207k views
4 votes
What single transformation maps ∆ABC onto ∆A'B'C'?

What single transformation maps ∆ABC onto ∆A'B'C'?-example-1
User Bedrin
by
7.5k points

2 Answers

1 vote

Answer:

The triangle is rotated 90° counterclockwise about the origin.

Explanation:

User JimBamFeng
by
8.7k points
7 votes

Answer-

The triangle is rotated 90° counterclockwise about the origin.

Solution-

Coordinates of the vertices of the triangle ABC are,

A = (-3, 1)

B = (-1, 2)

C = (-2, 1)

Coordinates of the vertices of the triangle A'B'C' are,

A' = (-1, -3)

B' = (-2, -1)

C' = (-1, -2)

While rotating a point (x, y) 90° counterclockwise, it becomes (-y, x)

i.e (x, y) → (-y, x)

So, the triangle is rotated 90° counterclockwise about the origin.

User DeanOC
by
8.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories