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4-1: Congruent Figures.

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Presentation on theme: "4-1: Congruent Figures."— Presentation transcript:

1 4-1: Congruent Figures

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3 If HIJK is congruent to LMNO, list the corresponding parts

4 The wings of an SR-71 Blackbird suggest congruent triangles
The wings of an SR-71 Blackbird suggest congruent triangles. What is the measure of angle D?

5 Are the triangles congruent? Why or why not?

6 Prove the triangles congruent
Statements Reasons 1) 2) 3) 4) 5) 1) 2) 3) 4) 5)

7 4-2: Triangle Congruence by SSS and SAS

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10 Using SSS Statements Reasons 1) 2) 3) 4) 1) 2) 3) 4)

11 Using SAS For each, what other information do you need to prove the two triangles congruent by SAS?

12 Are the triangles congruent by SSS, SAS, or neither?

13 4-3: Triangle Congruence by ASA and AAS

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16 Which two triangles are congruent by ASA? Why?

17 Write a proof using ASA Statements Reasons 1) 2) 3) 4) 1) 2) 3) 4)

18 Write a proof using AAS 1) 2) 3) 4) 5) 1) 2) 3) 4) 5) Statements
Reasons 1) 2) 3) 4) 5) 1) 2) 3) 4) 5)

19 Are the triangles congruent by ASA, AAS, or neither?

20 4-4: Using Corresponding Parts of Congruent Triangles

21 Proving Parts of Congruent Triangles
Statements Reasons 1) 2) 3) 4) 5) 1) 2) 3) 4) 5)

22 Proving Parts of Congruent Triangles
Statements Reasons 1) 2) 3) 4) 5) 1) 2) 3) 4) 5)

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24 Proving Parts of Congruent Triangles
Statements Reasons 1) 2) 3) 4) 5) 6) 1) 2) 3) 4) 5) 6)

25 4-5: Isosceles and Equilateral Triangles

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28 Using Isosceles Triangle Theorems
Is segment AB congruent to segment CB? Is angle WVS congruent to angle R? Is TR=TS?

29 Find the value of x

30 Suppose all the vertex angles have a measure of 58, what are the measures of angle A and angle BCD?

31 4-6: Congruence in Right Triangles

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33 Write a proof using HL 1) 2) 3) 4) 5) 1) 2) 3) 4) 5) Statements
Reasons 1) 2) 3) 4) 5) 1) 2) 3) 4) 5)

34 Write a proof using HL 1) 2) 3) 4) 5) 6) 1) 2) 3) 4) 5) 6) Statements
Reasons 1) 2) 3) 4) 5) 6) 1) 2) 3) 4) 5) 6)

35 Write a proof using HL 1) 2) 3) 4) 5) 6) 1) 2) 3) 4) 5) 6) Statements
Reasons 1) 2) 3) 4) 5) 6) 1) 2) 3) 4) 5) 6)


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