1) A quadrilateral is a parallelogram if both pairs of opposite angles are _______. a) Perpendicular b) Skew c) Congruent d) Similar 2) Solve for the unknown x in the proportion x:24 = 6:8 using Means-Extremes Property. a) 9 b) 18 c) 27 d) 36 3) In a parallelogram, consecutive angles are _________. a) Supplementary b) Corresponding c) Congruent d) Parallel 4) Find the length of segment AC and segment BD. If Show your solution. a) AC=18; BD=20 b) AC=16; BD=14 c) AC=12; BD= 13 d) AC=16; BD=12 5) A_______ is a parallelogram if both pairs of opposite angles are congruent. a) Quadrilateral b) Triangle c) Consecutive Angles d) Supplementary Angles 6) What is the value of x that would make would make LOVE a parallelogram? a) 5 b) 6 c) 7 d) 8 7) A _____________ is a quadrilateral with exactly one pair of parallel sides. a) Triangle b) Trapezoid c) Isosceles Triangle d) Isosceles Trapezoid 8) If IALS is an isosceles trapezoid, then which of the following is true? a) LA=LI b) SI=SA c) SL=IA d) LI=SA 9) It refers to the relationship between two quantities. a) Ratio b) Proportion c) Both A and B d) None of the Above 10) Find the missing value in proportion x/44=20/8 a) 55 b) 110 c) 165 d) 220 11) Solve for the unknown a in the proportion a:22 = 10:4 using Means-Extremes Property a) 35 b) 45 c) 55 d) 65 12) If parallelogram LMNO is a square, then what is m∠L+m∠M equal to? a) 90° b) 190° c) 180° d) 80° 13) A parallelogram HATE is constructed with sides AT=7m,HA=10m, and m∠HAT=90° . What is HATE? a) Rhombus b) Square c) Trapezoid d) Rectangle 14) In a kite, the measures of the angles are 4y°, 60°, 110°, 130°. Find the value of y. a) 15 b) 16 c) 17 d) 18 15) The opposite sides of a parallelogram are _________. a) Perpendicular b) Congruent c) Skew d) Supplementary 16) Find x and y so that the quadrilateral is a parallelogram a) x=14 , y=7 b) x=13, y=8 c) x=11,y=10 d) x=10, y=9 17) The following are the similar characteristics of the special parallelograms, EXCEPT a) Each diagonal separates it into two congruent triangles. b) Consecutive angles are supplementary. c) Opposite sides are parallel. d) Diagonals bisect each other and are perpendicular. 18) determine whether the figure is a parallelogram. If so, state the reason. a) Yes, quadrilateral with 1 pair of opposite sides ∥ and ≅. b) Yes, quadrilaterals with 2 pairs of opposite sides are ≅. c) Yes, quadrilaterals with any angle supplementary to both consecutive angles. d) Not a parallelogram. 19) Rhomboid has a longer side of 50 cm long. The size of its one height is four times the size of its second height. Find the length of the shorter side of the parallelogram. a) 15.6 cm b) 12.5 cm c) 10.4 cm d) 9.3 cm 20) In EFGH is a parallelogram, what is the length of FH? a) 20 b) 15 c) 10 d) 5 21) What are the measure of the angles of a parallelogram if two adjacent angles are in ratio 3:6? a) 30°,60°,30°,60° b) 30°,180°,30°,180° c) 45°,60°,45°,60° d) 60°,120°,60°,120° 22) Trapezoid ZOID. What is ∠Z ≅ ∠O? a) Given b) Base Angles Converse c) Corresponding Angles Postulate d) Transitive Property of Congruence 23) A rectangle field has an area of 300 square meters and a perimeter of 80 meters. What is the ratio of the length to the width of this field? a) 5:1 b) 4:1 c) 3:1 d) 2:1 24) There are 600 college students in a University. The ratio of boys to girls in this university is 3:5. How many girls and how many boys are in this university? a) 225 girls, 375 boys b) 357 girls, 252 boys c) 252 girls, 357 boys d) 375 girls, 225 boys 25) Find the other two angle measures in the kite below a) 85°, 85° b) 85°, 95° c) 85°, 70° d) 80°, 80° 26) TRAP is an isosceles trapezoid. So, m∠R=115°. Find the m∠A a) 35° b) 65° c) 95° d) 125° 27) A parallelogram WXYZ is a rhombus. COMPLETE THE TABLE ABOVE. a) SAS congruence postulate, opposite angles are congruent b) SAS congruence postulate, CPCTC c) SSS congruence postulate, CPCTC d) SSS congruence postulate, opposite angles are congruent 28) In the rhombus, m∠1=18x, m∠2=x+y, and m∠3=30z. Find the value of x, y, and z.. a) x=10, y= 85, z=6 b) x=5, y=175, z=6 c) x=10, y=175, z=3 d) x=5, y=85, z=3 29) What is the value of x given; rhombus ABCD with diagonals drawn AE=⅔ x and EC= x-10? a) 30 b) 25 c) 20 d) 15 30) Find the perimeter of a parallelogram if one leg has a measure of 6cm(W) and the diagonal has a measure of 10cm. a) 17 b) 28 c) 39 d) 40 31) Parallelogram ABCD is a rectangle, BE=y+42,and CE=7y. Find y. a) 3 b) 5 c) 7 d) 9 32) What is the m∠XYW if m∠W is 54°. a) 67° b) 57° c) 47° d) 27° 33) Which one of the following condition is not true for a quadrilateral to be a parallelogram? a) Opposite sides should be parallel. b) They should also be equal c) Diagonals should not bisect each other d) Opposite angles should be equal 34) What is the value of x given; rhombus VWXY with diagonals drawn 𝑉𝑍=⅔ 𝑥 and ZX=x-10? a) 15 b) 30 c) 24 d) 37 35) What are the measures of the angles of a parallelogram if two adjacent angles are in ratio 2:4? a) 45°, 30°, 45°, 60° b) 20°, 30°, 40°, 50° c) 60°, 120°, 60°, 120° d) 30°, 180°, 30°, 180° 36) Find the perimeter of a parallelogram if one leg has a measure of 9cm (W) and the diagonal has a measure of 15 cm. a) 44 cm b) 42 cm c) 16 cm d) 14 cm 37) If a parallelogram MATH is a square, then what is m∠ M + m∠ A equal to? a) 120° b) 160° c) 180° d) 90°
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