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Chapter 7 Review

Chapter 7 Review. Fill in the table. Fill in the table. Give the formula. Sum of interior angles Sum of exterior angles Number of diagonals One exterior angle of a regular polygon One interior angle of a regular polygon. Solve the following problems (no graphing calculator).

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Chapter 7 Review

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  1. Chapter 7 Review

  2. Fill in the table

  3. Fill in the table

  4. Give the formula • Sum of interior angles • Sum of exterior angles • Number of diagonals • One exterior angle of a regular polygon • One interior angle of a regular polygon

  5. Solve the following problems (no graphing calculator) • If a polygon has 10 sides, what is the sum of its angles?

  6. Solve the following problems (no graphing calculator) • Four of the angles of a five-sided polygon are 82, 150, 78, and 118. What is the measure of the fifth angle?

  7. Solve the following problems (no graphing calculator) • What is the measure of each exterior angle of a regular 20-gon?

  8. Solve the following problems (no graphing calculator) • If one of the angles of a regular polygon measures 120, then how many sides does the polygon have?

  9. Solve the following problems (no graphing calculator) • If the sum of the measures of the angles of a polygon is 720, then how many sides does it have?

  10. Solve the following problems (graphing calculator allowed) • The ratio of the angles of a triangle are 5:6:7. Find the measure of the smallest angle.

  11. Solve the following problems (graphing calculator allowed) • Find the number of diagonals in a heptagon.

  12. Solve the following problems (graphing calculator allowed) • In ∆ACD, B and E are midpoints. Find the perimeter of ∆ABE. A 4 3 3+4+6=13 6 B E 4 3 C D 12

  13. Solve the following problems (graphing calculator allowed) • If ∠MTH is twice times as large as ∠A and ∠M=50, then find the measure of ∠MTA. M 50 2x x A T H

  14. Always, Sometimes, Never • An equiangular triangle is isosceles. • The number of diagonals in a polygon is the same as the number of sides. • If the number of sides of a polygon increases, then the sum of the exterior angles increases. • The exterior angle of a regular polygon is greater than the measure of an interior angle.

  15. True/False • Every polygon has diagonals. • The No-Choice Theorem is a method to prove triangles congruent. • If the number of sides of a polygon increases, then the sum of the interior angles increases. • In a regular polygon the interior angles are supplementary to the exterior angles.

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