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Chapter assessment
A. Choose the correct option.
1. In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?
2
2
(a) AB = BC + AC 2 (b) AC = AB + BC 2 (c) AB = BC + AC (d) AC = AB + BC
2
2
2. If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of
each interior opposite angle is
(a) 55° (b) 65° (c) 50° (d) 60°
3. In DABC, AB = AC = 17 cm and BC = 16 cm. If AD is one altitude of the triangle, then AD =
(a) 33 cm (b) 15 cm (c) 15.5 cm (d) 16 cm
4. By which of the following criterion two triangles cannot be proved congruent?
(a) AAA (b) SSS (c) SAS (d) ASA
5. If a, b and c are the three sides of a triangle, then
(a) a + b = c (b) a + b < c (c) a + b > c (d) a – b > c
6. Triangle is not possible if the measure of angles are
(a) 40°, 65°, 75° (b) 56°, 50°, 74° (c) 72°, 63°, 45° (d) 67°, 42°, 81°
B. Assertion and Reason Type Questions.

In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option as:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): Two sides of a triangle are of lengths 4 cm and 2.5 cm. The length of the third side of
triangle cannot be 1.4 cm.
Reason (R): The difference between the two sides of a triangles should be less than the third side.
2. Assertion (A): A triangle can have two obtuse angles.
Reason (R): Sum of the three angles in a triangle is always 180°
3. Assertion (A): ABC is an equilateral triangle, then each angle equals to 60°
Reason (R): Equilateral triangle has all its sides equal and each angle measures 60°.

4. Assertion (A): 1.5, 3.6, 3.9 are the measures (in cm) of the sides of a right-angled triangle.
Reason (R): In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares
on its legs.

C. Fill in the blanks.
1. Median is also called ........................... in an equilateral triangle.
D
2. In an isosceles triangle, angles opposite to equal sides are ....................... P

3. The ....................... triangle always has altitude outside itself.
30° 30°
4. In the adjoining figure, D ....................... ≅ DPQR. 40° 40°
Q R
5. Length of third side of a triangle whose two sides are 5 cm and 6 cm, must be less than ................

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