Which transformation changes triangle ABC to triangle A'B'C'? (1 point)
6
5
432
2.
1
X
1 2 3 4
5 6
-6 -5 -4 -3 -2 -1 0
- 1
-2
8
B
c
4
a
Rotation 90 degrees counterclockwise about the origin
Reflection about the y-axis followed by translation up by 8 units
ob
Ос
Reflection about the x-axis followed by translation left by 4 units
Od
Rotation 180 degrees counterclockwise direction about the origin

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jimthompson5910 jimthompson5910 · Answer 1 · 2022-02-22T09:03:57+01:00

Rotation 90 degrees counterclockwise about the origin.

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Explanation:

Plot a point at the origin. Let's call it point D.

Form segments AD and A'D.

Use the slope formula to note that those segments have negative reciprocal slopes, which leads to the segments being perpendicular.

This proves we have a 90 degree rotation. The direction is counterclockwise when going from A to A'.

The same idea applies when going from B to B', and also C to C'.