Page 52 - Mathematics Class - X
P. 52
Case 2
In ∆ABC and ∆PQR,
AB BC AC
PQ = _________; QR = ________; PR = _________
∠A = _________, ∠B = _________,
∠C = _________, ∠P = _________,
∠Q = _________, ∠R = _________.
Case 3
In ∆ABC and ∆PQR,
AB AC
PQ = _________; PR = __________
∠A = __________, ∠P = __________,
∠B = __________, ∠Q = __________,
∠C = __________, ∠R = __________.
INFERENCE
1. If corresponding angles of two triangles are equal then their sides are proportional.
2. If corresponding sides of two triangles are proportional, then their corresponding angles are equal.
EXTENDED TASK
1. Establish the criteria for similarity of two triangles, when two corresponding angles of two triangles
are given.
2. Establish the criteria for similarity of two triangles, when two corresponding sides and the angle including
these sides are given.
APPLICATION
The concept of similarity is used to enlarge and reduce the images or pictures of objects.
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