2D Geometry Questions and Answers

2 In the diagram below of circle 0 mABC 260 What is m ABC 0

ST 7 Find the area shaded below Express your answer as a fraction times T S T R

and m In circle Q the length of RS ZRQS 120 Find the area shaded below Express your answer as a fraction times 7 S R

pendent Practice he following diagrams O is the center of the circle and TP and SP are tangents Find the values of the unk They are equal 7 cm rem 160 0 yem S cm 8cm 10 T S S 10 cm S TP 7cm 3P 7cm TP SP 8 cm cm P

Independent Practice In the following diagrams O is the center of the circle and TP and SP are tangents Find the values of the unknowns P 1 7 cm T cm S

How many Joules of heat are absorbed when 1000 g of water is heated from 85 C Q mx cx AT The specific heat of water is 4 184 J gx C Make sure to show all work for partial credit if your answer happens to be incorrect

5 d the tangents of the acute angle 3 L 5

Find the volume of the following figure and round your answer to nearest integer 18 in 15 in 3 5 in

1 point Identify the following shape Answer Cylinder Pyramid Triangular Prism Cone Rectangular Prism Sphere

pol What is the measure of the angle labeled x on the polygon below X 110 88

The diagnols of a rhombus measure 6 and 8 What is the perimeter of the rhombus 32 20 25 18

1 point Match the number of sides a polygon has with it s sum of interior angles measurement Quadrilateral 4 sides Triangle 3 sides Pentagon 5 sides Heptagon 7 sides Nonagon 9 sides Octogon 8 sides Hexagon 6 sides Decagon 10 sides 1440 180 360 1260 720 540 900 1080

In the parallelogram ABCD what is m C D A 6x 6 130 120 97 5 82 5 10x 30 C B

A trapezoid is shown below 3x 27 10x 23 12x 3 7x 13 What value must x be to prove this is an isosceles triangle Typo your answor

Complete the following proof Gice BC ED and BE CD E BC ED and BE CD ABFC AEFD B LBCE ZDEF and angle BDE cong angle CBD DF FB F Reflexive Property Quadrilateral BCDE is a parallelogram Given D Answer Answer Answer Answer Answer Alternate Interior Angles ASA

Two segments of Parallelogram DEFG are shown below Select a coordinate pair BEST represents the location of Point D the fourth vertex of Parallelogram DEFG LL F 10 5 E G

The diagram below shows Quadrilateral MNPS with diagonals intersecting at Point Q N 59 M S Which of the following statements can you use to prove this is a parallelogram NS NM MS NP and NM PS QP MQ and NP QS NS NM and MP MS NO OS and NM PS

e Choose one e Choose one 15 vamala of the followi

What is the correct term for a figure that has vertices at 1 3 5 8 11 3 and 5 2 Square Rectangle Kite Trapezoid Rhombus

Directions Select ALL the correct answers G 0 LG 41 20 LE 41 ZD X 5x 9 X 139 10 ZF 41 LE 71 LF 119 F 3x 11 D E

A parallelogram has vertices 1 3 5 4 and 6 8 Which of the following coordinates could NOT be its fourth vertex 2 7 10 9 0 1 8 3

Directions Select ALL the correct answers In order to solve for x and y what equations would need to be used 2y 29 6x 4 4x 18 2y 29 5y 5 180 6x4 4x 18 180 2y 29 5y 5 6x4 4x 18 Sy 5

Which conditions are sufficient to prove that quadrilateral RSTU is a rectangle S R RS TU and ST RU LR LU LT LS RS TU and ST RU STRU and SRI RU T U

In the quadrilateral below ST VU S 3x 8 What is the value of S Type your answer to V U T

Which of the following must be true or prove Quadrilateral DEFG is a rectangle D G E F DE GF and EF DG The diagonals bisect each other All sides a parallel The diagonals are congruent

The lengths of the diagonals of a rhombus are 24 and 32 What is the perimeter of the rhombus

What is the perimeter of this rectangle 3 cm 17 cm

ework t possible to determine an Euler circuit from this graph Choose the correct answer below ON No because this graph has no odd vertices A g

eral Arts Il Mode Live Online Class 3oz 3 1 Homework K A connected graph is shown Identify the a Bridges b Loops a Select the correct choice below and choice 08 infore a bridge s

In circle C CD 6 and m DCE 160 Find the area of shaded sector Express your answer as a fraction times T D C E

Sapn the image of the triangle after a rotation 90 counterclockwise around the origin 9 10 11 12 13 14 15

28 What is the volume of the figure below 14 6 in A 86T cubic inches B 104T cubic inches C 1177 cubic inches D 1717 cubic inches 9 in 10 in

7 Campbell soup is creating a new soup label If a can has a height of 6in and a diameter of 4in how much material does Campbell need for each soup label Work Picture 8 Find the total surface area of the following prism 5 in 9 in Picture 6 in 15 in 3 in fin 9 Bonus Ivana bakes a rectangular cake that is 9in wide 13in long and 2in high She removes the cake from the pan to frost it How many square inches of frosting does she need Work 13 9 0 2

In circle N with m MNP 118 and MN 20 units find area of sector MNP Round to the nearest hundredth P M N

In circle T with mZ 102 and ST 13 units find area of sector STU Round to the nearest hundredth U T S

In a circle an angle measuring 3 4 radians intercepts an arc of length 4 4 Find the radius of the circle to the nearest 10th

In a circle with radius 7 an angle intercepts an arc of length 357 Find the angle in radians 4 in simplest form

Points A and B are on the same side of a line L A is 3 inches away from L and B is 18 inches away from L The distance between A and B is 25 inches For all points P on L determine the smallest possible value of the sum AP BP of the distances from A and B to P

In a circle with radius 8 5 an angle intercepts an arc of length 38 9 Find the angle in radians to the nearest 10th

In circle U UV 4 and m VUW Find the length of VW Express your answer as a fraction times T U V 40 W

w 6cm X A y 90 Z 68 3 cm 22 11 H

In circle B BC 3 and m CBD 100 Find the length of CD Express your answer as a fraction times T B C D

In circle D DE 12 and m EDF E Find the length of EF Express your answer as a fraction times T F 60

Te Psychiatry org Wh Eating disorders S The Effects Remaining Time 2 hours 55 minutes Question Completion Status QUESTION 9 Label the following point on this grap 0 3

Question Completion Status QUESTION 12 Please write the co ordinates of the point indiacted below Enter your answer without spaces 6 5 S T R 2 Q P

Solve the right triangle on the right if its legs are a 15 4 and b 27 4

In circle D with m CDE 118 and CD 4 units find the length of arc CE Round to the nearest hundredth C E D

In circle J with m HJK 114 and HJ 7 units find the length of arc HK Round to the nearest hundredth J K H

8 Steven purchases a bowl with a diameter of 14 cm What is the distance around the bowl

4 a If the area of a circle is 100 cm what is the circle s radius to the nearest hundredth 5 What is the circle s circumference to the nearest hundredth