'Proving triangles' presentation slideshows

SIMILAR TEST REVIEW

SIMILAR TEST REVIEW. STUDY, STUDY, STUDY!!!. HOW CAN A RATIO BE WRITTEN?. HOW CAN A RATIO BE WRITTEN?. a : b and a/b. HOW CAN A RATIO BE WRITTEN?. a : b and a/b READS: A TO B. What is the definition of a PROPORTION?. What is the definition of a PROPORTION?.

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Proving Triangles are Congruent SSS, SAS; ASA; AAS

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Proving Triangles are Congruent SSS, SAS; ASA; AAS

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Chapter 8

Chapter 8. Similarity. Chapter 8 Objectives. Define a ratio Manipulate proportions Use proportions to solve geometric situations Calculate geometric mean Identify similar polygons Prove triangles are similar Use properties of similar triangles Perform dilations. Lesson 8.1. Ratio and

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Learning Target #17

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Learning Target

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4-6

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4.4 Proving Triangles are Congruent by ASA and AAS

4.4 Proving Triangles are Congruent by ASA and AAS. Definite ASA and AAS . Angle-Side-Angle (ASA). If two angles and a side between them are congruent in two different triangles, then the triangles are congruent. Since. Angle-Angle-Side.

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Warm-Up

Warm-Up. Geometry. Proving Triangles are Congruent. Learning Outcomes!. I will be able to use congruence postulates to write two column proofs for congruent triangles. Given. Alt. interior. Given. Vertical. ASA. Given. MO=OQ. O is the midpt of NP. NO=OP. Vertical angles. SAS.

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Warm-Up

Warm-Up. Geometry. Proving Triangles are Congruent. Learning Outcomes!. I will be able to use congruence postulates to write two column proofs for congruent triangles. Given. Alt. interior. Given. Vertical. ASA. Given. MO=OQ. O is the midpt of NP. NO=OP. Vertical angles. SAS.

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Lesson 4.3 and 4.4 Proving Triangles are Congruent

Lesson 4.3 and 4.4 Proving Triangles are Congruent. p. 212. Learning Target. I can list the conditions (SAS, SSS) to prove triangles are congruent. I can identify and use reflexive, symmetric and transitive property in my proof. How To Find if Triangles are Congruent.

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4.4 Proving triangles using ASA and AAS

4.4 Proving triangles using ASA and AAS. Angle-Side-Angle (ASA) ? postulate. If 2 ? s and the included side of one ? are ? to the corresponding ? s and included side of another ? , then the 2 ? s are ?. B. ((. C. ).

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Answers to Homework

Answers to Homework. All answers to SELF TESTS are in the back!!! Questions???. 4-5 Other Methods of Proving triangles Congruent. Theorem. AAS Angle-Angle-Side: If two angles and a NON-INCLUDED side are cong., then the triangles are cong. HL (90)

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Congruence in Right Triangles

Congruence in Right Triangles. hypotenuse. legs. Right Triangles. The side opposite the right angle is the longest side and is called the hypotenuse . The other two sides are called legs. B. Y. C. Z. A. X. Theorem 4-6 Hypotenuse-Leg (HL) Theorem

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4.3 & 4.4 Proving Triangles are C ongruent

4.3 & 4.4 Proving Triangles are C ongruent. Side-Side-Side (SSS) Congruence Postulate:. If 3 sides of one triangle are congruent to 3 sides of another triangle, then the two triangles are congruent. Side-Angles-Side (SAS) Congruence Postulate.

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Proving Triangles are Congruent: ASA and AAS

Proving Triangles are Congruent: ASA and AAS. Geometry. Angle-Side-Angle (ASA) Congruence Postulate. If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

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Geometry

Geometry. Objective: SWBAT use the AA, SSS, SAS similarity postulates. Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS. Angle- Angle (AA) Similarity Postulate.

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MX AB . Explain why the triangles are similar. Write a similarity statement.

Because MX AB , ? AXM and ? BXK are both right angles, so ? AXM ? BXK. ? A ? B because their measures are equal. AMX ~ BKX by the Angle-Angle Similarity Postulate (AA ~ Postulate). Proving Triangles Similar. LESSON 7-3. Additional Examples.

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Lesson 8.5

Lesson 8.5. Proving Triangles are Similar. Lesson 8.5 Objectives. Prove triangles are similar using the SSS Similarity Theorem Prove Triangles are similar using the SAS Similarity Theorem Utilize properties of similar triangles. 10. 10. 5. 5. 3. 6.

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