Question

Suppose the letter H is drawn on a coordinate axis and is rotated about a fixed point. Which statement is NOT true regarding the rotated letter?

A
Any parallel lines on the letter will remain parallel.

B
The letter will follow a circular arc about the center of rotation given a specific angle of rotation.

C
The rotated image may be larger than the original image.

D
Any perpendicular lines on the letter will remain perpendicular.



If ΔABC and ΔXYZ are congruent, which of the following statements below is not true?
A
Angle B and angle Y are congruent.

B
Angle CBA and angle ZXY are congruent.

C
AB and XY are congruent.

D
AC and XZ are congruent.

Answer 1

1. C. the rotated image may be larger
2. B. angle CBA and angle ZXY are congruent

Explanation:

You want to identify the statements that are not true regarding a rotated image and two congruent triangles.

Rigid transformation

Rotation is a rigid transformation. It does not affect size or shape of the rotated image. Angles and line lengths are preserved.

1. Letter H

The statement that the rotated image may be larger than the original is not true:

Not True: The rotated image may be larger than the original image, choice C.

2. ∆ABC

If ∆ABC is congruent to ∆XYZ, then corresponding angles are congruent:

• ∠A≅∠X
• ∠B≅∠Y
• ∠C≅∠Z

The designation "angle ZXY" is another name for angle X. It will not necessarily be congruent to angle CBA, which is another name for angle B.

Not True: Angle CBA and angle ZXY are congruent, choice B.

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