Geometry Chapter 6 Test Review m PQL ∠ x = − 9 4, LM x = + 8 2

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Geometry Chapter 6 Test Review 1. Which figure below is NOT a polygon? [A] [B] [C] [D] 8. Which figure below is NOT a regular polygon? [A] [B] [C] [D] 9. For parallelogram PQLM below, if m ÐPML = 83 ° , then 2. The figure below is an example of a(n) _______. m ÐPQL = ______ . 3. The figure shown below _________. 10. Choose the statement that is NOT ALWAYS true. For any parallelogram _______. [A] opposite sides are congruent [B] the diagonals are perpendicular [C] opposite angles are congruent [D] the diagonals bisect each other 4. Which one of the statements below is FALSE? [A] A pentagon has 5 sides. [B] A hexagon has 6 sides. [C] A quadrilateral has 6 angles. [D] An octagon has 8 angles. 11. If ON = 9 x - 4, LM = 8 x + 2, NM = x + 7, and OL = 8 y - 4, find the values of x and y given that LMNO is a parallelogram. O N 5. Consecutive angles in a parallelogram are always ________. 6. (2, 3) and (3, 1) are opposite vertices in a parallelogram. If (0, 0) is the third vertex, then the fourth vertex is _____. 7. Which figure below is NOT a convex polygon? [A] L 12. Find the value of the variables in the parallelogram. [B] 22° [C] M 108° [D] y z
x Geometry Chapter 6 Test Review 13. Which statement is true? [A] All quadrilaterals are parallelograms. [B] All quadrilaterals are squares. [C] All parallelograms are quadrilaterals. [D] All rectangles are squares. 22. If all four sides of a quadrilateral are congruent, the quadrilateral is _______. [A] a trapezoid [B] a rhombus [C] a nonsquare rectangle [D] a kite 23. The figure below is made up of two squares with the areas shown. What is the length of x? 14. The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). Which best describes the quadrilateral? [A] a square [B] a rectangle [C] a parallelogram [D] a rhombus 15. Choose the statement that is NOT ALWAYS true. For a rhombus: ________. [A] each diagonal bisects a pair of opposite angles [B] the diagonals are perpendicular [C] all four sides are congruent [D] the diagonals are congruent 16. The diagonals of a parallelogram always _________. 900 400 x 24. A rectangular garden, 42 feet by 20 feet, is surrounded by a walkway of uniform width. If the total area of the garden and walkway is 1248 square feet, the width of the walkway is _______. 17. Isosceles trapezoid JKLM has legs JK and LM , and base KL. If JK = 4 x - 6, KL = 2 x - 3, and LM = 3 x - 4. Find the value of x. 18. Choose the statement that is NOT always true. For an isosceles trapezoid: _______. [A] the diagonals are perpendicular [B] the base angles are congruent [C] the diagonals are congruent [D] the legs are congruent 19. For the trapezoid shown below, the measure of the midsegment is _______. 22 36 20. Choose the figure below which satisfies the definition of a kite. [A] [B] [C] [D] 21. Which type of quadrilateral has no parallel sides? 25. The area of the parallelogram is _____.
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