2D Geometry Questions and Answers

Avery leans a 24 foot ladder against a wall so that it forms an angle of 80 with the ground How high up the wall does the ladder reach Round your answer to the nearest tenth of a foot if necessary

Use the labeled point to write a point slope form for the line The point slope form of the line is Type an equation 4 3 2 H 3 2 11 2 3

6 a Determine an algebraic expression for the graph of the quadratic function shown below f x 1 x 2x 8 X 6 X b Where does the function achieve its minimum Give an exact non decimal answer c What is the minimum value of the function Give an exact non decimal answer y X WebAs

Aubrey is flying a kite holding her hands a distance of 2 5 feet above the ground and letting all the kite s string play out She measures the angle of elevation from her hand to the kite to be 25 If the string from the kite to her hand is 150 feet long how many feet is the kite above the ground Round your answer to the nearest hundredth of a foot if necessary

Question 25 of 60 Ben has purchased 50 sheets of thin plywood to make a model of the neighborhood he lives in Each sheet measures 17 inches by 24 inches He cuts one fourth of each sheet to use as walls for the houses and cuts two thirds of each sheet to use as walls for the office buildings He plans to use the third piece from each sheet to repres basketball courts at the park hat is the total area of the plywood pieces he plans to use for the tennis and basketball courts 2 550 square inches 5 100 square inches 3 400 square inches 850 square inches 1 700 square inches 24 inches 17 inches

Consider the given function f x x 2x 5 a State whether the graph of the parabola opens upward or downward b Identify the vertex c Determine the x intercept s d Determine the y intercept s e Sketch the function f Determine the axis of symmetry g Determine the minimum or maximum value of the function h Write the domain and range in interval notation Write your answers in exact form Part 0 9 Part 1 of 9 a State whether the graph of the parabola opens upward or downward The graph of the parabola opens Choose one upward downward X

1 OA 45 cm OB 46 cm OC 48 cm OD 49 cn Question 2 If the volume of the cone 8640 on what is the height A 45cm B 46 cm 48cm 49cm slant height 12 5 pts The slant height of the Cone is 52 cm What is the volume of a cone having a radius of 20 cm and a slant height of 52 cm A Clon

12 2 3 D 5 6 2 25 45 6 7 11 25 135 Find a cot function that matches the given graph Use exact values f x 157

2 round to the nearest tenth 4 8 in 6 8 cm 18 7 cm Find the volume of the figure round to the nearest tenth 3 2 in 1 4 in 1 point er is purchasing a ring that contains a 10 millimeter diameter round pearl he volume of the pearl to the nearest tenth

Triangles ABC BCD and CDE are shown on the coordinate grid below and all the vertices have coordinates that are integers y Which statement is true O A Only AABC and ABCD are congruent O C Only ABCD and ACDE are congruent O D No two triangles are congruent B OB Triangles ABC BCD and CDE are all congruent D X

Look at this triangle 5 in L O A O C 3 5 in M Which triangle is similar to the given triangle 7 2 in 6 2 in 5 04 in 7 2 in 4 25 in 4 in 6 2 in N OB O D 3 in 3 in 4 in 5 76 in 5 2 in 5 76 in

7 Find the volume of this figure round to the nearest whole numbe 6 ft 8 ft 9 ft

45 If m2AOB 45 in circle 0 what is m2ACB 22 5 67 5 90

Inscribed angle What is the name of the angle pictured Interscribed angle Central angle Circumscribed an

17 B 68 Find the measure of arc AB 146

tuse angle An angle whose vertex is the center of a circle is a n inscribed angle acute angle central angle

A tangent to a circle is complimentary congruent to the radius drawn to the point of tangency perpendicular supplementary

In Circle G mZHGJ 108 H 108 J What is mZHIJ 60 216 What is the mz 108 h

How many degrees are in a semicircle 270 180

Quadrilateral ABCD is shown below What are the coordinates after two consecutive transformations What are the coordinates when the figure is translated 3 units up and 2 units right What are the coordinates when the translated figure is then reflected about the x axis Fill in the values of each coordinate below A B A 5 4 3 C 1 10 8 7 6 5 4 3 2 1 01 1 D 2 0 3 B B C D C D 7 D

YOU TRY In the diagram below of right triangle ABD the mzB 90 Determ from D to C a Set up a segment subtraction statement b Separate the two triangles and label all angles sides 10 45 100 m XI

A rectangle will be rotated 360 about a line which contains the point of intersection of its diagonals and is parallel to a side What three dimensional shape will be created as a result of the rotation Select one of the following A cube A culindor A rectangular prism

P B C AB and AC are tangent to OP AC half of AB A AB half of AC What can you conclude AB and AC are not congruent AB AC

1 In right triangle ABD below AB A 14 ft B 25 45 C 14 ft Determine the length of CD to the nearest tenth of

1 5 points On a sphere whose radius is 10 inches circles OC and OC are formed by planes intersecting the sphere at 3 inches and 5 inches from the center see figure Find a ORC and a ORC 7 5in 3in

In Circle U m R 38 What is m 10 384 76 2 What is the mZU G 3

me hit 6 Test Review Class 1 Do the equation and graph below share a vert f x x 6x 4

5 in 3 7 in 4 in 5 in 5 in

4 Label each exterior angle in the diagram and find its degree measure 5 What is the sum of the measures of the exterior angles 2x 7 5x 3 95 4x 11 108 110 6 Write solve an equation to find the value of x then find the measures of all interior AND exterior angles 154 91

Identify the graph of y x 42 42 A 2 Y X

Graph the line with the equation y x 2 10 9 8 7 6 5 4 3 2 1 10 y 9 8 7 6 01 5 4 3 2 1 1 2 3 4 5 6 7 8 1 2 3 01 4 5 6 7 8 9

12 cm 9 cm 15 cm Find the volume of the cone Use 3 14 for m O 1017 36 cm 3052 08 cm 1271 7 cm This is a required question Find the volume of the cylinder Use 3 14 for m

What is m ZABD Use the sketchpad or short answer to show your equation work and final answer B A 2x 8 D 5x 19 C

Evaluate the expression 1 1 3 3 59 Submit 2 6 5 6 6 2 9

Multiply Write your answer as a fraction or as a whole or mixed number x 5

Divide Write your answer as a fraction 1 3 5 6

X sin 58 19 x 58 19 Which equation would you use to solve for x sin 58 x 19 cos 58 19 x cos 58 x 19

What is the area 4 Write your answer as a fraction or as a whole or mixed number 556 mi 1 mi square miles

Which of the images below best represent Select one O a 18

10 9 8 75 5 4 3 2 1 3 2 1 1 2 3 5 6 7 8 9 10 1 2 3 4 5 7 8 9 10 O a rotation of 180 clockwise about the origin O a reflection over the line y x 7 a reflection over the line x 5

Clara operates an orange juice stand On Monday she used 1 9 10 bags of oranges On Tuesday she used 3 times as many oranges as on Monday How many bags of oranges did Clara use on Tuesday Write your answer as a fraction or as a whole or mixed number bags

2 1 point In the figure below m45 134 and m 17 150 Find the measure of angle 15 3 8 2 9 12 Type your answer 11 16 10 17 fi 15

Clayton teaches cooking classes at his town s community center Each of the 9 cooking stations has a bottle of olive oil The graph shows how much oil is in each bottle Amount of olive oil x x X XX 0 1 2 cup 1 Cups 4 If Clayton distributes all of the olive oil equally among the 9 bottles how much will be in each bottle 11 1 201 2 9 10 cup 1 cup H 1 9 cups

23 63 X Cosine Which on would help you find x Tangent Sin

sine 21 X adjacent Which ratio would be used to solve for x tangent cosine

8 Use the function below to answer the questions below f x x 3 4 What does the 3 do to the parent graph It moves the graph V What does the 4 do to the parent graph It moves the graph V What is the domain of the graph 3 spaces What is the range of the graph 4 spaces V

2 Solve the equation Check for extraneous solutions x 9 x 3 Extraneous solution If there are none type none

4 Find the inverse of the function f x 9 x A f x 9 x B f x 9 x f x 9 x D x x 9

What compound inequality describes this graph 620 625 630 635 640 645 650 655 660 665 Write a compound inequality like 1 x 3 or like x 1 or x 3 V AI VI

1 What is an extraneous solution to the equation x 3x 40 A 8 B 5 5 D 8