46. Which of the following criteria is not suitable for ∆ABC to be similar to ∆QRP ?
Answers
Answer:
D not similar because the sides are not similiar with each other (∆ABC not similar to ∆PQR)
.For a triangle to be similar to another triangle
following criteria should match.
. 1) AA: Two pairs of corresponding angles are equal.
. 2) SSS: Three pairs of corresponding sides are proportional.
. 3) SAS: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
. So in the above question ∆ABC may not be similar to ∆QRP if two pairs of corresponding angles are not equal.
i.e, A = ∠Q and ∠C = ∠P then ΔABC is not similar to ΔXYZ.
or
. three sides of corresponding sides are not proportional i.e,
AB/QR is not qual to BC/RP and AC/QP
and ∠B not equal to ∠R and ∠C not equal to ∠P
then they are not similar triangles.
or
. if two pairs of corresponding sides are not proportional and the corresponding angles between them are not equal.
i.e., AB/QR is not equal to BC/RP and AC/QP then ΔABC is not similar to ΔXYZ.
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