Online Test — Quadrilaterals
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
If three angles of a quadrilateral are 90°, 90°, and 90°, what is the measure of the fourth angle?
30°
60°
90°
120°
Explanation: By the angle sum property: 360° - (90° + 90° + 90°) = 90°.
Question 2 of 10
medium
A quadrilateral whose opposite sides are parallel and all four sides are equal in length is called a:
Rectangle
Trapezium
Rhombus
Kite
Explanation: A rhombus is defined as a parallelogram with four equal sides.
Question 3 of 10
medium
In Triangle ABC, D and E are the mid-points of AB and AC. If line segment DE measures 7 cm, what is the length of side BC?
3.5 cm
7 cm
14 cm
21 cm
Explanation: By the Mid-Point Theorem, BC is double the length of DE, so 2 × 7 = 14 cm.
Question 4 of 10
medium
The interior angles of a quadrilateral are in the ratio 1:2:3:4. What is the measurement of the largest angle?
36°
72°
108°
144°
Explanation: 1x+2x+3x+4x=10x=360°, so x=36°. The largest angle is 4x = 4 × 36° = 144°.
Question 5 of 10
medium
Which statement about the diagonal behaviors of a geometric rectangle is completely true?
They are unequal
They cross at 90°
They are equal and bisect
They do not bisect
Explanation: Rectangles feature diagonals that are equal in length and slice each other in half.
Question 6 of 10
medium
If an adjacent pair of angles in a parallelogram are in the ratio 2:3, find the smaller angle.
36°
54°
72°
108°
Explanation: 2x + 3x = 180° implies 5x = 180°, so x = 36°. Smaller angle is 2 × 36° = 72°.
Question 7 of 10
medium
A quadrilateral with exactly one single pair of parallel opposite sides is categorized as a:
Square
Trapezium
Rhombus
Parallelogram
Explanation: A trapezium is defined by having exactly one pair of parallel sides.
Question 8 of 10
medium
The diagonals of a special quadrilateral cross each other at 90°, but they are not equal in length. This shape is a:
Rectangle
Parallelogram
Rhombus
Square
Explanation: A rhombus has perpendicular diagonals, but they are only equal if the shape is a square.
Question 9 of 10
medium
In Triangle ABC, a line starts at the mid-point of AB and runs parallel to BC. It will cross side AC at:
Any random point
One-third length
The exact mid-point
The vertex C
Explanation: This is a direct application of the Converse of the Mid-Point Theorem.
Question 10 of 10
medium
If we connect the mid-points of the four sides of a rectangle in sequential order, the inner shape formed is a:
Square
Rhombus
Rectangle
Trapezium
Explanation: Connecting rectangle mid-points creates four equal hypotenuses, forming a rhombus.