'Hl congruence theorem' diaporamas de présentation

4-5

4-5. Triangle Congruence: ASA, AAS, and HL. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. AC. Warm Up 1. What are sides AC and BC called? Side AB ? 2. Which side is in between ? A and ? C ?

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4-6

4-6. Triangle Congruence: ASA, AAS, and HL. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. AC. Warm Up 1. What are sides AC and BC called? Side AB ? 2. Which side is in between ? A and ? C ?

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ASA, AAS and HL

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4-6

4-6. Triangle Congruence: ASA, AAS, and HL. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. AC. Warm Up 1. What are sides AC and BC called? Side AB ? 2. Which side is in between ? A and ? C ?

275 views • 16 slides

4-6

4-6. Triangle Congruence: ASA, AAS, and HL. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. AC. Warm Up 1. What are sides AC and BC called? Side AB ? 2. Which side is in between ? A and ? C ?

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Warm Up 1. What are sides AC and BC called? Side AB ?

AC. Warm Up 1. What are sides AC and BC called? Side AB ? 2. Which side is in between ? A and ? C ? 3. Given ? DEF and ? GHI , if ? D ? ? G and ? E ? ? H , why is ? F ? ? I ?. legs; hypotenuse. Third ?s Thm. Objectives.

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4-5

4-5. Triangle Congruence: ASA, AAS, and HL. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. 4.5 Congruent Triangles by HL. AC. Warm Up 1. What are sides AC and BC called? Side AB ? 2. Which side is in between ? A and ? C ?

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PART II: We skipped HL!!!!!!!! Hypotenuse-Leg

PART II: We skipped HL!!!!!!!! Hypotenuse-Leg. ASA. SSS. AAS. SAS. ASS. AAA. But there is a special case of ASS that works!. Objectives. Apply HL to construct triangles and to solve problems. Prove triangles congruent by using HL. Example 1: Applying HL Congruence.

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Do Now #28:

Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem. Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems. Side Names of Triangles. Right Triangles: side across from right angle is the hypotenuse, the remaining two are legs. leg. hypotenuse. leg.

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Do Now #28:

Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem. Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems. Side Names of Triangles. Right Triangles: side across from right angle is the hypotenuse, the remaining two are legs. leg. hypotenuse. leg.

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Example 1

Example 1. Determine When To Use HL. Is it possible to show that ? JGH ? ? HKJ using the HL Congruence Theorem? Explain your reasoning. SOLUTION. In the diagram, you are given that ? JGH and ? HKJ are right triangles.

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EXAMPLE 3

WYZ XZY. PROVE. Redraw the triangles so they are side by side with corresponding parts in the same position. Mark the given information in the diagram. EXAMPLE 3. Use the Hypotenuse-Leg Congruence Theorem. Write a proof. GIVEN. WY XZ , WZ ZY , XY ZY. SOLUTION. STATEMENTS.

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EXAMPLE 3

WYZ XZY. PROVE. Redraw the triangles so they are side by side with corresponding parts in the same position. Mark the given information in the diagram. EXAMPLE 3. Use the Hypotenuse-Leg Congruence Theorem. Write a proof. GIVEN. WY XZ , WZ ZY , XY ZY. SOLUTION. STATEMENTS.

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SAS and HL Congruence

SAS and HL Congruence. Section 4.4. Side-Angle-Side (SAS) Congruence Theorem. If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. BC DA , BC AD. ABC CDA. STATEMENTS. REASONS.

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7-5 The SSA Condition and HL Congruence

7-5 The SSA Condition and HL Congruence. 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 two triangles that are sufficient for the congruence of the triangles.

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