Question

Please use four different pentominoes to build this shape and answer each question carefully that he asked about it

106] Geometric Similarity: Consider the F pentomino shown on right. Use four distinct pentominoes (from the remaining 11 pentominoes) to build a polygon that is similar to the given pentomino. Prove your answer. Recall that two polygons are proven similar via CSSPP (Corresponding Sides of Similar Polygons are Proportional) and CASPC (Corresponding Angles of Similar Polygons are congruent) principles. Clearly indicate how you are using these principles in your proof for credit.

Answer 1

we can use P, L, Z, and F pentomino to create :

$1592148549627_Capture.png$

which is double of the given figure:

as it can seen all the angles are same as given figure , i.e 90 degree each and the sides are twice in the formed figure:

the top side here is 4 units whereas in given figure it is two, the length here is 6 units whereas in given figure it is 3, thus corresponding sided are each 1:2 and therefore the given figures are similar.