Find the area of a garden in the shape of a parallelogram that has a base of 16 m long and a height of 10 m. What is asked? Find the area of the garden. What are the given facts? The base of the parallelogram is 16 m long and the height is 10 m. What is the answer? The area of the garden is 160 square meters. What formula will you use to solve the problem? A = base × height What is the number sentence? A = 16 m × 10 m = 160 square meters
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1. In the same figure, what conditions guarantee that the quadrilateral is a parallelogram if ΔDAB ≅ ΔBCD? A. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent. B. A quadrilateral is a parallelogram if both pairs of opposite angles are congruent. C. A quadrilateral is a parallelogram if the diagonals bisect each other. D. A quadrilateral is a parallelogram if each diagonal formed two congruent triangles. 2. What are the measures of the other three angles of the parallelogram (in no particular order) if one of its angles measures 115°? A. 65°, 65°, 115° B. 30°, 60°, 90° C. 60°, 90°, 115° D. 65°,115°, 115° 3. In parallelogram ABCD, if AC + BD = 24 cm, and CE = 5cm, what is the length of BD? A. 5cm B. 7cm C. 10 cm D.14 cm 4. Two opposite angles of a parallelogram measures x + 40° and 3x - 20°, what is the value of x? A. 10 B. 30 C. 60 D. 70 5 A study table in a form of a parallelogram has a perimeter measuring 56 inches. If one pair of the opposite side measures 2x - 5 and x + 3, what are the dimensions of the study table? A. 34 inches x 22 inches B. 17 inches x 11 inches C. 30 inches x 26 inches D. 15 inches x 13 inches 1. How do you describe any two opposite angles in a parallelogram? A. They are always congruent C. They are complementary B. They are supplementary D. They are both right angles 2. Which of the following statement is true? A. Every square is a rectangle C. Every rhombus is a rectangle B. Every rectangle is a square D. Every parallelogram is a rhombus 3. What can you say about any two consecutive angles in a parallelogram? A. They are always congruent B. They are always supplementary C. They are sometimes complementary D. They are both right angles 4. Which of the following quadrilaterals has diagonals that do not bisect each other? A. Square B. Rhombus C. Rectangle D. Trapezoid 5. Which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram? A. Two pairs of sides are parallel. B. Two pairs of opposite sides are congruent. C. Two consecutive angles are supplementary. D. Two diagonals bisect each other. 6. Which of the following is NOT true about rectangles? A. Diagonals are congruent. C. All angles are congruent. B. Diagonals are perpendicular. D. All angles are right angles. 7. How do you call a parallelogram whose all angles are right angles and all sides are congruent? A. Square B. Rectangle C. Rhombus D. Trapezoid 8. Which of the following statements is never true? A. A square is a rectangle C. A rhombus is a parallelogram B. A parallelogram is a rectangle D. A rectangle is a rhombus 9. Which of the following statements is false? A. The diagonals of the rectangle are congruent. B. Diagonals of the rhombus are congruent and perpendicular to each other. C. Opposite angles of a rhombus are congruent. D. Angles of a square are all right angles. 10. How will you describe the diagonals of a rhombus? A. Equal B. Parallel C. Perpendicular D. Congruent
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Find the area of each parallelogram.
Area and Surface Area
Bases and Heights of Parallelograms
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