Question

The graph below shows the transformation from triangle 1 to triangle 2.

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Which sequence of steps would transform triangle 1 to triangle 2?
reflect across the y-axis; rotate 180° counterclockwise about the origin
reflect across the x-axis; rotate 270° counterclockwise about the origin
reflect across the y-axis; rotate 90° counterclockwise about the origin
rotate 90° counterclockwise about the origin; rotate 270° counterclockwise about the origin

Answer 1

reflect across the y-axis; rotate 180° counterclockwise about the origin - first choice

Answer 2

Option A.

Explanation:

The graph below shows the transformation from triangle 1 to triangle 2 as below.

1). To understand the transformation we will take a point A. Present coordinates of point A are (1, -1).

When point A is reflected across y - axis, coordinates of A' become (1, 1).

2). Now we see that triangle 2 is in 3rd quadrant having coordinates A"(-1, -1)

which reveals that A'(1, 1) has been rotated by 180° counterclockwise.

Therefore, option A. is the correct choice.