Plane figures/shapes - JSS2 Mathematics Past Questions and Answers - page 1
Which of the following shapes has opposite sides that are parallel and equal in length?
Parallelogram
Kite
Rhombus
Both a) and c)
In which shape are all sides of equal length?
Rectangle
In parallelogram ABCD, the length of AB is 8 cm and the length of AD is 5 cm. If the measure of ∠A is 70°, find the measure of ∠B, ∠C, and ∠D.
∠A = 70°
Since opposite angles are equal: ∠C = 70°
Consecutive angles are supplementary: ∠B + ∠A = 180°
Therefore, ∠B = 180° - 70° = 110°
∠D = ∠B = 110°
In rhombus EFGH, the diagonals EG and FH intersect at point O, forming right angles. If the length of EG is 10 cm and the length of FH is 24 cm, find the lengths of EO, OG, FO, and OH.
Since the diagonals bisect each other: EO = OG and FO = OH
EO = OG = 10 cm / 2 = 5 cm
FO = OH = 24 cm / 2 = 12 cm
In kite IJKL, IJ = IK = 9 cm and JL = KL = 7 cm. If the diagonals IL and JK intersect at right angles, and IL bisects JK, find the lengths of IL and JK if IL = 15 cm.
Since IL bisects JK and they intersect at right angles:
Let O be the point where the diagonals intersect. Therefore, IO = 15 cm / 2 = 7.5 cm.
If IL is 15 cm, then JK is also bisected, making JO = OK.
Without the exact lengths of JK, we cannot determine the length of JK exactly, but we know that JO and OK are equal parts of JK.
In parallelogram ABCD, if ∠A = 70°, what is the measure of ∠D?
70°
110°
90°
180°
In rhombus EFGH, if the diagonals EG and FH are 10 cm and 24 cm respectively, what is the length of EO?
5 cm
12 cm
10 cm
7 cm
In rhombus EFGH, if the diagonals EG and FH are 10 cm and 24 cm respectively, what is the length of OH?
10 cm
6 cm
12 cm
8 cm
In kite IJKL, if IJ = IK = 9 cm and JL = KL = 7 cm, and the diagonals intersect at right angles, what is the
7.5 cm
10 cm
15 cm
5 cm
In parallelogram ABCD, if ∠A = 70°, what is the measure of ∠C?
90°
110°
70°
180°