C The measure of AB is twice the measure of COD. The measure of AB is thrice the measure of CO.6. A carpenter is building a trapezoidal-shaped shelf for aclient. The shelf has a shorter base of length 30 cm, alonger base of length 50 cm,and a height of 20 cm . Theclient wants to know the length of the mid-segment ofthe shelf to determine how much storage space it willhave. To find out the carpenter adds the lengths of thebases and divides by two. What is the length of the mid-segment of the trapezoidal-shaped shelf?A. 40 cm B. 45 cmC. 50 cm D. 55 cmSarah has a square handkerchief and she wants to findout the length of its diagonals. She measures the lengthof one diagonal and gets a result of (y+10) cm,andthen measures the length of the other diagonal and getsa result of (2y-5) cm. What is the value of y?A. x=15B. y=20C y=25 D y=30A table cloth is cut into a parallelogram in which twoopposite angles measure(8x-33)^circ and (5x+15)^circ ?Find the measures of all the angles100^circ ,100^circ ,80^circ ,80^circ 9.A map is drawn to the scale of 1 cm: 150 m If theD 85^circ ,95^circ ,100^circ ,80^circ distance between towns A and B measures 8.5 cm onthe map, determine the approximate distance betweenthe towns.LONG TEST in MATH 9 (SET A)1. Daniel is trying to determine whether the quadrilateral hedrew is a parallelogran 1. He named it as DABCD.Hemeasured the angles and found that angle A measures120 and angle B measures 60^circ Based on themeasurements provided what condition is met forDaniel's quadrilateral to be a parallelogram?B. Consecutive angles are supplementary.C. Opposite angles are congruent.2. A parallelogram is a type of quadrilateral In order for aquadrilateral to be classified as a parallelogram, it musthave one condition which is having a pair of oppositesides that are __D. Perpendicular and Not Congruent3. John is learning about quadrilaterals in his geometryclass. He has learned that squares, rectangles,rhombuses, and parallelograms are all types ofquadrilaterals. His asks him to identify which ofthe following statements is true.A. Every square is a rectangle.D. Every parallelogram is a thombus.4. A group of engineers is working on a solar panel project.They need to determine the height of a nearby tower tocalculate the amount of sunlight it will block during theday. To do this they measure the shadow of a 9 mvertical pole, which is 5 m long. At the same time, theymeasure the shadow of the tower, which is 100 m long.What is the height of the tower?A. 100 mB. 180 mC.300 mA. 2175 m B. 1725 cm C. 1275 cmD. 2715 cm10. A recipe calls for 2 cups of flour for every 3sugar. If you want to use 6 cups of sugar, hocups of flour should you use?A. 2 cups B. 3 cupsC. 4 cupsD. 8 cups11. Triangle DEF is similar to triangle GHI with side Dcm,side EF=10 cm. and side GH=12cm Whatlength of side HI?A. 6 cmB. 7.5 cmC. 9 cmD. 1512. The altitude of the hypotenuse of a right triangle divithe hypotenuse into segments of lengths 4 cm andcm. What is the length of the altitude?A. 10 cm B. 21 cm C. 29 cm D.100 am13. A 12-meter fire truck ladder leaning on a vertical fencalso leans on the vertical wall of a burning three-storeybuilding. How high does the ladder reach?A. 6 mE16. What values of x and y guarantee that QuadrilatABCD is a parallelogram?A.x=84".DD. 30cm19. What theorem states that, "The segment thatmidpoints of two sides of a triangle is parallel toside and half as long "?A. Similarity TheoremB. Triangle Midline TheoremD. Altérnate Interior Angles Theorem20. A property of an isosceles trapezoid in whichcongruent diagonals is the same prop__A

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### Answer

1. C. Opposite angles are congruent.<br />2. A. Parallel and Congruent<br />3. A. Every square is a rectangle.<br />4. B. 180 m<br />5. C. The measure of AB is twice the measure of CO<br />6. A. 40 cm<br />7. B. $y=20$<br />8. A. $95^{\circ },95^{\circ },85^{\circ },85^{\circ }$<br />9. B. 1725 cm<br />10. C. 4 cups<br />11. C. 9 cm<br />12. A. 10 cm<br />13. B. 9 m<br />14. B. I only<br />15. E. Diagonals of a parallelogram bisect each other.<br />16. Not provided in the question.<br />17. A. 7<br />18. B. 20 cm<br />19. B. Triangle Midline Theorem<br />20. B. rhombus

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