Corresponding Parts of Congruent Figures

Corresponding Parts of Congruent Figures

​Big Idea C

Learning Targets

I can identify corresponding parts from a congruence statement or a drawing.

I can write a congruence statement.

Corresponding Sides and Angles (parts)

Corresponding parts are in the same or 'matching' positions in similar and congruent figures.

Congruent Figures

Congruent Figures

Multiple Choice

What are Corresponding Parts

• The same triangle.

• When two figures are congruent.

• Sides or angles that are in the same or matching position.

• Another word for perimeter.

Multiple Choice

$$\Delta XYZ\cong\Delta TRS$$  

Which side corresponds to side XY?

• TR

• RS

• ST

Multiple Choice

$$\Delta XYZ\cong\Delta TRS$$  

Which side corresponds to side YZ?

• TR

• RS

• ST

• SR

Open Ended

Which of these congruence statements best describes the triangles and why is it better?

Statement 1: $$\Delta ABC\cong\Delta FED$$

Statement 2: $$\Delta CAB\cong\Delta FDE$$

Sentence starter: Statement ___ best describes the triangles because ___.

Writing Congruence Statements

Multiple Choice

What angle corresponds to Angle E?

• Angle S

• Angle R

• Angle T

• Angle F

Multiple Choice

What side corresponds to side EF?

• Side TR

• Side ST

• Side RS

Multiple Choice

Complete the congruence statement. $$\Delta EFD\cong\ldots$$

• $$\Delta TRS$$

• $$\Delta STR$$

• $$\Delta RST$$

What if it doesn't say?

Usually, you have to decide which parts are corresponding just by looking at the shape.

Open Ended

How do we find corresponding parts if the figure doesn't tell us which parts are congruent?

Sentence Starter: We find corresponding parts by ...

Open Ended

How do we find corresponding parts if the figures aren't congruent?

Sentence Starter: If the figures aren't congruent, then ...

Hotspot

Which side corresponds to side $$\overline{AB}$$ ?

Hotspot

Which side corresponds to side $$\overline{BC}$$ ?

Next Time

• Today we learned about corresponding parts and how we use the congruence of corresponding parts to prove two figures are congruent.

• Tomorrow we will talk about how proving two figures are congruent by using a series of transformations to make the figures coincide.