4.2 – Apply Congruence and Triangles

What makes a geometric figure congruent?

4.2 – Apply Congruence and Triangles

In two congruent figures, all the parts of one figure are congruent to the corresponding

parts of the other figure.

4.2 – Apply Congruence and Triangles

Congruence Statements

When you write a congruence statement for two polygons, always list the corresponding

vertices in the same order.

4.2 – Apply Congruence and Triangles

Example 1:

Write a congruence statement for the triangles. Identify all pairs of congruent

corresponding parts.

4.2 – Apply Congruence and Triangles

Example 2:

Write a congruence statement for the triangles. Identify all pairs of congruent

corresponding parts.

4.2 – Apply Congruence and Triangles

Example 3:

In the diagram,

a. Find the value of x.

b. Find the value of y.

4.2 – Apply Congruence and Triangles

Example 4:

If you divide the wall into orange and blue sections along segment JK, will the

sections of the wall be the same size and shape? Explain.

4.2 – Apply Congruence and Triangles

4.2 – Apply Congruence and Triangles

Example 5:

Find m<BDC.

4.2 – Apply Congruence and Triangles

4.2 – Apply Congruence and Triangles

4.2 – Apply Congruence and Triangles

4.2 – Apply Congruence and Triangles