Question

Polygon is a scaled copy of polygon . Segment lengths are given in units. A, B is vertical 1 down. B, C is a diagonal down 1, right 1. C, D is a diagonal right 1, up 2. D, C is horizontal left 2. P, Q is vertical 1.5 down. Q, R is a diagonal down 1.5, right 1.5. R, S is a diagonal right 1.5, up 3. S, P is horizontal left 3. The scale factor from polygon ABCD to polygon PQRS is:

A) 0.5
B) 1
C) 1.25
D) 1.5
E) 2

Answer 1

The scale factor from polygon ABCD to polygon PQRS is determined by comparing the lengths of corresponding sides, which gives a ratio of 1.5 to 1. Thus, the scale factor is 1.5.

Step-by-step explanation:

To determine the scale factor from polygon ABCD to polygon PQRS, we compare the lengths of corresponding sides:

• Segment AB (Vertical): 1 unit
• Segment PQ (Vertical): 1.5 units

Using the ratio of the lengths of corresponding sides, the scale factor can be found as follows:

scale/actual = PQ/AB => 1.5/1 => 1.5

This means the scale factor is 1.5, which corresponds with option D).

Therefore, the scale factor from polygon ABCD to polygon PQRS is 1.5.