MATH-G
Polygons and Circles Packet
Exam not valid for Paper Pencil Test Sessions
1
[Exam ID:24EKGT
Directions: Click on a box to choose each answer you want to select. You must select all correct answers.
This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents students who play only the flute and the oboe.
Region 1
Region 3
Region 6
Region 9
Region 11
Region 2
Region 4
Region 7
Region 10
Region 13
2
Which of the following statements must be true about this Venn diagram?
A All rectangles are rhombi.
B All quadrilaterals are rhombi and rectangles.
C Some rhombi are rectangles.
D Quadrilaterals are not rhombi or rectangles.
3
Which Venn diagram represents all the following set of statements? • Some triangles are acute. • Some triangles are obtuse. • No triangle is both acute and obtuse. • Some acute triangles are equilateral.
A
C
B
D
4
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 =
5
Parallelogram ABCD is a rhombus with m ∠
∠ EBC = 36°. What is the m ∠
∠ DAE ?
A 36°
B 54°
C 108°
D 144°
6
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)
7
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 26 ft.
B 13 ft.
C 169 ft.
D 240 ft.
8
Which figure has all sides of equal measure but not necessarily all angles of equal measure?
A Rhombus
B Trapezoid
C Square
D Rectangle
9
In rectangle ABCD, the slope of AB is A -
1 . What is the slope of CD ?
2 1 2 B 2
C -2
1 D
2 10 DEFG is a rhombus with m∠
∠ EFG = 28º. What is m∠ GDE?
A 56º
B 28º
C 30º
D 14º
11
In parallelogram ABCD , the measure of ∠
∠ C is —
A 97.5°
B 120.0°
C 82.5°
D 130.0°
12 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
B
C
D
150 ft
390 ft
360 ft
195 ft
13 Which of the following quadrilaterals is not a parallelogram?
A Rectangle
B Rhombus
C Square
D Trapezoid
14
In the drawing above, what must be the coordinates of D to show ABCD is a square?
A (7, 7)
B (4, 7)
C (4, 4)
D (4, 5)
15 A polygon is shown. What is the measure of ∠
∠U ?
A 60°
B 90°
C 120°
D 240°
16 This figure shows a pattern of triangles and regular hexagons. What is the value of x ?
A 30
B 60
C 120
D 90
17
Given the polygon shown above, m ∠
∠ A + m ∠
∠ F + m ∠
∠ E + m ∠
∠ D + m ∠
∠ C + m ∠
∠B =
A
B
C
D
540°
720°
900°
360°
18 When tiles are tessellated in a plane, what angle measure sum is required of the tiles surrounding a single point?
A 720°
B 90°
C 180°
D 360°
19 Given: Circle J What is the value of y ?
A 38
B 50
C 88
D 92
20 What is the measure of ∠
∠ C in quadrilateral ABCD ? A
B
C
D
86°
46°
96°
56°
21
In the circle, what is the measure of ∠
∠ ABC ?
A 140º
B 60º
C 120º
D 30º
22 What is ∠
∠ DAR in circle A ? A
B
C
D
17º
56º
34º
68º
23 Two chords intersect with the measures shown in the drawing. What is the value of x ?
A 10.0
B 8.0
C 14.5
D 9.5
24
A
B
C
D
180°
90°
135°
45°
25 Given: Circle P Which is closest to the area of the shaded sector of circle P ?
A 11 cm2
B 28 cm2
C 50 cm2
D 78 cm2
26 An architect used this diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70° to determine the length of railing needed for the balcony. Which is closest to the length of railing needed for the curved section of the balcony?
A 24 ft
B 49 ft
C 251 ft
D 977 ft
27
The area of the shaded sector of circle O is —
A 25π
B 20π
C 5π
D 50π
28 Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O ?
A (-6, -5)
B (-2, -2)
C (6, 4)
D (8, 8)
29 Directions: Type your answer in the box.
Identify the coordinates of the center of the circle by the equation (x + 4)2 + (y - 5)2 = 32. Place comma between coordinates. ()
30 Given: Circle P with center at (-4, 1) Which equation could represent circle P ?
A (x - 4)2 + (y - 1)2 = 41
B (x - 4)2 + (y + 1)2 = 41
C (x + 4)2 + (y - 1)2 = 41
D (x + 4)2 + (y + 1)2 = 41
31 The circumference of circle C is 144π A
B
C
D
8π
96π
16π
48π