Question

A triangle is shown on the graph below:

What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.

Answer 1

Answer:

See explanation

Step-by-step explanation:

A triangle ABC with vertices A(-5,5), B(-6,2) and C(-2,2) is rotated by 90° clockwise about the origin. This rotation has the rule

$(x,y)\rightarrow (y,-x)$

So,

• $A(-5,5)\rightarrow A'(5,5);$
• $B(-6,2)\rightarrow B'(2,6);$
• $C(-2,2)\rightarrow C'(2,2).$

This rotation changes the position of the triangle (see attached diagram), doesn't change lengths of the sides, doesn't change angles (because the rotation is the rigid transformation).

Answer 2

Answer:

45

Step-by-step explanation: