MATH-G FMS Fitch Geo G5 Ch 5 Triangle Inequalities Test Exam not valid for Paper Pencil Test Sessions

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1 MATH-G FMS Fitch Geo G5 Ch 5 Triangle Inequalities Test Exam not valid for Paper Pencil Test Sessions [Exam ID:L8YFBJ 1 In ΔABC, m A = 100, m B = 30, and m C = 50. Which lists the sides from largest to smallest? A BC, AC, BA B AC, BA, BC C AB, BC, AC D BC, BA, AC 2 Tony sketched a drawing of a building he is designing. Which support board is the shortest? A EH B DH C DE D HF

2 3 In the diagram below, which side is shortest? A BD B CA C CB D AD 4 In ΔABC below, which of the following is true? A BC > AB > AC B AC > BC > AB C AB > AC > BC D AC > AB > BC 5 From smallest to largest, the angles ofδ PQR are A B C D

3 6 Three survey markers are located on a map at points H, I, and J. A triangle is formed by connecting these markers by string so that HI = 150 feet, HJ = 245 feet, and IJ = 365 feet. Which statement is true about the measures of the angles of ΔHIJ? A m H is the smallest B m I is the largest C m H is the largest D m I is the smallest 7 The layout for a kitchen floor required four different triangular shapes. When the trianglular shapes were measured, which triangular shape was measured incorrectly? A Yellow shape: 4 ft, 6 ft, 4 ft B Blue shape: 2 ft, 5 ft, 6 ft C Green shape: 3 ft, 7 ft, 5 ft D Red shape: 3 ft, 2 ft, 5 ft

4 8 Fred is building a model of the bridge shown and he needs to make the triangular support ABC. He has several different pieces of wood at various lengths. Which of the following three pieces of wood will work for support ABC? A 16 in., 9 in., 7 in. B 7 in., 9 in., 5 in. C 6 in., 9 in., 2 in. D 2 in., 9 in., 7 in. 9 If you are given different lengths of boards to build a triangular frame, which three lengths can be used? A 2 ft, 1 ft, 3 ft 1 1 B 4 ft, 2 ft, 1 ft C 1 ft, 1 ft, 2 ft. 2 D 5 ft, 2 ft, 2 ft 10 The sum of three side lengths is 210. The three lengths are represented by the expressions (5x - 10), (6x - 1), and (8x + 12). Find the value of x and then determine whether the lengths could form a triangle. A x = 13; Yes C x = 9; No E x = 11; Yes B x = 13; No D x = 9; Yes F x = 11; No

5 11 Drag and drop your choices into the empty boxes. You must correctly place all 3 answers. Find the proper side lengths for ΔFGH. 12 Four boards were given to Sam to build a triangular picture frame for a large painting. Which of these boards could be used for his project? A A, B, and C B D, C, and A C D, C, and B D A, B, and D

6 13 Look at the map. City A, City B, and City C form a triangle. Which of the following could possibly be the distances between the three cities? A 60 mi., 110 mi., 180 mi. B 120 mi., 160 mi., 50 mi. C 165 mi., 40 mi., 115 mi. D 210 mi., 130 mi., 70 mi. 14 Click on the box(es) you wish to select. You must select all correct answers. You have a wooden dowel rod that is 18 cm long. With which two other dowel rods can you create a triangle? 5 cm and 45 cm 5 cm and 11 cm 45 cm and 53 cm 30 cm and 62 cm 77 cm and 77 cm 11 cm and 27 cm 15 Hannah is putting a border around her triangular garden. Two sides of the garden have the lengths of 12 feet and 17 feet. Between which two numbers must the third side of the garden fall? A 1.5 < x < 204 B 5 x 29 C 1.5 x < 204 D 5 < x < 29

7 16 Tom is planning a trip to three different cities this summer. When looking at a map, Tom has drawn in two of the distances between these cities. Between which two numbers must the distance be between city B and city C? A 4 x 806 B 1 x < 200 C 1 < x < 200 D 4 < x < Directions: Click on a box to choose the answer you want to select. You must select all correct answers. Given: Triangle WTR with WT = 13 and WR = 21. Identify possible lengths for TR Type a single letter (J, F, or H) to indicate your angle choice. Given: ΔJFH, with J (-2, 7), F (4, 7), and H (-2, -1). Which angle has the smallest measure?

8 19 Click on the answer(s) you wish to choose. You must select all correct answers. ΔLMN? Which statement(s) is/are true for m N > m M m L < m N m L > m N m L < m M 20 Click on the answer(s) you wish to choose. You must select all correct answers. Two sides of a triangle measure 14 inches and 8 inches. Which can be the length of the remaining side? 6 in 8 in 22 in 21 in 14 in 21 According to the Venn diagram, which is true? A Some equiangular triangles are not acute. B No equiangular triangles are acute. C All equiangular triangles are acute. D All acute triangles are equiangular.

9 22 Which point lies on the perpendicular bisector of BC? A Point W B Point X C Point Z D Point Y