Online Test — Triangles
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
If Triangle ABC ≅ Triangle PQR by SSS congruence rule, then which of the following is true?
AB = PQ, BC = QR, AC = PR
AB = QR, BC = PR, AC = PQ
AB = PR, BC = PQ, AC = QR
Angle A = Angle Q
Explanation: SSS requires all three corresponding pairs of matching sides to be equal.
Question 2 of 10
medium
In Triangle ABC, if AB = AC and Angle B = 50°, what is the measure of Angle A?
50°
80°
100°
60°
Explanation: Angle C = Angle B = 50°. Sum is 180°, so Angle A = 180° - 100° = 80°.
Question 3 of 10
medium
Which of the following sets of side lengths can form a valid triangle?
2 cm, 3 cm, 5 cm
3 cm, 4 cm, 8 cm
5 cm, 6 cm, 10 cm
1 cm, 2 cm, 4 cm
Explanation: Only 5 + 6 > 10 satisfies the triangle inequality rule for all combinations.
Question 4 of 10
medium
In Triangle PQR, if Angle P = 60° and Angle Q = 40°, which side is the longest?
PQ
QR
PR
Cannot be determined
Explanation: Angle R = 180° - (60° + 40°) = 80°. The longest side is opposite to Angle R, which is PQ.
Question 5 of 10
medium
For two triangles to be congruent by the SAS rule, the equal angle must be:
Any angle
The smallest angle
Included between the equal sides
Opposite to the longest side
Explanation: The definition of SAS requires the angle to be trapped between the two sides.
Question 6 of 10
medium
In Triangle ABC, if AB = 7 cm, BC = 8 cm, and AC = 6 cm, which angle is the smallest?
Angle A
Angle B
Angle C
All angles are equal
Explanation: The smallest angle is opposite to the shortest side, which is AC (6 cm).
Question 7 of 10
medium
If the hypotenuse and a side of one right triangle are equal to the hypotenuse and a side of another right triangle, the triangles are congruent by:
SSS
SAS
ASA
RHS
Explanation: This matches the definition of the Right angle-Hypotenuse-Side (RHS) rule.
Question 8 of 10
medium
In an isosceles triangle ABC with AB = AC, if AD is a perpendicular line drawn from A to BC, then:
BD = CD
BD > CD
BD < CD
No relation exists
Explanation: Triangle ABD ≅ Triangle ACD by RHS, so BD = CD by CPCT.
Question 9 of 10
medium
What is the measure of each interior angle of an equilateral triangle?
45°
90°
60°
180°
Explanation: Since all three sides are equal, 180° divided by 3 gives exactly 60° per angle.
Question 10 of 10
medium
If two sides of a triangle measure 4 cm and 7 cm, the third side length must be:
Less than 3 cm
Greater than 11 cm
Between 3 cm and 11 cm
Exactly 3 cm
Explanation: Sum rule: side < 4+7=11. Difference rule: side > 7-4=3. So it must be between 3 and 11.