'Vertical angles theorem ' diaporamas de présentation

7-1

7-1. Ratio and Proportion. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. Objectives. Write and simplify ratios. Use proportions to solve problems. Remember!. In a ratio, the denominator of the fraction cannot be zero because division by zero is undefined.

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Concepts, Theorems and Postulates that can be use to prove that triangles are congruent .

Concepts, Theorems and Postulates that can be use to prove that triangles are congruent. Learning Target. I can identify and use reflexive, symmetric and transitive property in proving two triangles are congruent. I can use theorems about line and angles in my proof.

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4.5 Using Congruent Triangles

4.5 Using Congruent Triangles. Geometry Mrs. Spitz Fall 2004. Objectives:. Use congruent triangles to plan and write proofs. Use congruent triangles to prove constructions are valid. Assignment:. Pgs. 232-234 #1-21 all. Planning a proof.

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Angle Theorems & Definitions (Review)

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4-2 Angles of Triangles

You classified triangles by their side or angle measures. 4-2 Angles of Triangles. Apply the Triangle Angle-Sum Theorem. Apply the Exterior Angle Theorem. The Three Angles. Number the angles of your triangle. Fold the top angle (1) to touch the opposite side.

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DRILL

DRILL. Given: N is the midpoint of LW N is the midpoint of SK Prove:. Statements Reasons. N is the midpoint of LW N is the midpoint of SK. Given. Definition of Midpoint. Vertical Angles are congruent. SAS Postulate.

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Similar Triangles 8.3

Similar Triangles 8.3. homework. Identify similar triangles. Learn the definition of AA, SAS, SSS similarity. Use similar triangles to solve problems. homework. homework. homework. Explain why the triangles are similar and write a similarity statement.

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4-3 Congruent Triangles

You identified and used congruent angles. 4-3 Congruent Triangles. Name and use corresponding parts of congruent polygons. Prove triangles congruent using the definition of congruence. Vocabulary. If two geometric figures have exactly the same shape and size, they are congruent .

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2.8 Proving Angle Relationships

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DRILL Prove each pair of triangles are congruent.

DRILL Prove each pair of triangles are congruent. Given: PQ is congruent to QR and PS is congruent to SR. Given: AB ? CD, BC ? DA. Objectives:. Use congruent triangles to plan and write proofs. Use congruent triangles to prove constructions are valid.

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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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4.2 Congruence & Triangles

4.2 Congruence & Triangles. Geometry Taken from: http://www.dgelman.com/powerpoints/geometry/spitz/4.2Congruence%20and%20Triangles.ppt. Objectives:. Identify congruent figures and corresponding parts Prove that two triangles are congruent. Identifying congruent figures.

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2-5 Proving angles congruent

2-5 Proving angles congruent. Vertical angles. Two angles whose sides are opposite rays. 1. 4. 3. 2. Adjacent angles. Two coplanar angles with a common side , a common vertex , and no common interior points. 3. 4. 1. 2. Complementary angles. Two angles that ADD up to 90?

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7-3

7-3. Triangle Similarity: AA, SSS, SAS. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Holt Geometry. Warm Up Solve each proportion. 1. 2. 3. 4. If ? QRS ~ ? XYZ , identify the pairs of congruent angles and write 3 proportions using pairs of corresponding sides.

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Triangle Congruence by SSS & SAS

Triangle Congruence by SSS & SAS. Objectives. State postulates of congruence of triangles correctly. Apply postulates of congruence of triangles correctly. Distinguish between SSS and SAS. Correctly interpret and utilize included sides and included angles.

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1.3.d: Angle Relationships

1.3.d: Angle Relationships. Adjacent Angles. Angles with a common side and a common vertex Side by side. Complementary Angles. Angles whose measures add to be _______. Supplementary Angles. Angles whose measures add to be ______. Linear Pair. Adjacent supplementary angles Form a line.

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Chapter 4 Review

Chapter 4 Review. Cut-n-Paste Proofs. SAS Postulate. X is midpoint of AC. Definition of Midpoint. Given. Vertical Angles Theorem. X is midpoint of BD. Substitution property. Vertical Angles Theorem. ASA Postulate. Given. CPCTC. Definition of Perpendicular. Given. AAS Theorem.

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3.8 HL

3.8 HL. Objectives: Use HL in proofs to prove triangles congruent. S. B. R. T. A. C. Hypotenuse-Leg Congruence Theorem (HL). If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. (HL).

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Triangle Proofs

Triangle Proofs. T. J. M. E. State the reason for each statement:. T. J. M. E. Statements: E is the midpoint of MJ ME ? JE TE MJ ?MET ? ?JET TE ? TE ?MET ? ?JET. Reasons: Given Def. of midpoint. Given If 2 lines are , then they form ? adjacent angles. Reflexive Property

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1. Reflexive Property 2. Symmetric Property 3. Definition of Supplementary

13. Trans. Prop.(Subs. Prop.) 14. Mult . Prop. of = 15. Def. of Supplementary 16. Def. of a straight angle 17. Vertical Angles Theorem 18. Angle Addition Postulate 19. Linear Pair Theorem 20. Segment Add. Post. 21. Def. of Complementary. 1. Reflexive Property

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