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Transcript
Geometry Chapter 6 Review Name _________________________ Please remember to show all work when possible!!! 1) The SUM of the measures of the INTERIOR angles of an OCTOGON is _______° 2) The measure of EACH INTERIOR angle of a REGULAR DECAGON is ______° 3) The measure of EACH EXTERIOR angle of a REGULAR HEPTAGON is ______° 4) List all possible names for each polygon and circle the most specific name. 5) Tell whether each figure is a polygon. If it is a polygon, name it by its number of sides. For problems 6-7, solve for the variables in the parallelograms. Show all work. 6) A (6c – 6)° (4p)° B 7) A 9 – 6x B 3p D 5p – 8 30° C D 2x – 7 C 8) The angles of a hexagon measure x°, 2x°, 2x°, 3x°, 4x°, and 8x°. What is the measure of the smallest angle? Use the information given in each of these figures to find the measures of the indicated angles. 2 50° 9) 10) 2 1 3 70° 4 1 11) Given that GOAT is a rectangle, determine if the following are true or false: S a) GA = TO _________ b) GO = OA _________ T c) GS = SA _________ d) SA = OS _________ e) ST = SA _________ Given that ABCD is a rhombus for questions 12-13, find the following: 12) O G m ∠ AEB = ______ & m ∠ CEA = ______ 13) If m ∠ BCD = 35°, then m ∠ ACB = _______ and m ∠ ADC = _______ 14) Solve for a. 15) Find the length of midsegment XY in trapezoid PQRS: 16) Position a rectangle with side lengths of c and p on the axis to the right and give the coordinates of each vertex. A 17) QRST is a rhombus. What is m∠RST? 18) Solve for the variables in the rectangle. x° 58° y° 19) BD = 7x − 0.5 and AC = 5x + 2.3. Find the value of x so that ABCD is isosceles. 20) Solve for x in this parallelogram. 21) Find the length of EI in the kite. 22) Draw an example of each of the following: a) a concave polygon b) a convex polygon 23) Give the coordinates of the unnamed vertices in trapezoid ABCD without introducing any new variables. c) a regular polygon D(w,h) A(___,___) C(______,____) B(p,____)