Geometry Questions

Suppose you know the cost for building a rectangular deck measuring 9 feet by 12 feet If you decide to increase the dimensions to 15 feet by 20 feet by how much will the cost increase The cost of the deck increases by a factor of Simplify your answer Type an integer or a fraction

A B C D C A 10TJ 2 4 2 4 4 2 2 4 54221LSSO 9 8 7 6 3 10 9 8 7 6 5 4 3 2 10 1 2 3 4 5 6 7 8 9 10 1 23456 In the next step of the pattern shown in the graphs above what will be th coordinates of point D 7 8 9 B 10 10 J 99676 8

The graph of y f x is shown below Draw the graph of y f x

Step 2 of 3 Graph the solution set of the second linear inequality Answer 2 Points The line will be drawn once all required data is provided and will update whenever a value is updated The regions will be added once the line is drawn Enable Zoom Pan Choose the type of boundary line O Solid O Dashed Enter two points on the boundary line 0 6 OC Select the region you wish to be shaded 0 D 10 5 Keypad Keyboard Shortcuts 10

What is the number of possible outcomes for the tree diagram below A 6 B 3 C 9 D 12 2 3 N 3 3 2 3

Ex 4 Find each length Round to the nearest hundredth 4a DF 4b ST 4c BC A 12 ft 7 A 51 N 17 m 18 33 in 25 Ex 6 Write the Sin T as a fraction S 60 B 4d JL K Ex 5 Find all the angle measures and side lengths for the triangle 42 9 5 in 27 13 6 cm L U

You Try Find the missing side length Tell if the side lengths form a Pythagorean triple Explain Ex 4 Ex 5 15 15 12

What is the ratio for the surface areas of the rectangular prisms shown belo given that they are similar and that the ratio of their edge lengths is 8 5 16 A 512 125 B 25 64 C 64 25 D 125 512 24 5 10 15

12 RE tan A sin A cos D in D Determine whether each equation is correct or incorrect 11 12 13 12 13 12 5 D correct incorrect

E F D A z 53 sin 41 53 sin 49 C 53 cos 41 53 cos 49 Select all of the following that can be used to find the height of the tree B I 2 x 53 tan 41 x ne the height z of a nearby tree She stands 53 feet from the tree The measure of the angle of elevation from Katherine s feet to the top of the tree is 41 53 tan 49

8 Leo designs the skateboard ramp shown in the diagram 23 h 129 in Enter the height of the ramp h in inches Round your answer to the nearest whole inch Inches When finding sine cosine or tangent of an angle be sure your calculator is set to degrees On the embedded calculator click the Wrench icon Graph Settings and se

Consider parallelogram GHJK below H J G K Note that GHJK has vertices G 5 5 H 1 1 J 1 2 and K 7 2 Answer the following to determine if the parallelogram is a rectangle rhombus square or

What shape is the cross section of the cone when sliced parallel to its base O A Square B Rectangle C Circle D Triangle

For the rhombus below find the measures of Z1 Z2 Z3 and 24 2 1 4 3 57 m Z1 m 22 m 3 m 24 8000 0 X

13 3 5 What is the surface area of this solid OA 47 1 B 37 68 C 50 24 D 40 82

7 A right triangle is shown I 60 Find the values of a and y x y Y Round your answer to the nearest tenth If necessary When findin 12 or calculator set to degrees On the ember alculator click the Wrench icon Graph

A 32 Inch computer monitor is shown X 28 in 32 in What is the height of the screen x in inches 000 Round your answer to the nearest tenth of an inch

5 Find the value of a that makes ABIGATOE B 6 52 3 9 T 2 3 5 2x G E

B 51 71 35 51 32 97 55 66 Similar using AA similarity 70

riangle 1 has an angle that measures 26 and an angle that measures 53 Triangle 2 has an angle that measures 26 and an angle that measures a where a 53 ased on the information Frank claims that triangle 1 and triangle 2 cannot be similar What value of a will refute Frank s claim

2 In the image below ARAT is similar to APIG A A RA RT PI PG AT RT IG IP C ZA B 6 ZI Select all of the statements that are true D LG LI 8 1 R 4 T 7 5 10 E The scale factor from ARAT to APIGE 10 5 P 5 G

1 In the diagram ACAT ADOG Find the value of c T x 18 24 C 15 A 10 D 16 8 G

Three vertices of a parallelogram are shown in the figure below Give the coordinates of the fourth vertex 4 2 0 9 3 5

Consider parallelogram VWXY below Use the information given in the figure to find mZY m ZYXV and x V Y 3x 12 85 58 X W m2 Y mZYXV X

to complete the proof of the following theorem If a quadrilateral is a parallelogram then its opposite angles are congruent By definition a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel Use this definition in your proof B C A Statement D Given ABCD is a parallelogram L Prove A ZC 1 ABCD is a parallelogram 2 AB 3 AD II 4 ZA and 5 ZA and 6 B 4 7 2C and are supp angles 8 ZA ZC are supp angles are supp angles Reason Given Definition of a Parallelogram Definition of a Parallelogram Reason Reason W Ifs are supp to the same they are Reason Reason

Use the given information to complete the proof of the following theorem If opposite sides of a quadrilateral are congruent then it is a parallelogram By definition a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel Use this definition in your proof R S Given QR ST 3 4 1 QR ST 5 1 2 QT RS 6 2 7 4 3 Statement 40 40 41 40 4 2 40 QR QT RS Prove QRST is a parallelogram 8 QT II 9 QRST is a parallelogram Reason Given Given Reflexive Property Reason CPCTC Property CPCTC Property Reason Reason Reason

The convex polygon below has 5 sides Find the value of x 81 135 to 106 110 X 0

Find the value of x to 124 81 80 X

In this picture B D and F are midpoints AC 50 CE 60 and BD 35 DF

Order the angle measures mZE mZF and m G from least to greatest Note that the figure is not drawn to scale 9 F 8 7 E

Classify the segment in each part below Only use the Information given in the figure Do not assume measures are equal unless the markings Indicate they are If necessary you may learn what the markings on a figure Indicate a Select all that describe GI O Perpendicular bisector of FH Angle bisector of G Median of AFGH Altitude of AFGH None of the above b Select all that describe VW Perpendicular bisector of XY Angle bisector of Z Median of XYZ Altitude of XYZ None of the above c Select all that describe AD Perpendicular bisector of BC Angle bisector of A Median of ABC Altitude of ABC G B D H

3 Tyler bought a wedge He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters Priya bought a wedge that came from a circular cheese block with radius 9 centimeters The block was cut into 6 congruent sectors Whose wedge is larger Explain or show your reasoning

Parallelogram ABCD is shown below Give the coordinates of C B p q A 0 0 c D r 0 COD

A triangle on a sphere could have O A 175 OB any number of O C 180 OD 185 degrees

about the origin 8 6 4 C e B A 360 B 180 C 90 D 270 2 8 6 4 2 6 2

Which of these terms does not describe polygon AB C O 6 4 8 A image 8 6 D reflection 4 2 A 4 50 00 d 8 B preimage C translation V 8 B

rectangular box shown in the figure has dimensions 10 x 6 x 2 a 10 b 6 c 2 Approximate the angle formed by a diagonal of the base and a diagonal of the 6 x 2 side Round your answer to two decimal O a number 8

In the straightedge and compass construction of the equilateral triangle below which of the following reasons ca you use to prove that JL KL Select all that apply D JL and JK are radil of the same circle and JK and KL are radii of the same A circle so JK JL and JK KL JL and KL are both congruent to JK so JL KL JL and XL are radii of the same circle B and JK and JL are radil of the same circle so JL KL and JK JL C D JK and JL are radil of the same circle and JK and KL are radii of the same circle so JK JL and JK KL and JL KL JL and KL are radil of the same circle so JL KL

Determine the shaded area of sector POM P 0 4cm A 0 67 cm B 1 2 cm C 2 4 cm P 9 67 cm 54 M

7 Find the volume of the roll of duct tape 2 0 cm 4 0 cm VOLUME 1 0 cm

22 m VOLUME SURFACE 24 6 m 22 m

1 12 km VOLUME SURFACE 7 km 18 km

4 4 Yd 3 Yd VOLUME SURFACE 1 C 4 3 Yd 3 Yd

12 cm 7cm 1 J VOLUME SURFACE AREA 12 5 cm 7 cm 224

c y y 3 y 25 y X Construct the phase plot If the phase plot does not exist select the graph of y dy dt dy dt tattit y y dy dt dy dt HW H

Select the sides to complete the proportion statement from the drop down menus Complete the proportion statement to show that ABCDE IHGFJ B C F AB BC IH GEO DE JI

b 9 1 y y 9 y 20 dy dt x Construct the phase plot If the phase plot does not exist select the graph of y dy dt dy dt y y dy dt y y

Consider the plane which passes through the three points 3 5 8 0 7 5 and 0 8 3 Find the vector normal to this plane which has the form 1 00

Rhombus KLMN is shown below Give the coordinates of L and K M s t P 2 2 K N 0 0 L D K 0 X

Use the graph of the function to estimate the intervals on which the function is increasing or decreasing Enter your answers using interval notation increasing decreasing 5 2 3 4 5 6