Proving Triangles Congruent with HL Postulate

The HL Congruence Postulate in plane geometry helps prove triangles congruent when the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle. Explore examples and proofs using the HL Theorem to deepen your understanding of triangle congruence.

• Geometry
• Triangles
• Congruent
• HL Postulate
• Proof

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Uploaded on Feb 22, 2025 | 0 Views

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Presentation Transcript

1. Unit 4 Unit 4- -4 4 PROVING TRIANGLES PROVING TRIANGLES CONGRUENT: CONGRUENT: HL CONGRUENCE HL CONGRUENCE PLANE GEOMETRY PLANE GEOMETRY

2. Right Triangles: Hypotenuse Leg Leg

3. Hypotenuse-Leg (HL) Congruence: If the Hypotenuse and a Leg of One Right Triangle are Congruent to the Hypotenuse and Corresponding Leg of Another Right Triangle, Then the Triangles are Congruent. ?? ?? ? ????? ???????? ?? ?? ??? ?? ?? ,???? ??? ???. ? ? ? ? ? ?

4. HL Theorem, you must show the following: There are 2 Right Triangles The Triangles Have Hypotnuses There is One Pair of Congruent Legs

5. Example 1: What Information is Missing to Prove the Triangles are Congruent using the HL Postulate. ? ? ? ? ? ?

6. Example 2: What Information is Missing to Prove the Triangles are Congruent using the HL Postulate. ? ? ? ? ? ? ? ? ? ? ? ?

7. Example 3: Given: ?? ??,?? ?? ??? ????????????? ???????? ?? ?? Prove: ??? ??? Write a Two-Column Proof. ? STATEMENTS REASONS ? ? ? ?

8. Example 4: Write a Two-Column Proof. Given: ?? ??, ? ??? ? ??? ????? ?????? Prove: ??? ??? ? ? STATEMENTS REASONS ? ?

9. Example 5: Are the Given Triangles Congruent by HL Theorem or Not Possible?