chapter 4.1 and 4.2 classifying triangles angles of triangles
TRANSCRIPT
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Chapter 4.1 and 4.2
Classifying Triangles
Angles of Triangles
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Concept
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Classify Triangles by Angles
A. Classify the triangle as acute, equiangular, obtuse, or right.
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Classify Triangles by Angles
B. Classify the triangle as acute, equiangular, obtuse, or right.
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Classify Triangles by Angles Within Figures
Classify ΔXYZ as acute, equiangular, obtuse, or right. Explain your reasoning.
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Example 2
A. acute
B. equiangular
C. obtuse
D. right
Classify ΔACD as acute, equiangular, obtuse, or right.
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Concept
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Classify Triangles by Sides Within Figures
If point Y is the midpoint of VX, and WY = 3.0 units, classify ΔVWY as equilateral, isosceles, or scalene. Explain your reasoning.
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A. equilateral
B. isosceles
C. scalene
If point C is the midpoint of BD, classify ΔABC as equilateral, isosceles, or scalene.
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Finding Missing Values
ALGEBRA Find the measures of the sides of isosceles triangle KLM with base KL.
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ALGEBRA Find 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.
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Prove it!
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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.
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Example 1
A. 95
B. 75
C. 57
D. 85
Find the measure of 3.
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Concept 3
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Example 2 Use the Exterior Angle Theorem
GARDENING Find the measure of FLW in the fenced flower garden shown.
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Example 2
A. 30
B. 40
C. 50
D. 130
The piece of quilt fabric is in the shape of a
right triangle. Find the measure of ACD.
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Concept 5
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Find Angle Measures in Right Triangles
Find the measure of each numbered angle.
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A. 50
B. 45
C. 85
D. 130
Find m3.