Sections 4 3 4 5 Triangle Congruence If

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Sections 4. 3 - 4. 5 Triangle Congruence

Sections 4. 3 - 4. 5 Triangle Congruence

If 3 sides of one triangle are congruent to 3 sides of another, then

If 3 sides of one triangle are congruent to 3 sides of another, then the 2 triangles are congruent.

SSS: Decide whether or not the congruent statement is true by SSS. Explain your

SSS: Decide whether or not the congruent statement is true by SSS. Explain your reasoning. a. b. by SSS Not by SSS

If 2 sides and the included angle of a triangle are congruent to the

If 2 sides and the included angle of a triangle are congruent to the corresponding parts of another, then the triangles are congruent.

SAS: Decide whether or not the congruent statement is true by SAS. Explain your

SAS: Decide whether or not the congruent statement is true by SAS. Explain your reasoning. c. d. No

If 2 angles and the included side of a triangle are congruent to the

If 2 angles and the included side of a triangle are congruent to the corresponding parts of another, then the triangles are congruent.

ASA: Decide whether or not the congruent statement is true by ASA. Explain your

ASA: Decide whether or not the congruent statement is true by ASA. Explain your reasoning. c. A B E C D d.

If 2 angles and the non- included side of a triangle are congruent to

If 2 angles and the non- included side of a triangle are congruent to the corresponding parts of another, then the triangles are congruent.

AAS: Decide whether or not the congruent statement is true by AAS. Explain your

AAS: Decide whether or not the congruent statement is true by AAS. Explain your reasoning. c. d. Yes ASA NO

Leg: 2 shorter sides of a right triangle Hypotenuse: Longest side of a

Leg: 2 shorter sides of a right triangle Hypotenuse: Longest side of a right triangle and opposite the right angle If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another, then the triangles are congruent.

HL: Decide whethere is enough information to prove that the two triangles are congruent

HL: Decide whethere is enough information to prove that the two triangles are congruent by using HL theorem. A) B) B and D are both right angles. C is the midpoint of .

SSA / ASS

SSA / ASS

On Your Own 5: Can the triangles be proven congruent with the information given

On Your Own 5: Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use. 1. is TSW WVT? 2. 3.

Warm Up: Use the diagram to name the included angle between the given pair

Warm Up: Use the diagram to name the included angle between the given pair of sides. a. c. b. H HIG HGI

On Your Own 2: Use the diagram to name the included angle between the

On Your Own 2: Use the diagram to name the included angle between the given pair of sides. a. c. b. GIJ HGI J

EXTRA PRACTICE Explain how you can prove that the indicated triangles are congruent using

EXTRA PRACTICE Explain how you can prove that the indicated triangles are congruent using the given postulate or theorem. a. b. c.

Practice problems State third congruence that is needed to prove that ∆ DEF ∆

Practice problems State third congruence that is needed to prove that ∆ DEF ∆ ABC, using the given postulate or theorem. 1. 2. 3. E B

Tell whether you can use the given information to show that ∆ JKL ∆

Tell whether you can use the given information to show that ∆ JKL ∆ RST. 4. 5. 6. 7. NO Yes AAS Yes ASA NO

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