Identifying Corresponding Parts

Corresponding Parts of Congruent Figures

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Learning Targets

I can identify corresponding parts from a congruence statement.

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.

Similar Figures

Figures that are the same shape, but different sizes. All of the corresponding angles are congruent.

Similar figures have a scale factor. In the image Triangle DEF is 2 times triangle ABC.

The symbol for Similar is ~

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

Multiple Choice

$$\Delta XYZ\cong\Delta TRS$$  

Which side corresponds to side ZX?

• TR

• ST

• SR

Writing Congruence Statements

Multiple Choice

What angle corresponds to Angle E?

• Angle S?

• Angle T?

• Angle R

Multiple Choice

What angle corresponds to Angle D?

• Angle S?

• Angle T?

• Angle R

Multiple Choice

What side corresponds to side EF?

• Side TR

• Side ST

• Side RS

Multiple Choice

What side corresponds to side DE?

• Side TR

• Side ST

• Side RS

Multiple Choice

Write the congruence statement. Triangle EFD is congruent to...

• Triangle TRS

• Triangle STR

• Triangle RST