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Presentation transcript:

Splash Screen

You solved equations by adding or subtracting. (Lesson 4–3) Find the missing angle measure of a triangle. Classify triangles by properties and attributes. Then/Now

line segment triangle vertex congruent Vocabulary

Concept A

Find the value of x in ΔDEF. Find Angle Measures Find the value of x in ΔDEF. Write an equation. 100 + 33 + x = 180 Substitution 133 + x = 180 Simplify. 133 – 133 + x = 180 – 133 Subtract 133 from each side. x = 47 Simplify. Answer: x is 47, so mF = 47°. Example 1

Find the value of x in ΔMNO. B. 123 C. 139 D. 303 Example 1

The sum of the angle measures is 180. Use Algebra to Find Angle Measures ALGEBRA The measures of the angles of a triangle are 2x, x + 25, and x – 5. What are the measures of the angles? The sum of the angle measures is 180. 2x + (x +25) + (x + -5) = 180 Write the equation. 4x +20 = 180 Combine like terms. - 20 -20 Subtract. 4x = 160 Simplify. Divide each side by 4. x = 40 Simplify. Example 2

Substitute 40 for x in each expression. 2x = 2(40) = 80 Use Algebra to Find Angle Measures Substitute 40 for x in each expression. 2x = 2(40) = 80 x + 25 = 40 + 25 = 65 x - 5 = 40 - 5 = 35 Answer: The measures of the angles are 80°, 65°, and 35°. Example 2

Concept B

Concept C

Concept D

A. Classify the triangle below by its angles and by its sides. Classify Triangles A. Classify the triangle below by its angles and by its sides. Angles: The triangle has an obtuse angle. Sides: The triangle has no congruent sides. Answer: The triangle is an obtuse scalene triangle. Example 4

B. Classify the triangle by its angles and by its sides. Classify Triangles B. Classify the triangle by its angles and by its sides. Angles: The triangle has a right angle. Sides: The triangle has two congruent sides. Answer: The triangle is a right isosceles triangle. Example 4

A. Classify the triangle by its angles and by its sides. A. right scalene B. obtuse scalene C. obtuse isoceles D. acute equilateral Example 4 CYP A

B. Classify the triangle by its angles and by its sides. A. right isoceles B. obtuse isoceles C. obtuse scalene D. acute equilateral Example 4 CYP B

Concept D