Question

triangle abc is rotated 90 degrees clockwise around the origin to create triangle abc
which of the following statements is true about the measurements of the two triangles?
triangle abc and abc will have equal angle measures and side lengths.
triangle abc and abc will have different angle measures and side lengths.
triangle abc and abc will have equal angle measures but different side lengths.
triangle abc and abc will have different angle measures, but equal side lengths.
select

Explanation:

Step1: Recall the properties of rotation

Rotation is a rigid transformation. Rigid transformations preserve the shape and size of a figure.

Step2: Analyze the effect on angles and side - lengths

Since rotation is a rigid transformation, the measure of angles and the lengths of sides of the pre - image (triangle \(ABC\)) and the image (triangle \(A'B'C'\)) are equal.

Answer:

Triangle \(ABC\) and \(A'B'C'\) will have equal angle measures and side lengths.