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cbse handbook questions
Tick ( ) the correct option.
1. If dots of the same colour are connected to 3. Is the given triangle isosceles, scalene, or
form triangles, which triangle is not formed by equilateral?
any coloured dots? Information 1: The given triangle is similar to a
right-angled triangle
2 cm Information 2: The given triangle is not a
scalene triangle
2 cm To answer the given question, which of the
4 cm given information is/are sufficient?
(a) Only 1 (b) Only 2
4 cm (c) Both 1 and 2 together
(a) Right-angled triangle
(d) Question cannot be answered even
if both pieces of information are
(b) Obtuse angled triangle
used
(c) Equilateral triangle 4. Each option contains exactly two types of
triangles from the following: a right-angled
(d) Isosceles triangle triangle, an equilateral triangle, and a scalene
triangle. Which option contains both a right-
2. Two triangles, triangle X and triangle Y, are angled triangle and an equilateral triangle?
given. Only partial information about their
corresponding sides and angles is provided Note: Consider only those triangles whose all
below. three sides are clearly visible
Question: Are triangles X and Y similar?
Information 1: Two pairs of corresponding sides (a) (b)
of triangle X and triangle Y are proportional,
but no information is given about the third (c) (d)
pair of corresponding sides.
Information 2: Two pairs of corresponding 5. An equilateral triangle is given. Inside it, two
angles of triangle X and triangle Y are equal, straight lines are drawn in any direction. If the
but no information is given about the third triangle is cut along these two lines, what is the
pair of corresponding angles. maximum number of right-angled triangles
To answer the given question, which of the that can be formed?
given information is/are sufficient? Note: You cannot form a triangle by joining
two or more pieces.
(a) Only 1
(b) Only 2
(c) Both 1 and 2 together
(a) 2 (b) 3
(d) Question cannot be answered even
if both information are used (c) 4 (d) 5
Answers
1. (c) 2. (b) 3. (c) 4. (c) 5. (b)
A Tale of Three Intersecting Lines 35
