Rigid Transformations and Congruence Review

Two rectangles have the same area. Are they congruent?

• Yes

• No

• Maybe So

Two rectangles are congruent. One has a perimeter of 36 inches, the other has an area of 80 square inches. What is the length and width of both rectangles?

• 4 in x 20 in

• 8 in x 10 in

• 16 in x 5 in

• 9 in x 9 in

Two shapes that have the same side lengths and angles are...

• twins

• congruent

• supplimentary

• adjacent

Two rhombuses with the same side lengths are always congruent

• True

• False

Match the following terms with their definitions.

• Sliding a shape without rotating or flipping it

• Translation

• Flipping a shape over a line

• Reflection

• Turning a shape around a point

• Taxation

• Government levy on income or goods

• Rotation

To rotate a shape you need to know...(select all that apply)

• which direction

• how many degrees

• the point of rotation

• how much it costs

An arrow pointing straight up is rotated until it is pointed directly to the right. How did it rotate?

• 90 degrees

• 90 degrees clockwise

• 90 degrees counterclockwise

• 90 degrees to the right

How many degrees is a triangle made up of?

Select all the true statements.

• Two rhombuses with the same side lengths are always congruent.

• Two rectangles with the same side lengths are always congruent.

• Two parallelograms with the same side lengths are always congruent.

• Two squares with the same side lengths are always congruent.

Which of these sequences of transformations would not return a shape to its original position? Select your answer.

• Reflect over line p, then reflect over line p again.

• Rotate 120 counterclockwise around center C, then rotate 220 counterclockwise around C again.

• Translate 3 units up, then 3 units down.

• Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.