Question

Polygon PQRS is a scaled copy of polygon ABCD. PLEASE HELP

А
D
P
S
B
Q
R
1. Name the angle in the scaled copy that corresponds to angle
ABC.
2. Name the segment in the scaled copy that corresponds to
segment AD.
3. What is the scale factor from polygon ABCD to polygon
PORS?

Answer 1

1. Angle PQR

2. Segment PS

3. 3/2 = 1.5

Explanation:

1. Angle PQR in the scaled copy is the angle in polygon PQRS that corresponds to angle ABC in polygon ABCD. They are both at the same position in the two different figures. They match each other.

2. Segment PS in the scaled copy is the segment in polygon PQRS that corresponds to segment AD in polygon ABCD. They match each other as they appear in similar spot.

3. The scale factor = the ratio of any of the corresponding segment length.

Let's consider segments lengths of AD in ABCD, which corresponds to segment PS in PQRS.

AD = 2 units

PQ = 3 units

Scale factor from ABCD to PQRS = PQ/AD = 3/2 = 1.5

The whole number tells us that ABCD is scaled up or enlarged to given a bigger polygon, PQRS.