Geometry Questions

What is the most specific name for the figure C B A Square A B Parallelogram C Rhombus D D Rectangle A a 0 B 3a 2a C 2a 3a D 0 a

What is the most specific name for the figure A a 0 B 3a b C 2a 2b D 0 b B A A Rectangle B Square C Rhombus D

A parabolically shaped bookshelf has a width of 10 feet 1 inches at the top and height 9 ft 5 in Their are 7 rows of shelves with the same height 10 ft 1 in 9 ft 5 in How tall is each shelf How long is the board needed for the bottom of the shelf that is the seventh row of shelves from the bottom feet inches

Click here for long description Which of the following graphs represent x OA OB O C D E A Click here for long description B M 4 7 V 5 4 4 3 2 J Click here for long description C D E Click here for long description Click here for long description

Many formulas are used in mathematic courses Please match the volume formula to its solid A r h 3 B r h C area of base x height D area of base height 3 4 E A B C D Choose Choose Cylinder Cone Pyramid Sphere

If a right circular cone must have a volume of 12 cubic meters then a function that gives the possible radii as a function of the height is The volume of a right circular cone is given by the formula V r h 36 O A r Th B h C r D r 12 Th 36 Th E r 36 36

Polygons or multi sided figures have many shapes Please match the name with its description A polygon in which one or more interior angle has a measure greater than 180 A polygon in which all interior angles have a measure less than 180 A polygon in which all interior angles have the same measure A polygon in which all sides have the same length Choose Choose Choose Choose

the area formula to its figure A h b b B s 2 C lw D E bh

own it is important to be able to visualize which part of the circle your problem is asking about in order to plan how to solve it Using the figure below identify these parts of the circle DF MN HK BC M B D H T 0 Choose 1 Choose Chord Tangent Secant K Arc C N

There are many types of quadrilaterals a polygon with 4 sides Please match the name to its best description Two pairs of opposite sides parallel All of the angles have a measure of 90 All of the sides have the same length All of the angles have the same measure and all of the sides have the same length One pair of opposite sides are parallel Choose Square Parallelogram Rectangle Trapezoid Rhombus Choose Choose Choose

nonument outside city hall has dimensions as shown in the figure below If one gallon of paint can cover 203 ft how many gallons of paint must be bought in er to paint the monument Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon 15 ft 10 ft 36 ft 15 ft gallons X

An aquarium is to be drained The aquarium is shaped like a rectangular prism with length 16 in width 12 in and height 10 in Suppose water is pumped out of the aquarium at a rate of 128 in per minute If the aquarium starts completely full how many minutes does it take to empty the aquarium 0 minutes X

actory makes aquariums Each aquarium is in the shape of a triangular prism as shown below If the factory made aquariums that require a total of 1152 ft water how many aquariums did the factory make 4 ft 2 ft 3 ft aquariums X

A company makes wax candles in the shape of a cylinder Each candle has a diameter of 8 inches and a height of 3 inches If the company used 5727 36 in of wax how many candles did it make Use 3 14 for and do not round your answer

The radius R of a sphere is 8 4 cm Calculate the sphere s volume V Use the value 3 14 for and round your answer to the nearest tenth Do not round any intermediate computations 121 V 3 cm X

A company makes paper labels for cans of soup As shown below each can is in the shape of a cylinder with a height of 8 cm and a radius of 3 cm The paper abel is wrapped around the can and covers only the side of the can not the top or bottom If the company makes 15 labels how many square centimeters of paper will be needed Use 3 14 for and do not round your answer 3 cm 8 cm 0cm X

Find the surface area of this triangular prism Be sure to include the correct unit in your answer 10 cm 24 cm 26 cm 20 cm 0 cm X cm cm

The point N lies on the segment MP 4 Find the coordinates of N so that MN is M 19 12 N of MP P 8 6 Coordinates of N D

Since circles have a vocabulary all their own it is important to be able to visualize which part of the circle your problem is asking about in order to plan how to solve it Using the figure below identify these parts of the circle AB BCA AOC ABC B C Choose Central angle Inscribed angle Minor arc Intercepted arc Major arc Choose Choose

5 One of the following equations is graphed in the standard x y coordinate plane below Which one A y B y 5 1 1 2 y 54 O 5 x 1 X x 1 2 C y x 1 D y 2x 1 X E y 2x 2 X 5

Suppose that cota 1 2 a Find the exact values of sin sin 11 TL and Vann 2 0 and tan a 2 8 Undefined X

The point B lies on the segment AC 2 Find the coordinates of B so that AB is of AC 7 A 7 2 B c 28 12 Coordinates of B 0

The sides of an isosceles triangle are 26 26 and 24 cm long What is the area of the triangle Do not round any intermediate computations and round your answer to the nearest tenth 26 24 26 2 cm

A side of an equilateral triangle is 40 cm long What is the area of the triangle Do not round any intermediate computations and round your answer to the nearest tenth 40 0 2 cm X

A square has a diagonal that is 48 m long What is the area of the square If necessary round your answer to the nearest whole number 48 2 m

A triangular pyramid is formed from three right triangles as shown below Use the information given in the figure to find the length SU If applicable round your answer to the nearest whole number The lengths on the figure are not drawn accurately R 28 1 1 S U 1 I I 53 I I 117

y 2 cot 3x Drag the movable red point to set the asymptotes for one period of the given function Also place the blue point at the correct set of coordinates You may click on a point to verify its coordinates Provide your answer below TT 3 7 6 5 4 3 2 14 0 1 2 3 4 5 6 TT 3 ZTT 3 4TT 3

14 pts Hyperbola with perpendicular asymptotes are called equilateral or rectangular hy perbola Lines are perpendicular when the product of their slopes is equal to 1 Is this an equilateral hyperbola For full credit you must show all your work and provide clear rationale for your answer 6x 6y 12x 48y 6 0

The circle below has center E Suppose that m2 FEG 72 and that FH is tangent to che circle at F Find the following E H a m FG b mz GFH 0 X

Each part below contains one triangle and one figure that can be adjusted to make a triangle The markings indicate congruence a Adjust the figure on the right to explore the different triangles that can be formed Then answer the question Note that the figure will not be graded Which of the following is true O The two triangles must be congruent Reason Choose one O The two triangles do not have to be congruent b Adjust the figure on the right to explore the different triangles that can be formed Then answer the question Note that the figure will not be graded U Which of the following is true O The two triangles must be congruent Reason Choose one O The two triangles do not have to be congruent

e viewing angle 0 of an object is the angle the object forms at the lens of the viewer s eye The viewing angle is related to the object s height H and distance from the viewer D through the formula tan 2D A forest ranger views a tree that is 160 feet away with a vie gle of 18 How tall is the tree e height of the tree is approximately feet

Write an equation of a circle with diameter AB A 4 4 B 14 14 OA x 9 y 9 50 OC x 9 y 9 50 OE x 9 2 y 9 4 O B x 14 y 14 4 OD x 9 y 9 14 OF x 9 2 y 9 50

For triangle DEF given sides d 38 e 42 and f 47 Find measure of angle F Your answer will be numerical only and round to the nearest tenth

Question 0 Provide your answer below 47 in a A carpenter needs to cut a small triangular piece of wood for part of a jewelry box He knows the dimension shown and that 0 38 What is the length of a to the nearest tenth of an inch Do not include the units in your answer

A hiker is standing on the ground looking up to the top of a tree with an angle of elevation of 0 55 The situation is represented where the base of the triangle is the eye level of the hiker and the vertical side is the tree The distance from the hiker s eye to the top of the tree is 54 feet Based on the information given what is the distance a in feet from the hiker to the base of the tree Do not include the units in your answer Round to the nearest whole number Provide your

Determine the affine transformation which maps the points 1 1 3 2 and 4 1 to the points 0 1 1 2 and 3 7 respectively

A B What else is needed to prove these triangles congruent using the HL theorem A A D B Nothing else is needed to use the HL theorem C Both ABC and ZDCB need to equal 90

4 10 points Consider the line of intersection of the two planes 2x x2 4x3 5 and 3x3 2 and the line 2 1 0 s 1 2 3 Find the normal equation of the plane containin these two lines

PQ RQ and PS RS px a 160 90 b R

Use a reference angle to write sec 25 in terms of the secant of a positive acute angle in radians 36

Given the triangle Enter an exact answer in fraction form 0 15 17 8

SA 20 ft ft 5 ft 25 ft 5 ft 25 ft 5 ft

The perimeter of a triangle is 60cm The length of one side is 5cm more than the length of the shortest side and the length of the other side is 7 more than twice the shortest side 20 Develop algebraic expressions for each side of the triangle based upon the description Shortest Side a Length of Middle Side Input your answers WITHOUT SPACES 21 Length of Longest Side Input your answers WITHOUT SPACES 22 What is the length of the shortest side Shortest Side cm

15 The triangle is inscribed in the circle below Find x 5 16 Find x units A 24 15 units

Use the diagram for the following two questions are 17 Find the measure of arc 1 round to one decimal place arc 1 degrees 18 Find the measure of arc 2 round to one decimal place arc 2 degrees

30 Find the area of the following figure The units are in hectometers A 18 2 10 hm

11 Find the equation of the circle whose center is 2 1 and radius 5 units O x 2 y 1 25 O x 2 y 1 25 O x 2 y 1 25 O x 2 2 y 1 25 12 Name the following relationship between theses circles O Concentric circles O Disjoint circles O Intersecting circles 2

Match the polygon below with the correct name A N gon Undecagon Heptagon Nonagon Triangle Pentagon B the correct name

10 h 10 27 What is the height of the triangle 10 Use the button to input your answer AA 28 Find the area of the triangle

25 If the circumference of the following circle is 10 II inches find the perimeter of the square inches