'Asa congruence' presentation slideshows

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4.7 Use Congruent Triangles

4.7 Use Congruent Triangles. You will use congruent triangles to prove corresponding parts congruent. Essential Question: How can you use congruent triangles to prove angles or sides congruent?. You will learn how to answer this question by using corresponding parts of congruent triangles.

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Developing a Triangle Proof

Developing a Triangle Proof. Is it possible to prove the triangles are congruent? If so, state the theorem you would use. Explain your reasoning. 1. Developing Proof.

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Developing a Triangle Proof

Developing a Triangle Proof. Is it possible to prove the triangles are congruent? If so, state the theorem you would use. Explain your reasoning. 1. Developing Proof.

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EXAMPLE 1

Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use.

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EXAMPLE 1

GIVEN. ? RTQ RTS. 1 2 ,. QT ST. PROVE. If you can show that QRT SRT , you will know that QT ST. First, copy the diagram and mark the given. information. EXAMPLE 1. Use congruent triangles.

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Other methods of Proving Triangles Congruent (AAS), (HL)

Other methods of Proving Triangles Congruent (AAS), (HL). 4-5. C F ,. BC EF. A D ,. GIVEN. ABC DEF. PROVE. EXAMPLE 2. Prove the AAS Congruence Theorem. Prove the Angle-Angle-Side Congruence Theorem. Write a proof.

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Triangle Similarity

Triangle Similarity. Advanced Geometry Similarity Lesson 3. In the Triangle Congruence unit we talked about four tests for proving that two triangles are congruent ;. SSS Congruence, SAS Congruence, ASA Congruence, and AAS Congruence.

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(Proving Congruent Triangles)

Congruence. (Proving Congruent Triangles). Proponents: Bernadine F. Culaban Leonard A. Zamora. What is congruence?. Congruence is a condition wherein all corresponding parts of a figure coincide.

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EXAMPLE 2

Use the following method to find the distance across a river, from point N to point P. Place a stake at K on the. near side so that NK NP. Find M , the midpoint of NK. Locate the point L so that NK KL and L , P , and M. are collinear. EXAMPLE 2.

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EXAMPLE 3

GIVEN. CE BD ,. ? CAB CAD. ABE ADE. PROVE. EXAMPLE 3. Write a flow proof. In the diagram, CE BD and ? CAB CAD. ABE ADE. Write a flow proof to show. EXAMPLE 4. Standardized Test Practice.

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EXAMPLE 2

Use the following method to find the distance across a river, from point N to point P. Place a stake at K on the. near side so that NK NP. Find M , the midpoint of NK. Locate the point L so that NK KL and L , P , and M. are collinear. EXAMPLE 2.

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EXAMPLE 2

Use the following method to find the distance across a river, from point N to point P. Place a stake at K on the. near side so that NK NP. Find M , the midpoint of NK. Locate the point L so that NK KL and L , P , and M. are collinear. EXAMPLE 2.

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Example 1

Example 1. You are given that ? R ? ? Y and ? S ? ? X. b. You know that RT ? YZ , but these sides are not included between the congruent angles, so you cannot use the ASA Congruence Postulate. Determine When To Use ASA Congruence.

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