Question

Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
Select ALL statements that MUST be true.
-Angle ABC is 60 degrees.
-Angle AQA' is 60 degrees.
-Points C and C' coincide.
-Triangles ABC and A'B'C' are congruent.
-Angle ABC is congruent to angle A'B'C'
-Segment BC is congruent to segment B'C'
-Segment BQ is congruent to segment C'Q.
-Segment AQ is congruent to segment A'Q.

Answer 1

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Answer:

  see below

Step-by-step explanation:

When a figure is rotated about a center point, the central angle formed by any point on the figure and the corresponding image point will be the rotation angle. Every image point is the same distance from the center of rotation that the pre-image point was. No lengths or angles are changed: rotation is a "rigid motion", so the rotated figure is congruent with the original.

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-Angle AQA' is 60 degrees.

-Triangles ABC and A'B'C' are congruent.

-Angle ABC is congruent to angle A'B'C'. (this is one of the angles of the congruent triangles)

-Segment BC is congruent to segment B'C'

-Segment AQ is congruent to segment A'Q.