4. APQR is rotated 90° counterclockwise to form
AP'Q'R'
S
α
R
3
2
P
-
3
0
a
A
R
20
3
12
4
"3
S
Select True or False for each statement.
ZP' has a measure that is less than LP.
Side QP is the same length as side Q'P'.
Side PR is shorter then P'R'.
ZR' has the same measure as ZR.
AP'Q'R' is similar, but not congruent to
APQR.
True False
PLEASE HELPP

The transformation of rotation of a figure involves turning the figure around a fixed point, known as the center of rotation, by a certain angle in a specified direction.

We are told that triangle PQR is rotated 90° counterclockwise to form triangle P'Q'R'. From observation of the given diagram, the center of rotation is the origin.

When a figure is rotated about a fixed point, its corresponding side lengths and angles remain unchanged, resulting in a figure that is congruent to the original image. However, in similar figures, while corresponding angles have the same measure, corresponding sides are proportional rather than equal in length.

Therefore:

∠P ≅ ∠P'
∠Q ≅ ∠Q'
∠R ≅ ∠R'
Side QR ≅ Side Q'R'
Side QP ≅ Side Q'P'
Side RP ≅ Side R'P'