Exploring Corresponding Parts of Congruent Triangles

What is the essential question of the lesson?

• What is the definition of a midpoint?

• How do you calculate the area of a triangle?

• What are the properties of congruent triangles?

• How do transformations help identify and prove congruent or similar figures?

If two figures are congruent, what can be said about their corresponding sides and angles?

• Corresponding sides are congruent, but angles are not.

• They are not related.

• Corresponding sides and angles are congruent.

• Only the angles are congruent.

In the example with triangles CA and HF, which sides are congruent?

• CA and FG

• AB and HG

• CA and HF

• CB and HF

What is the measure of angle B if angle E is 65 degrees in congruent triangles?

• 45 degrees

• 75 degrees

• 65 degrees

• 90 degrees

If AB is 3x + 8 inches and DE is 5x inches, what is the value of x?

• 6

• 5

• 4

• 7

What is the length of AB if x = 4?

• 12 inches

• 24 inches

• 16 inches

• 20 inches

What is the definition of a midpoint?

• A point that divides a segment into three equal parts.

• A point that is at the end of a segment.

• A point that divides a segment into two equal parts.

• A point that is outside the segment.

In a two-column proof, what is the reason for the first statement?

• Transitive property

• Given

• Definition of midpoint

• Corresponding parts of congruent triangles are congruent

Which property allows you to conclude that if J is congruent to K and K is congruent to P, then J is congruent to P?

• Reflexive property

• Transitive property

• Symmetric property

• Associative property

What must every statement in a proof have?

• A diagram

• A reason

• A conclusion

• A question