Reflect ABC over the y-axis.

A(-1,2)
B(2,1)
C(4,5)
Xmin:
-10

Xmax:
10

Ymin:
-10

Ymax:
10

To reflect the points A(-1,2), B(2,1), and C(4,5) over the y-axis, we need to change the sign of their x-coordinates.

The reflected points will be:
A' (1,2)
B' (-2,1)
C' (-4,5)

The new values for Xmin, Xmax, Ymin, and Ymax remain the same:
Xmin: -10
Xmax: 10
Ymin: -10
Ymax: 10

find A' and B' if A (−4, 7) and B (−8, 2) is reflected over the x-axis.

A'=
B'=

To reflect a point over the x-axis, we need to change the sign of its y-coordinate.

For point A(-4, 7), the reflection A' will have the coordinates A'(-4, -7).

For point B(-8, 2), the reflection B' will have the coordinates B'(-8, -2).

Therefore, A'(-4, -7) and B'(-8, -2).

Find the dilation of 1/2 for the given shape centered at the origin

A(2,2)
B(8,0)
C(4,-6)
Xmin:
-10

Xmax:
10

Ymin:
-10

Ymax:
10

To find the dilation of 1/2 for the given shape centered at the origin, we need to multiply each coordinate of the shape by 1/2.

The dilated points will be:

A' (2*1/2, 2*1/2) = (1, 1)

B' (8*1/2, 0*1/2) = (4, 0)

C' (4*1/2, -6*1/2) = (2, -3)

The new values for Xmin, Xmax, Ymin, and Ymax remain the same:

Xmin: -10
Xmax: 10
Ymin: -10
Ymax: 10