U2L7 Angle-Side-Angle Triangle Congruence

What triangle congruence theorem could you use to prove triangle ADE is congruent to triangle CBE?

• AAS (Angle-Angle-Side) congruence theorem
• ASA (Angle-Side-Angle) congruence theorem
• SSS (Side-Side-Side) congruence theorem

Line AB is parallel to line DC and cut by transversal DB.

So angles CBD and ABD are ​ (a)   interior angles and must be congruent.

Side DB is congruent to side ​ (b)   because they're the same segment.

Angle A is congruent to angle C because they're both ​ (c)   angles.

By the Triangle Angle Sum Theorem, angle ADB is congruent to angle CBD.

By the ​ (d)   Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB

• alternate
• BD
• right
• Angle-Side-Angle

Segment GE is congruent to segment GE because they are the ​ (a)   segment.

Angle HEG is congruent to angle FEG, and angle HGE is congruent to angle FGE because of the definition of ​ (b)   .

Therefore, triangle HGE is congruent to triangle FGE by the ​ (c)   Triangle Congruence Theorem.

• same
• angle bisectors
• Angle-Side-Angle

Angle ABD has a measure of _____ degrees.

Which conjecture is possible to prove?

• All triangles with at least one side length of 5 are congruent.

• All pentagons with at least one side length of 5 are congruent.

• All rectangles with at least one side length of 5 are congruent.

• All squares with at least one side length of 5 are congruent.

• BA

• BD

• CB

• AD

The lengths of segments LK and ___.