Testing Congruence Through Transformations

The video tutorial demonstrates how to use transformations such as translations, rotations, and reflections to map a movable figure onto another figure named CORAL. The goal is to determine if the two figures are congruent by making one sit on top of the other. The process involves translating the figure to bring points in common, identifying reflections, and completing the transformation to confirm congruence.

What is the main objective of the task described in the video?

• To map the movable figure onto CORAL.

• To find the perimeter of the figure.

• To change the color of the figure.

• To measure the area of the figure.

Which transformations are used to determine if two figures are congruent?

• Dilating, translating, and shearing.

• Translating, rotating, and reflecting.

• Scaling, shearing, and rotating.

• Scaling, reflecting, and translating.

What is the first step taken to map the movable figure onto CORAL?

• Reflecting the figure.

• Rotating the figure.

• Translating the figure to get them close.

• Scaling the figure.

What is achieved by translating the figure?

• Getting one point in common.

• Changing the size of the figure.

• Rotating the figure.

• Reflecting the figure.

What does the narrator do after translating the figure?

• Scales the figure.

• Reflects the figure.

• Rotates the figure.

• Shears the figure.

What is the result of the translation followed by reflection?

• The figures are not congruent.

• The figures overlap partially.

• The figures sit on top of each other.

• The figures change shape.

What conclusion is reached at the end of the video?

• The figures are identical in size but not shape.

• The figures are congruent.

• The figures are similar but not congruent.

• The figures are not congruent.