Transformations and Reflections in Geometry

The video tutorial reviews a module assessment for grade eight, focusing on transformations such as reflections and translations. It covers how to determine congruency through transformations, sequences of transformations, and graphing points with reflections over axes. The tutorial also discusses mapping triangles using reflections and rigid motions, and concludes with sequential transformations and labeling points.

What are the new coordinates of the point (3, -1) after reflecting over the y-axis and translating by 5 units up?

• (-3, -6)

• (3, 4)

• (-3, 4)

• (3, -6)

Which statement is true about two figures after a series of translations?

• They will be neither congruent nor similar.

• They will be identical in size but not in shape.

• They will be similar but not congruent.

• They will be congruent.

What transformation sequence can map a figure onto another using a reflection over the x-axis followed by a translation?

• Translation up, then reflection over the x-axis

• Reflection over the y-axis, then translation left

• Reflection over the x-axis, then translation right

• Translation down, then reflection over the y-axis

Can figure one be mapped onto figure two using only a translation?

• Yes, by translating left

• Yes, by translating up

• Yes, by translating down

• No, translation alone is insufficient

What is required to map figure one onto figure two using reflections?

• One reflection over the y-axis

• Two reflections over different lines

• No reflections are needed

• One reflection over the x-axis

What is the first step in graphing and reflecting points over the y-axis?

• Label the original points

• Translate the points up

• Draw the x-axis

• Reflect the points over the x-axis

How can one triangle be mapped onto another using two reflections?

• Reflection over the y-axis, then the x-axis

• Reflection over the x-axis, then the y-axis

• Reflection over the line y = -x, then the y-axis

• Reflection over the line y = x, then the x-axis

What is a single rigid motion that can map one triangle onto another?

• Dilation

• Rotation 180 degrees about the origin

• Translation

• Reflection over the y-axis

What is the final step in drawing sequential images of a triangle after transformations?

• Reflect over the line x = 2

• Translate three units down

• Translate three units up

• Reflect over the y-axis

What are the coordinates of J double prime after the transformations?

• (5, 0)

• (10, -4)

• (7, 2)

• (10, 2)