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7-5 The SSA Condition and HL Congruence. The abbreviations SsA and HL stand for two other combinations of measures of corresponding sides and angles in.

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Presentation on theme: "7-5 The SSA Condition and HL Congruence. The abbreviations SsA and HL stand for two other combinations of measures of corresponding sides and angles in."— Presentation transcript:

1 7-5 The SSA Condition and HL Congruence

2 The abbreviations SsA and HL stand for two other combinations of measures of corresponding sides and angles in two triangles that are sufficient for the congruence of the triangles. The abbreviations SsA and HL stand for two other combinations of measures of corresponding sides and angles in two triangles that are sufficient for the congruence of the triangles.

3 7-5 The SSA Condition and HL Congruence Are all triangles with the condition shown congruent to the triangle shown? Are all triangles with the condition shown congruent to the triangle shown? Does this new triangle fit the condition? Is it congruent to the first triangle? Does this new triangle fit the condition? Is it congruent to the first triangle?

4 7-5 The SSA Condition and HL Congruence SsA Congruence Theorem SsA Congruence Theorem If two sides and the angle opposite the longer of the two sides in one triangle are congruent respectively to two sides and corresponding angle in another triangle, then the triangles are congruent. If two sides and the angle opposite the longer of the two sides in one triangle are congruent respectively to two sides and corresponding angle in another triangle, then the triangles are congruent.

5 7-5 The SSA Condition and HL Congruence Does SsA apply to any of these triangles?

6 7-5 The SSA Condition and HL Congruence HL Congruence Theorem HL Congruence Theorem If, in two right triangles, the hypotenuse and a leg of one are congruent to the hypotenuse and a leg of the other, then the two triangles are congruent. If, in two right triangles, the hypotenuse and a leg of one are congruent to the hypotenuse and a leg of the other, then the two triangles are congruent.


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