Corresponding Sides and Congruence

Congruent Figures
Figures that are the same size and same shape

Corresponding Sides and Angles (parts)

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

Congruent figures have the same size and same shape.
Two figures are congruent if we can use rotations, translations and reflections to get one shape on top of the other. 

Congruent Triangles: Corresponding Sides

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 ∠ E?

• ∠S

• ∠T

• ∠R

Multiple Choice

What angle corresponds to ∠D?

• ∠S

• ∠T

• ∠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