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Five-Minute Check (over Lesson 4–1) Then/Now New Vocabulary Theorem 4.1: Triangle Angle-Sum Theorem Proof: Triangle Angle-Sum Theorem Example 1: Real-World Example: Use the Triangle Angle-Sum Theorem Theorem 4.2: Exterior Angle Theorem Proof: Exterior Angle Theorem

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  1. Five-Minute Check (over Lesson 4–1) Then/Now New Vocabulary Theorem 4.1: Triangle Angle-Sum Theorem Proof: Triangle Angle-Sum Theorem Example 1: Real-World Example: Use the Triangle Angle-Sum Theorem Theorem 4.2: Exterior Angle Theorem Proof: Exterior Angle Theorem Example 2: Real-World Example: Use the Exterior Angle Theorem Corollaries: Triangle Angle-Sum Corollaries Example 3: Find Angle Measures in Right Triangles Lesson Menu

  2. A B C D Classify ΔRST . A. acute B. equiangular C. obtuse D. right 5-Minute Check 1

  3. A B C D Find y if ΔRST is an isosceles triangle withRS  RT. ___ ___ A. 8 B. 10 C. 12 D. 14 5-Minute Check 2

  4. A B C D Find x if ΔABC is an equilateral triangle. A. 2 B. 4 C. 6 D. 8 5-Minute Check 3

  5. A B C D A.ΔABC B.ΔACB C.ΔADC D.ΔCAB 5-Minute Check 4

  6. A B C Classify ΔMNO as scalene, isosceles, or equilateral if MN = 12, NO = 9, and MO = 15. A. scalene B. isosceles C. equilateral 5-Minute Check 5

  7. A B C D Which is not a classification for ΔFGH? A. acute B. scalene C. isosceles D. equiangular 5-Minute Check 6

  8. Concept 1

  9. A B C D Find the measure of 3. A. 95 B. 75 C. 57 D. 85 Example 1

  10. A B C D Find m3. A. 50 B. 45 C. 85 D. 130 Example 3

  11. Find Angle Measures in Right Triangles Find the measure of each numbered angle. Example 3

  12. Concept 3

  13. Use the Exterior Angle Theorem GARDENING Find the measure of FLW in the fenced flower garden shown. mLOW + mOWL = mFLW Exterior Angle Theorem x + 32 = 2x – 48 Substitution 32 = x – 48 Subtract x from each side. 80 = x Add 48 to each side. Answer: So, mFLW = 2(80) – 48 or 112. Example 2

  14. A B C D 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 Example 2

  15. Concept 5

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