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4.3 Proving Triangles are Congruent Side-Side-SideSide-Angle-Side.

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Presentation on theme: "4.3 Proving Triangles are Congruent Side-Side-SideSide-Angle-Side."— Presentation transcript:

1 4.3 Proving Triangles are Congruent Side-Side-SideSide-Angle-Side

2 Side-Side-Side If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

3 Side-Angle-Side If two sides and an angle between the sides are congruent in two different triangles, then the triangles are congruent.

4 Name the congruent Triangles

5

6 Prove

7 #1.#1.Given #2. #2. Vertical angles congruent #3.#3.Given #4.#4.S.A.S. (side-angle-side)

8 Prove #1.#1.Given #2.#2. Vertical angles congruent #3.#3.Given #4.#4.S.A.S. (side-angle-side)

9 Prove #1.#1.Given #2.#2. Vertical angles congruent #3.#3.Given #4.#4.S.A.S. (side-angle-side)

10 Prove #1.#1.Given #2.#2. Vertical angles congruent #3.#3.Given #4.#4.S.A.S. (side-angle-side)

11 Prove #1.#1.Given #2.#2. Vertical angles congruent #3.#3.Given #4.#4.S.A.S. (side-angle-side)

12 Prove #1.#1.Given #2.#2. Vertical angles congruent #3.#3.Given #4.#4.S.A.S. (side-angle-side)

13 Prove #1.#1.Given #2.#2. Vertical angles congruent #3.#3.Given #4.#4.S.A.S. (side-angle-side)

14 Can you prove What do you need to show Congruent

15 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

16 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

17 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

18 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

19 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

20 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

21 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

22 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

23 Given: Prove: #1.#1.Given #2., are #2.Def. of Prep. Lines right angles #3.#3.All Rt. Angles #4.#4.Reflexive #5.#5.S.A.S.

24 Homework Page 216 #6 -17, 23, 26

25 Homework Page 217- 219 #18 – 22, 24, 25, 28, 34, 35, 41 – 43


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