2D Geometry Questions and Answers

In the diagram GH bisects ZFGL a Solve for x and find mZFGH b Find mZHGI c Find mZFGI a x Simplify your answer

Based on the graphic which three dimensional figure has the greatest volume A B 4x C D the oblique rectangular prism the rectangular prism they have the same volume height cannot be determined

Find the volume of this square pyramid given that its height is 8 m A B 4x x C D 24 m 72 m 648 m 3m 216 m 3m

Find the volume of a cylinder with a radius of 6 cm and height 15 cm to the nearest whole centimeter x A B 848 cm 3 393 cm

The diameter of a sphere is 16 cm What is the sphere s volume Round to the nearest tenth x A 2143 6 cm

wo cars start from the same place driving at the same rate one heading north and the other heading east After two hours the car heading north has traveled 150 miles and the car heading east has traveled 100 miles How far apart are the cars at this time A 350 miles B C D 250 miles 500 miles 111 8 miles

Which equation represents the graphed function 5 YA 5 5 5

4 5pts Using Figure 4 below find the value of s S 1 9 Figure 4 6 S

An equation is shown 2z 5 3 0 What values of x make the equation t x

5 Determine the measure of x a 20 m b 24 m c 16 m 16 m 6 m 5 m

What is mZF I H mZF 8x 65 G 3x F

What is the value of x X R T O 15x Q 45 S

What is mZGIH 150 112 F G Write your answer as an integer or decimal mZGIH H

What is mZFEG LL F H 69 E Write your answer as an integer or decimal mZFEG C

In circle S the m TVU 216 Solve for x if measure of arc TU 6x 14 degrees U S Picture is for reference and is not exact to the angle measures

What is mZSUT T m SUT O 92 S V U

In circle L with m KLM 1 1 degrees find the m KNM M N Picture is for reference and is not exact to the angle measures Type your answer

In circle F with m EFG 67 0 degrees find the angle measure of major arc E F G

ed 7 One night while working on his review and preview Jackson evaluated f x for x 7 and got a value that was undefined How does this information relate to the domain of f x AND to the graph of the function

Justify your answer for question 2a If the ratio of the sides is a b then the ratio of the area is a 2 b 2 Answer 1 area Answer 2 a 2 b 2 The ratio of the sides is EQUAL to the ratio of the perimeters If the ratio of the sides is a 6 then the ratio

If the side ratio is 4 17 then the area ratio is 16 81 If the ratio of the sides is a b then the ratio

Find the volume of a rectangular based pyramid whose base is 8 cm by 6 cm and height is 5 cm h 5 cm Volume 1 8 cm w 6 cm cubic centimeters

Find the volume of the cylinder 4m A 748 8 m C 541 04 m A C BA C D 10 m D B B 538 12 m D 502 65 m

Acellus A certain state uses the following progressive tax rate for calculating individual income tax Income Range 0 3000 3001 5000 5001 7 000 Progressive Tax Rate 2 3 5 5 75 17 001 and up Calculate the state income tax owed on a 60 000 per year salary tax Pound your answer to the nearest whole dollar amount Enter 4 Help Resources

This video starts at the 3 50 mark A triangular plot of land has a perimeter of 45 yards The length of the second side is double the first side The length of the third side is 13 yards longer than the first side Find the length of each side Practice Problem 1 If the sum of twice a number and three is doubled the result is one less than five times the number Find the number 2 It costs 29 to become a preferred customer and 18 per month to receive monthly shipments of a dietary supplement If your budget includes 200 for dietary supplements how many months can you afford to continue receiving shipments if you sign up to be a preferred customer Solution

The ratio of the areas of two similar polygons is 16 25 If the perimeter of the first polygon is 20 cm what is the perimeter of the second polygon 36cm 9cm 16cm 25cm O None of the other answers are correct

Given the figures are similar calculate the area of EFGH A 18 B O24 108 432 48 24 E 6

Justify your answer for question 3a If the ratio of the area is a 6 then the ratio of the Select Select is

Justify your answer for question 5a If the ratio of the sides is a b then the ratio of the Select is Select

If the side ratio is 9 16 the perimeter ratio is

1a Given that determine the measure of FOR R 8 e x 3

trapezoid is the midpoint of is the midpoint of and is the midpoint of If and determine the perimeter of

2 In the diagram below Annotate two pairs of corresponding angles B D A E C KEY UNDERST

3 Using properties of midsegments below determine the perimeter of 9 F E 14 G

20 sa a do ru d nd r l yor B A 100 C B B X m BAC 100 ve B D C noktalar do rusald r Buna g re m BDC x ka derecedir A 100 B 110 C 120 D 140 C E 160

In A ABC mzDEC 110 and mLEDC 45 What is the measure of LABC B D A Testaros FREE MEN SADE E 2016 DETER C SHEIK SENESTE NE THE STONE

What is the value of x T X 90 X x 91 O S U 91

What is the value of x T X 68 x 95 S W U 9x x 54 V

What is the value of x H X x 18 X 17 O G I x 289

What is the value of x x 63 X T 56 Q S 53 3x R

Use a calculator to find sin 172 rounded to the nearest hundredth O 0 76 O 0 14 O 0 14 O 0 76 Use a calculator to find sin 157 rounded to the nearest hundredth 0 39 O 0 39 O 0 51 O 0 51

What is mZRPS S mZRPS T 110 80 105 P O R Q

Identify the similarity statement comparing the 3 triangles B A C O O AABC ABCD AACD O AABD AACD ABCD O AACD ABCD AACB ADAB AACB ADCA Z D

What is mQS Q mQs 130 O R S 80

Your friend Miya is having trouble with the lessons on triangle congruence She sends you an email to ask you for help Her questions are shown below 1 What does it mean for triangles to be congruent 2 What are the different theorems that can be used to prove triangle congruence 3 What does CPCTC stand for 4 When do you use CPCTC

tree with a height of 4m casts a shadow 15 m long on the ground How high is another tree hat casts a shadow which is 20 m long A 40 foot flagpole casts a 25 foot shadow Find the shadow cast by a nearby building 200 feet taill 3 A girl 160 cm tall stands 360 cm from a lamp post at night Her shadow from the light is 90 cm long How high is the lamp post

2 Graph the system of linear inequalities on the coordinate plane y 12x 2 1 20 y x 6 a Shade the solution to the system of inequalities b Pick a point and show your solution is correct X

Multiply 7 j4 5 j6 Graph the two values and the vector representing your answer on the coordinate plane below extend the plane if needed and or change the scale Be sure to label each of the 3 phasors

4 Listen Examine the diagram and answer the question The diagram shows A 3 5 and B 8 1 A 8 6 4 B 6 4 2 20 2 4 6 8 For 2 A 6 B 2016 StrongMind Created using GeoGebra 8 What is the distance between the two points 9 105

Solve the proportion 1 HM 19 17 x 13 2 3