Benchmark Test Find the measure of angle MNQ.

Transcription

1 Name lass ate enchmark Test 3 Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 1. In a field, Raja, Mar, and Miguel are standing in the shape of a triangle. Raja is 18 feet from Mar and Mar is 13 feet from Miguel. Which of the following is a possible distance between Raja and Miguel? 13 feet 71 feet 88 feet 307 feet. On a map, Meridian, irmingham, and Montgomer form a triangle. Meridian is 109 miles from irmingham and irmingham is 91 miles from Montgomer. Which of the following is not a possible distance between Montgomer and Meridian? 18 miles miles 13 miles 00 miles 3. and 7 represent the lengths of the sides of a triangle. ive all possible lengths for the third side if the lengths of the sides are all integers. 6, 7, 8, 9, 10, 11, 1 3,,, 6, 7, 8, 6, 7, 8,, 6, 7, 8, 9, 10. SU, RW, and VT are medians. ind the length of XT. R V U X S W T. ind the measure of angle MNQ. 6. M If ou know that E6, and that and E are midpoints, which of the following guarantees that = E? Triangle Midsegment Theorem Median-ltitude Theorem PT efinition of triangle bisector 7. Which of the following is an illustration of a median? N R 6 Q E P enchmark Test 3 eometr 19

2 Name lass ate 8. Which triangle bisectors are concurrent at a point equidistant from the sides of the triangle? angle bisectors perpendicular bisectors of the sides medians altitudes 11. What is the center of a circle that passes through the following points: (, ), (, ), and (6, )? (, ) (, 0) (0, ) (0, 0) 9. Which segment is the altitude of the largest triangle in the diagram? E E O E 10. Use the diagram to locate the center of the circle that ou can circumscribe about the triangle shown. (, 1) (, ) (3, ) (3, 3) E Use the diagram to locate the center of the circle that ou can circumscribe about the triangle shown. (1, 3) (.,.) (3, 1) (3.,.) 13. What is the point of concurrenc of the altitudes of a triangle? circumcenter incenter orthocenter centroid 1. Which of the following can be used to circumscribe a circle about a triangle? 6 O circumcenter incenter orthocenter centroid 6 Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 0 eometr enchmark Test 3

3 Name lass ate 1. Which of the following can be used to inscribe a circle in a triangle? circumcenter incenter orthocenter centroid 18. ind the values of the variables for the kite in the figure. 9 9 Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 16. The quadrilateral shown is a parallelogram. ind the value of Quadrilateral UVWX is a rhombus. What is the value of b? X (b) U (6 ) (b 0) (3 7) (a 180) (a 30) W V = 9, = = 7, = 3 = 3, = 7 =, = 19. Sam is making a kite in the shape of a rhombus. Use the kite plan shown to determine how long, in feet, the longest diagonal needs to be feet.0 feet 3.0 feet.0 feet enchmark Test 3 eometr 1

4 Name lass ate 0. ind the value of in parallelogram I. I The diagonals of parallelogram MT bisect each other. What is the length of O? M Which of the following would prove that quadrilateral QRST is a parallelogram? T ( 0)º (7 0)º Q P QR > ST QR6ST QP > PS and TP > PR Two pairs of sides are congruent. O S R 11 T 3. ircus elephants perform tricks on crates with sides that form quadrilaterals. In order to maimize the amount of weight that the crate can hold, the quadrilaterals must meet the following requirements: I. Eactl one pair of opposite sides should be parallel. II. The base angles must be equal. III. The sides that are not parallel must be equal to each other. What kind of quadrilateral should the circus owner order? a kite a square a parallelogram an isosceles trapezoid. ind the perimeter of the parallelogram. Leave our answer in simplest radical form " units 6 1 " units " units 6 1 " units. In order to determine the area of a trapezoid, ou must know the height. What is the height of the trapezoid shown? 3!! 8 13 Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. eometr enchmark Test 3

5 Name lass ate 6. The quadrilateral below is a kite. What is the area of the figure? 9. The figure shown is a kite. What is the -coordinate of point P? 3 3 P (a, 1) (a, 1) 8 Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 1 square units square units 30 square units 36 square units 7. rhombus has base angles of 608 and 108. The length of each side is 16. What is the area of the rhombus? Round our answer to the nearest tenth square units square units 1.7 square units 6.0 square units 8. iven the figure below, what can ou conclude? (, ) (, 0) O n is scalene. n is equilateral. n is right. (, ) n is none of these. a 1 a 1 a 1 a ind the midpoint of the midsegment of the trapezoid if = (s, t), = (u, t), and = (v, 0). (0, 0) (t + u + v, t) (s + u + v, t) (u + v, t) (s + u,t + t) enchmark Test 3 eometr 3

6 Name lass ate 31. Quadrilateral KLM has vertices (, 1), K(-1, ), and L(6, ). or what coordinates of point M is KLM a parallelogram? (3, ) (3, 1) (, 0) (, 1) 33. The coordinates of three vertices of a parallelogram are (0, 0), (8, ), and (1, 7). Which of the following is not a possible fourth verte? (7, ) (3, 8) (3, 1) (7, ) 3. Which of the following would ou not use to prove that quadrilateral is an isosceles trapezoid? The distance from to is equal to the distance from to. The slope of segment is equal to the slope of segment. The distance from to is equal to the distance from to. The slope of segment is not equal to the slope of segment. Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. eometr enchmark Test 3