Question

Select the correct answer from each drop-down menu.

(triangle) ABC is reflected across the x-axis, then rotated 90 degrees clockwise about the origin, and finally reflected across the line y=c to form (triangle) A'B'C'.

the coordinates of vertex A' are
(-1,1)
(1,1)
(-1,-1)
(1,-1)

the coordinates of vertex B' are
(-2,3)
(2,3)
(2,-3)
(-2,-3)

the coordinates of vertex C' are
(2,1)
(-2,-1)
(-2,1)
(2,-1)

Answer 1

the coordinates of vertex A = (1,1)
the coordinates of vertex B = (2,3)
the coordinates of vertex C = (2,1)

Answer 2

Answer with explanation:

Coordinates of vertices of A, B and C are =(1,1),(2,3), and ,(2,1).

→When Triangle ABC , is reflected across X- axis

Coordinates of Vertex A, B and C after reflection=(1,-1), (2,-3) and (2,-1).

→Now, the triangle ABC, is rotated by 90 degrees in clockwise Direction

When a point , (h,k) is rotated by 90 degree, the coordinates of image will be , (k, -h).

So, Coordinates of Vertex A, B and C after rotated by 90 degrees in clockwise Direction=A"(-1,-1), B"(-3,-2), C"(-1,-2).

→When , A"(-1,-1), B"(-2,-3), C"(-1,-2) is reflected across the line, y=c :

These Points lies in third Quadrant.So, after reflection through line, y=c,triangle will go in the second Quadrant.So, the coordinates of vertices of ΔABC will be

A'(-1,1)

B'(-2,3)

C'(-1,2)