Chapter Test A continued For use after Chapter 5
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1 HPTE hapter Test For use after hapter is the midsegment of n. Find the value of... nswers Find the coordinates of point in the figure.. (0, 0) (h, k) 0. (h, k) (0, 0) Find the value of. Z 6 E 6 8 D Use the information in the diagram to find. 0. m 90 opright Holt cdougal. ll rights reserved. 8 ( 0)8 48 D 8 90 Geometr hapter ssessment ook
2 HPTE hapter Test continued For use after hapter In n, is the centroid... Find.. Find. nswers... ist the unknown sides or angles in order from smallest to largest Is it possible to construct a triangle with the given side lengths?. 3,, 9 4, 6, 0,, 0 omplete with <, >, or.?? V opright Holt cdougal. ll rights reserved. 08 D 8 0. rrange statements D in order to write an indirect proof of the statement: If Þ 0 and 9, then Þ. 08 T 48 V. ut this contradicts the given statement that Þ Temporaril assume that. D. The contradiction shows that the temporar assumption that is false. This proves that Þ. Geometr hapter ssessment ook 9
3 HPTE hapter Test For use after hapter is the midsegment of n. Find the value of. nswers ee left ee left. Place the figure in a coordinate plane in a convenient wa. Give the coordinates of each verte.. Isosceles right triangle: ectangle: ength is 3 and eg length is width is. In the diagram, the perpendicular bisectors of n meet at point Z. Find the indicated measure. Z Z Z 8 9 Z opright Holt cdougal. ll rights reserved Geometr hapter ssessment ook
4 HPTE hapter Test continued For use after hapter Use the information in the diagram to find. 0. nswers ( 0) 0... In n, is the centroid. Find the indicated length... Find.. Find.. ist the unknown sides in order from smallest to largest opright Holt cdougal. ll rights reserved. 08. triangle has one side of length 0 and another of length Describe the possible lengths of the third side. omplete with <, >, or.?? VU D 8 08 T V U uppose ou wanted to prove the statement If. 0 and, then.. hat temporar assumption could ou make to prove the conclusion indirectl? Geometr hapter ssessment ook 93
5 HPTE hapter Test For use after hapter Use ndef, where J, K, and are midpoints of the sides.. If DE 8 and K 0 9, what is DE?. If J 6 and EF 9 8, what is EK? If DF 8 6 and JK 3, what is JK? E J K D F nswers... Find the value of. G. ( )8 ( 8 ) 8 F J H 3 0 Find the value of that makes P the incenter of the triangle. Z 0... F P H 3 G 34 4 Find the coordinates of the centroid P of ntu. (, ), T(, ), U(, 6) (, ), T(, 6), U(, 4) P 08 Point is the centroid np. Use the given information to find the value of and T 4 P U. V 3 and VP 4 opright Holt cdougal. ll rights reserved.. 4 and U 3 4 T V 94 Geometr hapter ssessment ook
6 HPTE hapter Test continued For use after hapter In the space below, construct a circle through three noncollinear points. nswers ee left.. ist the sides and the angles in order from smallest to largest. 48 Is it possible to build a triangle using the given side lengths? If so, order the angle measures of the triangle from least to greatest.. Ï 3, 3 Ï 0, Ï JK Ï 33, K 4 Ï, J 9 Ï 3 F H 6 48 G 0.. opright Holt cdougal. ll rights reserved. omplete the statement with <, >, or. m? m P? 0 6 Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequalit to describe a restriction on the value of. P (3 8) Geometr hapter ssessment ook 9
7 hapter 4, continued opright Holt cdougal. ll rights reserved. illustrates the student s eplanation of when to use the method.. a. nd and nd are scalene right triangles; n is an acute isosceles triangle; nefg is an obtuse scalene triangle b. It is given that nd and nd are right triangles and >. the efleive Propert, D > D. o, b the H ongruence Theorem, nd > nd. c. D > D; D > D; D > D; > ; D > D ; D > D d. 48 e. (, ) (3, 0) (0, 4) E(0, 4) F(, ) D(3, 0) f. reflection in -ais g. ample answer: Use the Distance Formula to find the side lengths of all three triangles. Then use the ongruence Postulate. hapter uiz ; Perpendicular isector Theorem. 4; oncurrenc of Perpendicular isectors Theorem uiz uiz 3. es. o, 4 < < < < < 3.,, D, E, F < hapter Test (h, 0) h, k ,,,,. es no no < > 0.,,, D hapter Test (0, 0), (0, 3), (3, 0) (0, 0), (0, ), (3, ), (3, 0) ,,,,. 4 < < 6 < > hapter Test (, ) (, ) heck students drawings,,. G, F, H es;,, no < 0. <. < 9 tandardized Test. D. D. 0.. D. 6. and,. a. the Pthagorean Theorem, the distance is Ï 9 miles. b. The tower and the fires form a triangle and the shortest distance between the campgrounds is a midsegment of the triangle. It is parallel to the side measuring miles, so its distance is miles. c. miles; The path is the midsegment that is parallel to the side between the tower and Fire, which measures 9 miles. tandardized Test.. D. D < < 9. a. 4 d b. the Pthagorean Theorem, a b c, so 0 0 c and c < 0. the idsegment Theorem, because the pool and laundr room are midpoints, the distance from the laundr room to the pool is half the distance from the game room to the shower. c. Turn clockwise 38 and walk forward 0. ards. E Geometr ssessment ook 9
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