Presentation is loading. Please wait.

Presentation is loading. Please wait.

Homework: p.322: : LL, HA, LA, HL Objectives

Similar presentations


Presentation on theme: "Homework: p.322: : LL, HA, LA, HL Objectives"β€” Presentation transcript:

1 Homework: p.322: 5-15 4-5: LL, HA, LA, HL Objectives
Use the right triangle congruence theorem to prove relationships in geometric figures Vocabulary: None They call me Mr. Pig!

2 Concept: Right Triangle Congruence Theorems
LL HA LA HL

3 Example 1: Choosing the Correct Postulate
Look at each figure and determine which, if any, of the Right Triangle Congruence Theorems can be used. B HL A No LA C

4 Student Led Example 1: Choosing a Postulate
Choose the correct postulate for each situation HA A B C LL HL Not congruent HA D F LL E

5 Student Led Example 1: What’s Missing
B State the congruence statement needed 𝐷𝐸 β‰… π‘ˆπ‘‰ 𝑀𝐿 β‰… 𝑀𝐻 B A LL HA βˆ πΆβ‰…βˆ πΌ OR βˆ π΅β‰…βˆ π½ 𝐹𝐸 β‰… 𝑉𝐸 OR 𝐷𝐹 β‰… 𝑇𝑉 C D LA LA

6 Example 2: Right Triangle Proofs
Given: 𝑅𝑆 β‰… 𝑇𝑉 , 𝑅𝑆 βŠ₯ 𝑆𝑇 , 𝑇𝑉 βŠ₯ π‘‰π‘Š , 𝑇 is the midpoint of π‘…π‘Š Prove: βˆ π‘…π‘‡π‘†β‰…βˆ W Statements Reasons 𝑅𝑆 β‰… 𝑇𝑉 , 𝑅𝑆 βŠ₯ 𝑆𝑇 , 𝑇𝑉 β‰… π‘‰π‘Š , 𝑇 is the midpoint of π‘…π‘Š Given Def. of Midpoint 𝑅𝑇 β‰… π‘‡π‘Š HL Ξ”π‘†π‘…π‘‡β‰…Ξ”π‘‰π‘‡π‘Š CPCTC βˆ π‘…π‘‡π‘†β‰…βˆ π‘Š

7 Student Led Example 2: Right Triangle Proofs
Given 𝑫 is the midpoint of π‘ͺ𝑬 π‘ͺ𝑫 β‰… 𝑫𝑬 Given πœŸπ‘©π‘«π‘ͺβ‰…πœŸπ‘­π‘«π‘¬ HL

8 End of Lesson

9 End of Lesson a. HL shows that Δ𝐴𝐡𝐷≅Δ𝐢𝐡𝐷 c. Yes, CPCTC
b. Yes, SSS if the Pythagorean Thm is used to show 𝐴𝐷 β‰… 𝐢𝐷 c. Yes, CPCTC


Download ppt "Homework: p.322: : LL, HA, LA, HL Objectives"

Similar presentations


Ads by Google