1. 2.5 Proving Right Triangles Congruent
CHAPTER
2.5 Proving Right Triangles Congruent
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2. Theorem 4.6-6 Hypotenuse-Leg (H-L) Theorem
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3. Conditions for Using the H-L Theorem
To use the H-L Theorem, the triangles must meet three conditions. • There are two right triangles. • The triangles have congruent hypotenuses. • There is at least one pair of congruent legs.
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Using the H-L Theorem
Given: segment BE bisects segment AD at C Prove: ΔABC ≅ ΔDEC Solution
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5. Using Congruent Triangles
Statements
Reasons
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Other Theorems
• Thm 2.13 (Leg-Angle) If a leg and acute angle of one right triangle are congruent to a leg and the corresponding acute angle of another right triangle, then the two right triangles are congruent Proof: Page 109
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Other Theorems
• Thm 2.14 (Leg-Leg) If the two legs of one right triangle are congruent to the two legs of another right triangle, then the two right triangles are congruent Proof: Page 110
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