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4.2 Apply Congruence and Triangles Mr. Saucedo Geometry Milby High School

4.2 apply congruence and triangles

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Lesson 4.2 in High School Geometry. Congruence in triangles and corresponding sides.

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Page 1: 4.2 apply congruence and triangles

4.2 Apply Congruence and Triangles

Mr. Saucedo

GeometryMilby High School

Page 2: 4.2 apply congruence and triangles

OBJECTIVE…

• We will identify congruent

figures.

Page 3: 4.2 apply congruence and triangles

VOCABULARY

•CONGRUENT FIGURES

•CORRESPONDING PARTS

Page 4: 4.2 apply congruence and triangles

CONGRUENT FIGURES•DEFINITION:

▫Figures with the same size and shape.

•SYMBOL:

•VISUAL

Page 5: 4.2 apply congruence and triangles

Checkpoint: Are the following shapes congruent?

Page 6: 4.2 apply congruence and triangles

CHECKPOINT: Are the following figures

congruent?

Page 7: 4.2 apply congruence and triangles

CHECKPOINT: Are the following figures congruent?

Page 8: 4.2 apply congruence and triangles

TALKING ABOUT MATHEMATICS…•Turn to your neighbor and tell him what

makes figures congruent.

Page 9: 4.2 apply congruence and triangles

CORRESPONDING PARTS

•DEFINITION:▫A pair of sides or angles that have the same

relative position in two congruent or similar figures.

•VISUAL

▫Angles A and E are corresponding.▫Angles C and F are corresponding.▫Side BC corresponds to DF, etc.

Page 10: 4.2 apply congruence and triangles

ACTIVITY: CORRESPONDING PARTS

Page 11: 4.2 apply congruence and triangles

ACTIVITY DEBRIEF QUESTIONS

•How can patty paper help you to determine which sides and angles are corresponding?

•How do you determine if an angle is included between two sides?

•How do you determine if a side is included between two angles?

Page 12: 4.2 apply congruence and triangles

BIG QUESTION:

• How can we decide if two Figures are congruent or not?

• What steps could we take to make a mathematical decision?

Page 13: 4.2 apply congruence and triangles

CHECKPOINT:

•Are the two triangles congruent?

Page 14: 4.2 apply congruence and triangles

GUIDED PROBLEM 1• Identify congruent

parts.

• Are these triangles congruent?

Page 15: 4.2 apply congruence and triangles

GUIDED PROBLEM 2

Page 16: 4.2 apply congruence and triangles

CHECKPOINT

Page 17: 4.2 apply congruence and triangles

INDEPENDENT PRACTICE

Section 4-2, page 228

Problems: 3, 5, 6, 7, 8, 9, 10, 12 (is it congruent?), 16, 20.

Pre-AP: Do worksheet.

Page 18: 4.2 apply congruence and triangles

HOMEWORK:

Section 4-2

Workboko page 64

Problems: 2, 3, 4, 5, 6, 7, 11 & 12Pre AP : Add problems 13, 14 & 15.