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?

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

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

Fill in the Blanks

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