Answer:
• True
,
• False
,
• True
,
• False
Explanation:
To answer these questions, we briefly recall the concept of a rigid transformation.
A rigid transformation preserves the size and shape of the transformed image. Examples of rigid transformations are rotation and reflection.
This, if triangle 1 is rotated and then reflected:
Statement 1
The angle measures of triangle 2 are equal to the angle measures of triangle 1.
Since reflection and rotation preserve angles, this statement is TRUE.
Statement 2
The angle measures of triangle 2 are less than the angle measures of triangle 1
Since reflection and rotation preserve angles, this statement is False.
Statement 3
The perimeter of triangle 2 is equal to the perimeter of triangle 1.
Since reflection and rotation preserve lengths, this statement is TRUE.
Statement 4
The perimeter of triangle 2 is less than the perimeter of triangle 1.
Since reflection and rotation preserve lengths, this statement is FALSE.