point which is equidistant from two given fixed points is the
A
Angle bisector of the straight lines joining them.
B
Parallel line to the straight line joining them.
C
Perpendicular to the straight line joining them.
D
Perpendicular bisector of the straight line joining them.
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2025
Geometric Construction
Solution
a. Using a ruler and a pair of compasses only, construct triangle ABC with |AB| = 7.5cm, |BC| = 8.1cm, and < ABC = 105º
b. Locate a point D on \(\overline{BC}\) such that |BD| : |DC| is 3:2
c. Through D, construct a line L perpendicular to \(\overline{BC}\)
d. If the line L meets \(\overline{AC}\) at P, measure |BP|
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Geometric Construction
Solution
The locus of a point equidistant from two intersecting lines is
A
where the sum of the distances of two focal points is fixed
B
the collection of points that are equally distant from a fixed point and a line
C
the perpendicular bisector of the lines
D
pair of bisectors of the angles between the two lines
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2000
Geometric Construction
Solution
Using ruler and a pair of compasses only,
(a) construct \(\Delta PQR\) such that |PQ| = 7 cm, |PR| = 6 cm and < PQR = 60°.
(b) locate point M, the mid-point of PQ.
(c) Measure < RMQ.
medium Difficulty
Study Solution