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Geometry Study Guide for Ch 6 Test VOCABULARY This will be matching on the test. 1. 2. 3. 4. 5. 6. A _____ is a quadrilateral with 2 pair of parallel sides. A _____ is a quadrilateral with 1 pair of parallel sides A _____ is a rectangle with 4 congruent sides. A _____ is a parallelogram with 4 right angles. A ______ is a quadrilateral with 2 pair of consecutive congruent sides. A _____ is a parallelogram with 4 congruent sides. PROPERTIES This will be fill in the blank on the test. 1. 2. 3. 4. 5. For a rectangle, the _____ are congruent. For a rhombus, the diagonals are _____. For a parallelogram, ______ ______ are congruent. For a parallelogram, _____ ______ are suppelementary. For a rhombus, the diagonals _____ the ______ ______. TRUE/FALSE 1. 2. 3. 4. 5. 6. 7. A square is a rectangle. A rectangle is a square. A square is a rhombus. A rhombus is a square. A kite is a quadrilateral. A trapezoid is a parallelogram. A rectangle is a parallelogram. PROBLEMS 8. 9. 10. 11. Find the sum of the interior angles for a heptagon. Find the measure of each interior angle for a regular hexagon. Find the measure of each exterior angle for a regular decagon. Find the value of a below. 12. What is the measure of Angle L? 13. WXYZ is a rectangle. Find the value of x. 14. If ABCD is a parallelogram, what is the measure of AE? 15. ABCD is a rectangle. AD 15, AC 25, and DC 20. Find BD. 16. RSTU is a rhombus. The measure of SRU is 112 degrees. What is the measure of Angle TRU? 17. If the figure below is a trapezoid, what is the measure of Angle A? 18. Find the measure of XY. 19. In kite JKLM, mLMN 25, and mLKN 43. Find mMLK. 20. If the figure below is a rhombus, what is the measure of Angle QRP? ANSWERS TO THE STUDY GUIDE: 1. 2. 3. 4. 5. 6. Parallelogram Trapezoid Square Rectangle Kite Rhombus 1. 2. 3. 4. 5. Diagonals Perpendicular Opposite sides (or angles) Consecutive angles Bisect, opposite angles 1. 2. 3. 4. 5. 6. 7. True False True False True False True Problems 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 900 degrees 120 degrees 36 degrees (360 divided by 10) A = 30 X = 8 so Angle L = 115 degrees X = 6 (remember diagonals are congruent) Y = 2 (diagonals bisect each other) so AE = 12 BD is the same as AC, so BD = 25. (the diagonals are congruent) 56 degrees (112 divided by 2, the diagonals bisect the angles) The measure of Angle D is 104 degrees, b/c Angles C and D are consecutive interior angles and are supplementary (180 – 76). Angle A is the same as Angle D, b/c base angles of an isosceles trapezoid are congruent. So Angle A is 104 degrees. 18. 72 [(47 + 97)/2] 19. 112 degrees (use the triangle sum theorem, add 25 and 43 then subtract from 180) 20. 51 degrees (use the triangle sum theorem and defn of a rhombus, 180 – 78, then divide that by 2)