Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises...

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Tell whether the pair of triangles is congruent or not and why. Bell Work

Transcript of Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises...

Page 1: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up Exercises

Tell whether the pair of triangles is congruent or not

and why.

Bell Work

Page 2: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up Exercises

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, than

the two triangles are congruent.

Notes

Page 3: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up Exercises

Angle-Angle-Side (AAS) Congruence Theorem

If two angles and a non-included side of one triangle are

congruent to two angles and the corresponding non-included

side of a second triangle, then the two triangles are congruent.

Notes

Page 4: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up ExercisesEXAMPLE 1 Identify congruent triangles

Can the triangles be proven congruent with the

information given in the diagram? If so, state the

postulate or theorem you would use.

Page 5: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up ExercisesEXAMPLE 1 Identify congruent triangles

Can the triangles be proven congruent with the

information given in the diagram? If so, state the

postulate or theorem you would use.

Page 6: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up ExercisesEXAMPLE 1 Identify congruent triangles

Can the triangles be proven congruent with the

information given in the diagram? If so, state the

postulate or theorem you would use.

Page 7: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up ExercisesEXAMPLE 2 Prove the AAS Congruence Theorem

Prove the Angle-Angle-Side Congruence Theorem.

Write a proof.

GIVEN BC EFA D, C F,

PROVE ABC DEF

Page 8: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up ExercisesGUIDED PRACTICE for Examples 1 and 2

1. In the diagram at the right, what

postulate or theorem can you use to

prove that RST VUT ? Explain.

Page 9: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up ExercisesDaily Homework Quiz

Tell whether each pair of triangle are congruent by

SAS, ASA, SSS, AAS or HL. If it is not possible to prove

the triangle congruent, write not necessarily

congruent.

1.

Quick Check

Page 10: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up ExercisesDaily Homework Quiz

Tell whether each pair of triangle are congruent by

SAS, ASA, SSS, AAS or HL. If it is not possible to prove

the triangle congruent, write not necessarily

congruent.

2.

Quick Check

Page 11: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up Exercises

Quiz Topics• Classifying Triangles by Sides

• Classifying Triangles by Angles

• Triangle Sum Theorem (know proof)

• Congruent Triangles

• Congruent Figures and Rigid Motions (3)

• SSS, SAS, HL, ASA, AAS

For Tomorrow

Page 12: Warm-Up Exercises Bell Work Tell whether the pair of ... Notes to Post.pdf · Warm-Up Exercises Tell whether the pair of triangles is congruent or not ... Warm-Up Exercises Angle-Angle-Side

Warm-Up Exercises

HomeworkHW: 4.6 (pg. 250-252) #3,5,23,24,26,27

Study for 4.1-4.6 Quiz

For Tomorrow


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