math-g exam [e-24ekgt] polygons and circles packet · this venn diagram represents students who...

14
MATH-G Polygons and Circles Packet Exam not valid for Paper Pencil Test Sessions [Exam ID:24EKGT 1 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

Upload: others

Post on 19-Jul-2020

21 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

MATH-G

Polygons and Circles Packet

Exam not valid for Paper Pencil Test Sessions

[Exam ID:24EKGT

1 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

Page 2: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

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

Page 3: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

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°

Page 4: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

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 RhombusB TrapezoidC SquareD Rectangle

Page 5: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

9

In rectangle ABCD, the slope of AB is  . What is the slope of CD ?1 2 

A -1 2 

B 2C -2

D 1 2 

10 DEFG is a rhombus with m∠∠∠∠EFG = 28º. 

 

  What is m∠∠∠∠GDE?A 56ºB 28ºC 30ºD 14º

11

  In parallelogram ABCD , the measure of ∠∠∠∠C is —A 97.5°B 120.0°C 82.5°D 130.0°

Page 6: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

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 150 ftB 390 ftC 360 ftD 195 ft

13 Which of the following quadrilaterals is not a parallelogram?

A RectangleB RhombusC SquareD 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)

Page 7: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

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 30B 60C 120D 90

Page 8: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

17

  Given the polygon shown above, m ∠∠∠∠A + m ∠∠∠∠F + m ∠∠∠∠E + m ∠∠∠∠D + m ∠∠∠∠C + m ∠∠∠∠B =A 540°B 720°C 900°D 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 38B 50C 88D 92

Page 9: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

20 What is the measure of ∠∠∠∠C in quadrilateral ABCD ? 

 

A 86°B 46°C 96°D 56°

21

  In the circle, what is the measure of ∠∠∠∠ ABC ?A 140ºB 60ºC 120ºD 30º

Page 10: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

22 What is ∠∠∠∠DAR in circle A? 

 

A 17ºB 56ºC 34ºD 68º

23 Two chords intersect with the measures shown in the drawing. 

 

  What is the value of x ?A 10.0B 8.0C 14.5D 9.5

Page 11: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

24

 

A 180°B 90°C 135°D 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

Page 12: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

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 ftB 49 ftC 251 ftD 977 ft

27

  The area of the shaded sector of circle O is —A 25πB 20πC 5πD 50π

Page 13: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

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 = 41B (x - 4)2 + (y + 1)2 = 41C (x + 4)2 + (y - 1)2 = 41D (x + 4)2 + (y + 1)2 = 41

Page 14: MATH-G Exam [E-24EKGT] Polygons and Circles Packet · This Venn diagram represents students who play instruments in the orchestra. Identify each region of the Venn diagram that represents

31 The circumference of circle C is 144π 

 

  

A 8πB 96πC 16πD 48π