Question

when proving congruence by reflection, what must be true about the figures?
a. they are shifted left or right
b. they are mirror images across a line.
c. they are rotated around a point.
d. they are scaled up or down.
how does a translation affect a geometric figure?
a. changes its position
b. changes its shape
c. changes its color
d. changes its size
to rotate a figure 90 degrees counterclockwise, around which point is it usually done?
a. the top vertex
b. no fixed point
c. the figure’s center
d. any external point
if a figure is flipped over a line, it has undergone which transformation?
a. translation
b. scaling
c. rotation
d. reflection

Explanation:

First Question:

Reflection in geometry means creating a mirror image across a line. Option a is translation, c is rotation, d is dilation. So b is correct.

Translation is a rigid transformation that moves a figure without changing its shape, size, or color—only its position. So a is correct.

Rotating a figure 90° counterclockwise is typically done around the figure’s center for symmetry and standard rotation. Other options (top vertex, no fixed point, external point) don’t fit standard rotation practices.

Answer:

b. They are mirror images across a line.

Second Question: