Congruency Statements and Symmetry

​Congruency and Symmetry

​LET'S REVIEW

Multiple Choice

What does congruent mean?

• The same size and shape

• Different size and shape

• A type of kitchen appliance

Multiple Choice

What are similar figures?

• The same shape but a different size

• EVERYTHING IS THE SAME

• A breakfast food

Multiple Choice

Tell whether the two figures are congruent.

• Yes, same size and same shape
• No, same shape but different sizes
• No, different size and different shapes

Multiple Choice

Are the triangles similar?

• Yes
• No

​NEW INFORMATION

​CONGRUENCY STATEMENTS

• ​Congruent figures are THE SAME SIZE AND SHAPE

• Congruent figures have CORRESPONDING PARTS which are EQUAL

Multiple Choice

Given 

$$\Delta ABC\ \cong\Delta DEF\$$   $$\angle A\ \cong\ ?$$  

• $$\angle D$$  

• $$\angle E$$  

• $$\angle F$$  

• $$\angle C$$  

Multiple Choice

Given

$$\Delta JKL\cong\Delta XYZ$$  ,  $$\angle K\ \cong\ ?$$  

• $$\angle X$$  

• $$\angle Y$$  

• $$\angle Z$$  

• none of the above

Multiple Choice

Which is true?

• $$\overline{AB}\cong\overline{DF}$$

• $$\overline{AB}\cong\overline{EF}$$

• $$\overline{AB}\cong\overline{DE}$$

• $$\overline{AB}\cong\overline{FE}$$

Multiple Choice

Using the picture above, $$\angle F\cong?$$  

• $$\angle A$$  

• $$\angle B$$  

• $$\angle C$$  

• $$\angle D$$  

Multiple Choice

These two triangles are congruent. If ∠C is 40^o what is ∠E?

• 40^o
• 90^o
• 25

​NEW INFORMATION

• a line that divides a figure into 2 identical (congruent) parts

• must pass through the center ​

• ​think of as "folding"

• can have multiple lines of sym.

• lines can be vertical, horizontal, diagonal​

​

Lines of Symmetry

Multiple Choice

Symmetrical?

• Is symmetrical

• not symmetrical

Multiple Choice

Symmetrical?

• Is symmetrical

• not symmetrical

Multiple Choice

• Symmetrical

• not symmetrical

Multiple Choice

Symmetrical?

• symmetrical

• not symmetrical

Independent Work:

• Congruence Statements and Corresponding Parts

• Rotational Symmerty

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​Some text here about the topic of discussion.

Independent Work