MATH-G 2016 Geometry Unit 8 Test G.9 Exam not valid for Paper Pencil Test Sessions

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1 MATH-G 2016 Geometry Unit 8 Test G.9 Exam not valid for Paper Pencil Test Sessions [Exam ID:1JE00L 1 Parallelogram ABCD is a rhombus with m EBC = 36. What is the m DAE? A 36 B 54 C 108 D 144

2 2 The diagonals of rectangle KLMN intersect at the point (2, 1). One of the vertices of rectangle KLMN is located at (-4, 5). Which of the following could be the location of another vertex of this rectangle? A (8, -3) B (3, -1) C (-2, 3) D (-10, 9) 3 Directions: Click on all the correct answers. Select each property that is valid about the diagonals of a square. The diagonals of a square are perpendicular bisect each other are congruent are not perpendicular do not bisect each other are not congruent 4 Which shape must have opposite sides that are parallel and congruent, and diagonals that are perpendicular bisectors of each other? A Parallelogram B Rectangle C Rhombus D Trapezoid

3 5 The quadrilateral ABCD is a parallelogram. Which of the following pieces of information would suffice to prove that ABCD is a rectangle? A A and D are supplementary B AC = BD C AB = AD D m B = m D 6 What is the value of x in rectangle DEFH? A 15 B 10 C 29 D 8 7 In parallelogram WXYZ, m Z =73. What is the measure of W? A 90 B 17 C 73 D 107

4 8 Polygon ABCD is a quadrilateral. Which of the following pieces of information would prove that ABCD is a parallelogram? A AB DC, BC AD B AB BC, CD DA C A = C D AC BD 9 Directions: Click on a box to choose the answer you want to select. You must select all correct answers. Quadrilateral ABCD is a rectangle. If the coordinates for the given rectangle are A (- 2, -2) and B (1, 2), identify possible coordinates for C and D. C (2, -1), and D (-1, -5) C (3, 0), and D (0, -4) C (-1, 4), and D (-4, 0) C (-3, 5), and D (-6, 1) C (5, -1), and D (2, -5)

5 10 In parallelogram WXYZ, what are the coordinates of the point of intersection of WY and ZX? A (3.5, 3.5) B (2.5, 2.5) C (7.5, 3.5) D (5.5, 3.5) 11 Ben's garden, labeled DEFG in the drawing, is a parallelogram and is adjacent to the garage ΔDGH. If the gate KE opens to EL, how many degrees does the gate open up? A 128 B 38 C 142 D 52

6 12 Quadrilateral JKLM is a parallelogram. The coordinates for the given parallelogram are J (-3, 1), K (-1, 4), and L (4, 3). If the coordinates for M are (2, y ), what is the value of y? A 1 B -1 C 0 D 2 13 Quadrilateral PQRT is inscribed in a circle and the measure of Q = 54. What is the measure of T? A 126 B 90 C 54 D 36

7 14 The town plaza in a certain town is a parallelogram. The town s planning committee has decided to build a fountain at the center of the plaza. This sketch shows the corner points when placed on a coordinate grid. Which coordinates show where the fountain will be located? A (1.5, 1) B (2, 0.5) C (0.5, 2) D (3, 1.5) 15 ABCD is a parallelogram. Which of the following is NOT true? A AD BC B AG GC C AD // BC D AG GC

8 16 Gene s horse corral, labeled ABCD in the drawing, is shaped as a parallelogram and is adjacent to the shed, labeled ZAD. If a gate, labeled CF, opens all the way to the corral fence, position labeled CG, through how many degrees does the gate swing? A 130 B 50 C 40 D ABCD and DECF are both squares. If AC = 28 millimeters, what is the perimeter of DECF? A 28 mm B 14 mm C 42 mm D 56 mm 18 A rectangular rug is 24 feet long and 10 feet wide. A rhombus design is formed inside the rug by joining the midpoints of each side of the rectangle. What is the length of each side of the rhombus? A 240 ft. B 26 ft. C 169 ft. D 13 ft.

9 19 Directions: Type your answer in the box. Given: Parallelogram QRST where QR = 6x -5 and RS = 4x + 13 What value of x proves this parallelogram is a rhombus? x = 20 1 In rectangle ABCD, the slope of AB is. What is the slope of CD? 2 A 2 B -2 C 1 2 D What statement is sufficient to prove that a quadrilateral is a square? A Opposite sides are congruent and parallel B All four sides are congruent C All four sides are congruent and all four angles are 90 D All four angles are right angles 22 Polygon TRIG is a quadrilateral. Which of the following pieces of information would prove that TRIG is a parallelogram? A GO OR, TO OI B GT IR C GI TR D GR TI

10 23 Quadrilateral PQRS is inscribed in a circle. What is the measure of angle R? degrees 24 Rectangle LMNO represents a park that has walking paths LN and MO that intersect at P. The length of PN is 195 feet, and the length of MN is 360 feet. What is the length of MO, one of the walking paths? A 195 ft B 150 ft C 360 ft D 390 ft

11 25 Look at the graph. Which of the quadrilaterals in the graph is a trapezoid? A Quadrilateral B B Quadrilateral A C Quadrilateral D D Quadrilateral C 26 Quadrilateral TUVW is shown. If TUVW is reflected across the line y = x, what are the coordinates of V'? A (8, -3) B (3, 8) C (-3, -8) D (-8, 3)

12 27 Triangle ABC is reflected across the x -axis and then reflected across the y -axis to create ΔA'B'C'. What are the coordinates of A'? A (-4, -1) C (-1, -4) B (-2, -4) D (-1, 4) 28 In this figure, parallel lines a and b are intersected by line c. Which pair of angles is NOT supplementary? A 1 and 6 B 3 and 8 C 2 and 7 D 4 and 6

13 29 Which diagram shows a pair of angle measures that prove lines a and b are parallel? A C B D 30 A totem pole casts a 20 meter shadow when the angle of elevation of the sun is 45. What is the distance from the top of the totem pole to the end of the shadow? A 40 meters B 20 3 meters C 20 meters D 20 2 meters