Lesson Plan #29

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Lesson Plan #29

Class: Geometry

Date: Tuesday December 15th, 2020

Topic: Proving overlapping triangles congruent.

Aim: How can we prove overlapping triangles congruent?

Objectives: Students will be able to prove overlapping triangles congruent.

HW #29: On page 5 of this lesson plan

Note: Recall the definition of an angle bisector ? A bisector of an angle is a ray whose

endpoint is the vertex of the angle, and that divides the angle into two congruent angles.

We may also say m AOC = 1 m AOB , m COB = 1 m AOB ,

2

2

m AOB = 2m AOC , m AOB = 2m COB O

from the Angle Bisector Theorem which states an angle bisector divides an angle into two

angles each of which measures one-half the measure of the original angle.

B C

A

Do Now: In Isosceles, ABC , angle B is the vertex angle. AB = 3x + y + 2 , AC = 3y and BC = x + 2 y . If the

perimeter of ABC = 60 , evaluate x + y .

PROCEDURE: Write the Aim and Do Now Get students working! Take attendance Give Back HW Collect HW Go over the Do Now

Visualizing Overlapping Triangles: You can highlight each triangle in a different color.

Assignment #1:

Given: DFE GEF , DEF GFE

Prove: DE GF

Statements

1)

1)

Reasons

2 Separating:

Assignment #2:

Statements

1) 2) 3) 4) 5) 6)

Reasons

1) 2) 3) 4) 5) 6)

Assignment #3:

Given: B and C are right angles. BA CD BE FC

Statements

1)

Reasons

1)

3 Assignment #4:

Statements

1)

Reasons

1)

Assignment # 5:

Given: D C M is the midpoint of DC 1 2

Prove:

DB CA

Statements

Reasons

4

If Enough Time or if needed do the extra assignments

Assignment #6:

Statements

Reasons

Assignment #7:

Statements

Reasons

5 HW#29: Name ______________________________________________ Date ________________ Per. _______

1) Given: SXR , SYT , SX SY , XR YT Prove: RSY TSX

Statements

1)

Reasons

1)

2)

3) 4) 5)

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