Question

analyzing a transformation
which type of transformation is shown?
the transformation is a
how do the angle measures and side lengths
compare?
the angle measures of rectangle qrst are
orst
the side lengths of rectangle qrst are
the side lengths of rectangle qrst

Explanation:

To solve this problem, we analyze the transformation of rectangle \( QRST \) to \( Q'R'S'T' \):

Step 1: Identify the Transformation Type

A rotation (specifically a 90 - degree rotation, likely clockwise or counter - clockwise) is the transformation here. Rotations preserve the shape and size of the figure, so it is a rigid transformation (since angle measures and side lengths remain the same).

Step 2: Compare Angle Measures

In a rectangle, all angles are right angles (\( 90^\circ \)). Since rotation is a rigid transformation, the angle measures of rectangle \( QRST \) are equal to the angle measures of rectangle \( Q'R'S'T' \).

Step 3: Compare Side Lengths

Rigid transformations (like rotation) preserve side lengths. So, the side lengths of rectangle \( QRST \) are equal to the side lengths of rectangle \( Q'R'S'T' \).

Answer:

s:

• The type of transformation is a \(\boldsymbol{\text{rotation}}\) (and it is a \(\boldsymbol{\text{rigid}}\) transformation).
• The angle measures of rectangle \( QRST \) are \(\boldsymbol{\text{equal to}}\) the angle measures of rectangle \( Q'R'S'T' \).
• The side lengths of rectangle \( QRST \) are \(\boldsymbol{\text{equal to}}\) the side lengths of rectangle \( Q'R'S'T' \).