Geometry Questions

Find the value of x 176 7x 50 The figure is not to scale Q Th

Find the area of each regular polygon with the given radius or apothem Write your answer as an integer or a simplified radical 13 Find the area of each regular polygon with the given radius or apothem Write your answer as an integer or a simplified radical 10 11 14in in 2 14 20cm B 10v3 in cm2 12 A 9ft 15 4 3 m ft

Part 1 of 2 A student needed to find the measure of angle b She incorrectly said mZb 129 Find the correct measure of angle b What mistake did she likely make m b 0 b V a 51 The figure is not shown to scale

c Determine 2 In the sketch alongside BR CD 5 BC BQ and PB BQ 3 4 D 5 Area of ACQD Area of ABQR Area of AQPD Area of ARPD Area of ACQD Area of APQR Area of ACQD Area of APQD B Area of ACQD Area of ARPD Q

Quadrilateral FGHT is a translation of quadrilateral FGHI Write the translation rule 10 8 x y by 6 4 2 H 8 6 4 2 0 2 8 10 2 4 6 H 8 10

5 3 Find the area of each trapezoid rhombus or kite 1 15 in 4m 16 m 6 m 10 m 15 m rapezoids Rhombi and Kites 11 in 7 5 in me 2 2 4 14 mm m 5 ft 8 ft 6 4m 16 m T 12 mm VIR DIE STO ALGEBRA Find each missing length 7 A trapezoid has base lengths of 6 and 15 centimeters with an area of 136 5 square centimeters What is the height of the trapezoid trapezoid has a height of 24 meters a base of 4 meters and an area of 264 hat is the length of the other base One diagonal of a kite is four times as long as the other diagonal If the area of the kite is 72 square meters what are the lengths of the diagonals square meters

The lateral area of a cone is 60 m The slant height is 15 m What is the radius

The surface area of a cone is 55 cm The radius is 5 cm What is the slant height

Find the surface area of the cone to the nearest whole number Hint Use the Pythagorean Theorem to find the slant height Note Diameter 10 cm 12 cm 10 cm Select one O a 267 cm O b 691 cm O c 723 cm O d 283 cm

Find the surface area of the pyramid round to the nearest whole number Hint The base is a regular hexagon with side length 10 m and apothem 5 3 m Remember the area of a regular polygon is equal to 1 2 pa where p is the perimeter of the base and a is the apothem 5 3 m 10 m l 10 m Select one O a 467 square meters O b 300 square meters O c 560 square meters O d 250 square meters

Find the lateral area of the pyramid to the nearest whole number 6m 10 m Select one O a 180 square meters O b 360 square meters O c 120 square meters O d 240 square meters Check

Part 1 of 2 O Points 0 of 1 The diameter of a cylinder is 7 yd The height is 4 yd Find the volume of the cylinder in terms of and to the nearest tenth Find the volume V of the cylinder in terms of v yd Simplify your answer Type an exact answer in terms of x

Find the volume of the triangular prism described below The base is a 45 45 90 triangle with a leg of 8 in The height is 1 6 in The volume of the prism is in Type an integer or a decimal

Find the height of the figure below with the given volume in Simplify your answer 9 in V 729 in

The volume of a cylinder is 1470 cm The radius of the base of the cylinder is 7 cm What is the height of the cylin The height of the cylinder is cm Simplify your answer

Find the volume of the cylinder in terms of x and to the nearest tenth The volume in terms of is V in Type an exact answer in terms of I CILE 3 in 8 in

Find the volume of the triangular prism to the right The volume of the prism is ft Type an integer or a decimal 3 ft

m 10 cm 4 cm Find the volume of the rectangular prism The volume is cm3 Simplify your answer

18 A 16 cm 3 cm Complete the chart below 3D Figure 6 ini 8 in A 12 cm 5 cm 7 in 20 cm 10 cm 11 cm Name Horizontal Cross Section Drawing Vertical Cross Section Drawing Horizontal Cross Section Name C

3 A right hexagonal prism is shown below A two dimensional cross section that is perpendicular to the base is taken from the prism 1 Which figure described the two dimensional cross section a Triangle b Rectangle c Pentagon d Hexagon

5 3D shapes are found everywhere Give a real life example of where you ve seen these 3D shapes today a Sphere b Cylinder c Cone d Rectangular prism

Determine the volume of packing peanuts needed to fill the box if the radius of the enclosed cylinder is 4 centimeters and the cylinder is centered in the box 18 cm 28 cm 12 cm 8 cm

4 SAT Question A landscaper is designing a rectangular garden The length of the garden is to be 5 feet longer than the wide If the area of the garden will be 104 square feet what will be the length in feet of the garden

If the connector was formed using concrete that costs 1 90 per cubic meter what was the total cost of the concrete needed to create the connector

If sewage passes through the connector hole so that half of the volume contains sewage how much sewage fills the hole

2 A two dimensional cross section is taken of a three dimensional object If this cross section is a triang what can not be the three dimensional object a Cone b Cylinder C Pyramid d Prism

A degenerate conic section is a figure formed when a plane intersects the vertex of a double napped cone The three types of degenerate conic sections are a point a line and a pair of intersecting lines point line pair of parallel lines

The diagram shows the graph of a parabola and it s key parts What do you call point B in the diagram C B

What are the coordinates of the vertex of a parabola whose equation is y 4 2 x 7 7 4 4 7 4 7 7 4

AG is tangent to circle O at point A If m AI 108 find m IAG I V A G

the 3D figure by the most specific name Name the horizontal cross section Name the vertical cross section Draw the horizontal cross section below 71 F K G J H E Draw the vertical cross section below D A C B

Which circle has a radius that measures 10 units O O 10 20 T 10 G H 20

Circle O has a circumference of 367 cm O B What is the length of the radius O 6 cm O 18 cm O 36 cm O 72 cm

5 J a Name the following 3D figures by their most specific names b What is the difference between the second and last figure

Horizontal Cross Section Drawing Name Vertical Cross Section Drawi Intel 1 i

hich figure can have the same horizontal cross section as a sphere BAAA 21 F

a Which of the following would map the rectangle below onto itself a 7x axis b Ty 1 c 7x 1 d Ty 4 b Reflect the figure over the line x 2 KEY UNDERSTANDING 1

3 What 3D shape would be formed if you rotated the figure below 360 degrees around the x axis LO 5 0 a Cone b Triangular Prism c Triangular Pyramid 2

2 What 3D shape would be formed if you rotated th figure below 360 degrees around the x axis LO a Rectangular prism Cylinder 5 0 5

Line segments XY and ZY are tangent to circle O X O N Which kind of triangle must triangle XYZ be O an equilateral triangle an isosceles triangle O a scalene triangle a right triangle

In circle P diameter QS measures 20 centimeters C R 123 P S What is the approximate length of arc QR Round to the nearest tenth of a centimeter O 9 9 centimeters O 19 9 centimeters O 21 5 centimeters O 43 0 centimeters

The lateral area of a pyramid with a square base is 2400 in Its base edges are 48 in long Find the height of the pyramid The height of the pyramid is in Type a whole number

270 A N M In the diagram of circle A what is mZLMM O 75 O 90 O 120 O 135

Circle D is shown with the measures of the minor arcs E 65 65 D G 115 F 115 Which segments are congruent O EH and EF O GH and FE O FG and EH O EF and GF

The lateral area of a cone is 13 in2 The radius is 2 6 in Find the slant height The slant height is in Type a whole number

Find the surface area of the cone in terms of The surface area of the cone is cm Simplify your answer Type an exact answer in terms of 19 cm 10 cm

Which equation represents the circle described The radius is 2 units The center is the same as the center of a circle whose equation is x y 8x 6y 24 0 O x 4 y 3 2 O x 4 y 3 2 O x 4 y 3 2 O x 4 y 3 2

Find the lateral area of the cone 3 cm 25 cm The lateral area of the cone is cm Do not round until the final answer Then round to the nearest whole number as needed FFF

Find the lateral area of the hexagonal pyramid The lateral area of the pyramid is cm Do not round until the final answer Then round to the nearest whole number as needed 5 cm 4 3 cm 8 cm

Find the surface area of the pyramid The surface area of the pyramid is in Type a whole number 12 in 10 in E