Congruence versus similarity!

Congruence versus similarity!

by Michael Mezzano

Open Ended

Which of the figures are congruent (if any)?

Multiple Choice

Which symbol represents congruency?

• $$\cong$$  

• =

• ~

• !

Multiple Select

Congruent polygons have the same # of ___ and ___

• sides

• angles

• french fries

• apple pies

Multiple Choice

Corresponding sides and angles of congruent polygons are ___

• similar

• congruent

• different

• negative reciprocals

Open Ended

Why do rigid transformations preserve congruence?

Open Ended

Which TWO transformations (or composition of transformations) would show that ABCD $$\cong$$  A'B'C'D'?

Poll

What makes these shapes similar instead of congruent?

• Because their sides are proportional.

• Because one is made by dilating the other.

• Because they would not map onto one another using only rigid motions.

Multiple Choice

Which symbol represents similarity?

• $$\cong$$  

• =

• ~

• !

Multiple Select

Similar polygons have the same # of ___ and ___

• sides

• angles

• pizza slices

• carrot sticks

Multiple Choice

Corresponding interior ANGLES of similar polygons are ___

• Similar

• Congruent

Multiple Choice

Corresponding SIDES of similar polygons are

• Proportional (Similar)

• Congruent

Open Ended

Why do non-rigid transformations result in similarity, instead of congruence?

Multiple Select

Select the TWO transformations that must be composed to show ABCD~A'B'C'D.

• Dilation

• Translation

• Reflection

• Rotation

Multiple Choice

If each SIDE is now 3 times longer, then the AREA is how many times larger?

• 3 times

• 6 times

• 9 times

• 27 times

Open Ended

What are the differences between congruence and similarity?

Poll

What is your favorite Thanksgiving food?

• Turkey

• Pie

• Mashed potatoes

• Green bean casserole

• Something else!

Multiple Choice

When is the date of our PMA for Q2?

• 11/29

• 12/3

• 12/7