Congruent Triangles 3 To use ASA and AAS

Congruent Triangles 3 To use ASA and AAS and to test for congruence.

D 0 NOW: Determine if the following triangles are congruent by SSS, SAS, both, or neither. 1. 2. 3. 4. 5.

Included Side A side that is between two consecutive angles.

Angle-Side-Angle(ASA) Congruence If two angles and the included side of one triangle are congruent to two angles and the included side of another triangles, then the triangles are congruent.

Construction: Congruent Triangles Using Two Angles and Included Side Draw a triangle and label it ΔABC. Then use the ASA Postulate to construct ΔXYZ = ΔABC. https: //youtu. be/2 FPa 3 -hb-q. E 1. Draw a line away from ΔABC. 2. Copy the angles that are on either side of the segment. 3. Draw the lines until they meet, forming the final vertex.

Using ASA to Prove Triangle Congruence Statements Reasons 1. <W = <B Given 2. HP bisects WB Given 3. WJ = JB Def. of bisect 4. <WJH = <BJP Lateral angles 5. ΔWHJ = ΔBPJ ASA

Angle-Side (AAS) Congruence If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of a second triangle, then the two triangles are congruent.

Proof AAS Theorem

Extra Practice https: //youtu. be/p 6 w 1 JBLS-Tk

Classwork/Homework Complete the worksheet that is attached on mynea. org