Chapter 4 1 and 4 2
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Chapter 4.1 and 4.2. Classifying Triangles Angles of Triangles. Concept. Classify Triangles by Angles. A. Classify the triangle as acute , equiangular , obtuse , or right. Classify Triangles by Angles. B. Classify the triangle as acute , equiangular , obtuse , or right.

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Chapter 4.1 and 4.2

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Chapter 4 1 and 4 2

Chapter 4.1 and 4.2

Classifying Triangles

Angles of Triangles


Concept

Concept


Chapter 4 1 and 4 2

Classify Triangles by Angles

A. Classify the triangle as acute, equiangular, obtuse, or right.


Chapter 4 1 and 4 2

Classify Triangles by Angles

B. Classify the triangle as acute, equiangular, obtuse, or right.


Chapter 4 1 and 4 2

Classify Triangles by Angles Within Figures

Classify ΔXYZ as acute, equiangular, obtuse, or right. Explain your reasoning.


Example 2

Example 2

Classify ΔACD as acute, equiangular, obtuse, or right.

A.acute

B.equiangular

C.obtuse

D.right


Concept1

Concept


Chapter 4 1 and 4 2

If point Y is the midpoint of VX, and WY = 3.0 units, classify ΔVWY as equilateral, isosceles, or scalene. Explain your reasoning.

Classify Triangles by Sides Within Figures


Chapter 4 1 and 4 2

If point C is the midpoint of BD, classify ΔABC as equilateral, isosceles, or scalene.

A.equilateral

B.isosceles

C.scalene


Chapter 4 1 and 4 2

__

ALGEBRA Find the measures of the sides of isosceles triangle KLM with base KL.

Finding Missing Values


Chapter 4 1 and 4 2

ALGEBRAFind x and the measure of each side of equilateral triangle ABC if AB = 6x – 8, BC = 7 + x, and AC = 13 – x.

A.x = 10; all sides are 3.

B.x = 6; all sides are 13.

C.x = 3; all sides are 10.

D.x = 3; all sides are 16.


Prove it

Prove it!


Example 1

Example 1

Use the Triangle Angle-Sum Theorem

SOFTBALL The diagram shows the path of the softball in a drill developed by four players. Find the measure of each numbered angle.


Example 11

Example 1

Find the measure of 3.

A.95

B.75

C.57

D.85


Concept 3

Concept 3


Example 21

Example 2

Use the Exterior Angle Theorem

GARDENING Find the measure of FLW in the fenced flower garden shown.


Example 22

Example 2

The piece of quilt fabric is in the shape of a right triangle. Find the measure of ACD.

A.30

B.40

C.50

D.130


Concept 5

Concept 5


Chapter 4 1 and 4 2

Find Angle Measures in Right Triangles

Find the measure of each numbered angle.


Chapter 4 1 and 4 2

Find m3.

A.50

B.45

C.85

D.130


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