Triangle ABC is rotated 100° counterclockwise about point P to create ΔA′B′C′. What is m∠C′A′B′

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

Answer:

Angle CAB

Step-by-step explanation:

Given that a triangle ABC is rotated 100 degrees counterclockwise about a point P. New triangle formed is Triangle A'B'C'.

A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. The fixed point in which the rotation takes place is called the center of rotation.

Here fixed point is P and angle is 100 degrees

The property of rotation is rotation is a transformation of transforming a geometric figure to a similar figure.

In other words, by rotation here ABC will be similar to A'B'C'

Hence angles of ABC will remain equal to angles of A'B'C' in that order.

So m/_ C'A'B'=m /_CAB

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