Congruency and Orientation Rigid

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.

Diego made the shape on the left, and Elena made the shape on the right. Each shape uses 5 circles. Select all the true statements.

• Elena’s design is a translation of Diego's design.

• Diego’s design is congruent to Elena’s design.

• The smallest circle in Diego's design is congruent to the smallest circle in Elena’s design.

Which of the following is a way to show that Polygon A is congruent to Polygon B.

• Just by looking at it.

• By using a rigid transformation.

• By counting up all the sides.

• They are not congruent.

Decide whether or not Shape A is congruent to Shape B.

• Yes, they are congruent.

• No, they are not congruent.

Decide whether or not Shape A is congruent to Shape B.

• Yes, they are congruent.

• No, they are not congruent

Which of the following is a great strategy for determining if shapes are congruent. Select all strategies that will work.

• Just look at it you can always tell right away.

• Measuring angles and sides to make sure they match.

• Using tracing paper and a sequence of rigid transformations

• By guessing.

Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF. Use the Drawing board to insert your answers

• AFB= 42, FBA= 157, FAB= 23

• FAB= 17, AFB= 165, FBA= 42

• FBA= 157, FAB= 42, AFB= 42

• AFB= 115, FAB= 23, FBA= 42

Identify at least two pairs of congruent angles in the figure and explain how you know they are congruent.

• ADC=ABC,

• DAC=DEB,

• ACB= CBE,

• D=C, E=B

If you have a parallelogram, how can you use what you know about angles in a triangle to find the angles in the parallelogram?

• Parallelograms have parallel lines so the angles are 180.

• The angles in a triangle have to equal 180 and there are two triangles in a parallelogram so that must equal 360.

• Triangles and parallelograms are the same.

• Apples and bananas are fruit.