Unit 2, Lesson 7
Angle-Side-Angle Triangle Congruence
Geometry
Practice
Problem 1
What triangle congruence theorem could you use to prove triangle \(ADE\) is congruent to triangle \(CBE\)?
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What triangle congruence theorem could you use to prove triangle \(ADE\) is congruent to triangle \(CBE\)?
Han wrote a proof that triangle \(BCD\) is congruent to triangle \(DAB\). Han's proof is incomplete. How can Han fix his proof?
\(DC \parallel AB\)
Segment \(GE\) is an angle bisector of both angle \(HEF\) and angle \(FGH\). Prove triangle \(HGE\) is congruent to triangle \(FGE\).
Triangles \(ACD\) and \(BCD\) are isosceles. Angle \(BAC\) has a measure of 33 degrees and angle \(BDC\) has a measure of 35 degrees. Find the measure of angle \(ABD\).
Andre is drawing a triangle that is congruent to this one. He begins by constructing an angle congruent to angle \(LKJ\). What is the least amount of additional information that Andre needs to construct a triangle congruent to this one?
Here is a diagram of a straightedge and compass construction. \(C\) is the center of one circle, and \(B\) is the center of the other. Which segment has the same length as segment \(CA\)?
\(BA\)
\(BD\)
\(CB\)
\(AD\)