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GPS Geometry w/ Support Unit 1: Geometry Gallery Review Name: ________________________ Date: ______________ Period: ____ Learning Goal #2: ANGLES MM1G3.a,b Determine the sum of interior and exterior angles in a polygon, and understand and use the triangle inequality, the side-angle inequality, and the exterior-angle inequality. Answer each question below. You must show your work for full credit. 1.) What 4 things have to be true for a figure to be a polygon? Draw some examples of polygons 2.) a. Name all the polygons by number of sides (up to 10) b. What makes a polygon concave? Draw one below. c. What makes a polygon regular? 3.) Using a hexgon: a. Find the sum of the interior angles b. Find the measure of one interior angle c. Find the measure of one exterior angle and non-polygons 4.) The sum of the measures of the interior angles of a convex polygon is 14400. Classify the polygon by the number of sides. 5.) Find the measure of the missing angle in the pentagon below. 92o 106 o 89o 72o 6.) Use the figure to the right to answer the following questions. a. Solve for x in the polygon at right. b. Name the largest angle in the polygon. 7.) Find the value of x in the hexagon below. 58o 61o x 64o o 45o 27o Multiple Choice: Please show your work for partial credit opportunities. 8.) In ABC, mA = 58 and mB = 65. Which of the following is a valid conclusion? 9.) Refer to PQR shown at right. List the angles in order from P least to greatest measure. 18 6 R 15 Q 10.) In right triangle FGH, mF = 45 and mG = 87. List the sides of the triangle in order from greatest to least measure. 11. Can the following be the measure of the sides of a triangle? A. 3, 4, 6 B. 3, 6, 9 C. 4, 5, 10 D. 4, 7, 10 12. If the measures of two sides of a triangle are 5.6 inches and 7.9 inches, what are the possible lengths of the third side? 13. In LMN , LM = 16.1 and MN = 5.6. Find the range of possible measures for LN. Find the value of x. 15. 14. x 2 x (3x - 22) 50 2x 16. 17.) How does angle 1 compare to angle 2? How does it compare to angle 3?