
In given two similar

Answer to Problem 21HP
The original triangle is B because the said scale factor reduces its all the sides one-fourth to give the corresponding sides of triangle A, as sides of triangle A are given less than sides of triangle B.
Explanation of Solution
Given information:
Two similar triangles A and B are given so that the sides of A are less than the sides of B and scale factor applied is 0.25.
Concept used:
Scale factor is actually the ratio between two corresponding sides of two similar triangles that is here given as 0.25.
Calculation:
As scale factor is 0.25, so each side of original triangle will be multiplied by 0.25 to give the corresponding sides of dilated similar triangle and in this way, the sides of dilated triangle will be ONE-FOURTH of the original triangle and here as triangle A`s sides are less than triangle B`s sides, so clearly dilated triangle is triangle A.
Based on above concept, original triangle is B as its sides are greater than corresponding sides of triangle A.
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