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Quadrilaterals Review 1. Which statement is false? 1) 2) 3) 4) 2. A builder is building a rectangular deck with dimensions of 16 feet by 30 feet. To ensure that the sides form 90° angles, what should each diagonal measure? 1) 2) 3) 4) 3. All parallelograms are quadrilaterals. All rectangles are parallelograms. All squares are rhombuses. All rectangles are squares. 16 ft 30 ft 34 ft 46 ft In the accompanying diagram of rectangle ABCD, What is 1) 2) 3) 4) 4. and ? 12 37 40 50 In rectangle ABCD, and . Find the length of . . 5. As shown in the accompanying diagram, a rectangular gate has two diagonal supports. If , what is ? 6. In rhombus ABCD, the measure, in inches, of of inches in the length of . 7. Which quadrilateral has diagonals that always bisect its angles and also bisect each other? 1) 2) 3) 4) 8. and is . Find the number rhombus rectangle parallelogram isosceles trapezoid The diagonals of a quadrilateral are congruent but do not bisect each other. This quadrilateral is 1) 2) 3) 4) 9. is an isosceles trapezoid a parallelogram a rectangle a rhombus Given three distinct quadrilaterals, a square, a rectangle, and a rhombus, which quadrilaterals must have perpendicular diagonals? 1) 2) 3) 4) the rhombus, only the rectangle and the square the rhombus and the square the rectangle, the rhombus, and the square 10. Which reason could be used to prove that a parallelogram is a rhombus? 1) 2) 3) 4) 11. In rhombus ABCD, the diagonals the length of ? 1) 2) 3) 4) 12. Diagonals are congruent. Opposite sides are parallel. Diagonals are perpendicular. Opposite angles are congruent. and 7 10 13 17 In the diagram below of rhombus ABCD, What is 1) 2) 3) 4) intersect at E. If 40 45 50 80 ? . and , what is 13. In the diagram below, MATH is a rhombus with diagonals If 1) 2) 3) 4) 14. , what is and . ? 12 78 84 156 In the diagram below, quadrilateral STAR is a rhombus with diagonals intersecting at E. , , , , , . Find SR, RT, and . and , and