UNIT 4: Triangle Congruence NAME, Study notes of Geometry

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UNIT 4: Triangle Congruence NAME:__________________________ CORRECTIVE ASSIGNMENT DATE:__________

State if the two triangles are congruent. If they are, state how you know.

Prove the following. Start by marking the picture and determining why the triangles are congruent. Then fill in the missing statements and reasons! 36 ) Given: 𝑳𝑲����^ ≅ 𝑮𝑴����� 𝑳𝑲���� ∥ 𝑮𝑴����� Prove: ∆𝑳𝑮𝑴 ≅ ∆𝑴𝑮𝑳 STATEMENTS REASONS

2. Given

3. ∠𝐿𝑀𝐺 ≅ ∠𝑀𝐿𝐾 2.

4. 3. Reflexive Property

Prove the following. Start by marking the picture and determining why the triangles are congruent. 37 ) Given: ∆𝑨𝑩𝑪 is isosceles with base 𝑨𝑪���� 𝑫𝑩�����^ is the angle bisector of ∠𝑨𝑩𝑪 Prove: ∆𝑨𝑩𝑫 ≅ ∆𝑪𝑩𝑫 STATEMENTS REASONS

ANSWERS TO UNIT 4 CORRECTIVE ASSIGNMENT

5. x = 7 6) x = 8 and -6 7) x = -9 and 4

Given: 𝑽𝑿����^ bisects 𝒁𝑾����� ∠𝑽 ≅ ∠𝑿 Prove: 𝑉𝑊�����^ ≅ 𝑍𝑋���� STATEMENTS REASONS

1. 𝑉𝑋����^ bisects 𝑍𝑊����� ∠𝑉 ≅ ∠𝑋 1. Given
2. 𝑍𝑈����^ ≅ 𝑈𝑊�����^ 2. Definition of bisect 3. ∠𝑉𝑈𝑊 ≅ ∠𝑍𝑈𝑋 3. Vertical Angles are Congruent
3. ∆𝑉𝑈𝑊 ≅ ∆𝑋𝑈𝑍 4. AAS (Angle-Angle-Side)
4. 𝑉𝑊�����^ ≅ 𝑍𝑋����^

5. CPCTC

(Corresponding Parts of Congruent Triangles are Congruent)