Geometry Questions

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

The following two triangles are similar Find the value of y 12 20 5 Your answer 13 B

Find the length of DF or state what additional information you would need to find it 3 15 56 E D 39 56 6 85 24 20

Determine the perimeter and area of the shape shown below Both rounded regions are semicircles 6 in 6 in Perimeter 49 70 X inches Area 149 10 X square inches Use the button on your calculator to make sure your answer is as accurate as possible Round your answer to the nearest hundredth as needed Question Help Video 1 Video 2

Select the correct answer from each drop down menu B O A CB and CA are tangents to circle Oat B and A We can conclude that for circle O LBOA and LBCA are and 2BCO are vand 26

The following two triangles are similar Find the value of x 12 5 Your answer 13 6 B X The following two triangles are similar Find the value of y

Select the correct answer The probability that a new car of a particular make will have a problem with the fuel line is given in the table Problem with Fuel Line Car Make A B C D E Total 0 0078 0 0084 0 0081 0 0110 0 0087 0 0080 What is the chance that a given car has a problem with the fuel line if it is make D OA OB O C D 0 0078 0 0110 0 0080 insufficient data

21 Select the correct answer from the drop down menu Capsule A Capsule B Capsule C Capsule D Total Heavy Metal Contamination 0 04 0 06 0 05 0 05 0 05 Microbial Contamination from E coli 0 15 0 22 0 24 0 18 0 17 Microbial Contamination from Staphylococcus 0 28 0 31 0 24 0 34 0 27 the same as R greater than less than i Microbial Contamination from Pseudomonas 0 33 ext 0 21 0 23 0 22 0 24 the probability of capsule D having it Microbial Contamination from Salmonella 0 31 0 29 0 30 The probabilities of contamination in medicine capsules due to the presence of heavy metals and different types of microbes are given in the table The probability of capsule B having microbial contamination is 0 27 0 28

Select the correct answer The probability of flowering plants bearing flowers in January is given in the table Bearing Flowers in January 68 81 77 70 Flower Tulip Anemone Manzanita Peony Fuchsia Flowering Currant Total 74 B 72 OC 76 76 What is the probability of a flowering plant bearing flowers in January if it is a tulip OA 68

Find the surface area of the solid The cylinder and cones are right A C 716 3 m 942 5 m B D 867 1 m 1168 7 m 8 m 6 m 15 m 6 m 8 m

he correct answer from the drop down menu A With reference to the figure sin x B BC 17 89 DC 16

1 If IN 5x 15 and AT 55 find x O 20 O 18 O 16 B N A H R

Select the correct answer from each drop down menu 1 inch 4 5 inches 3 inches Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder Based on this assumption volume of the flask is cubic inches If both the sphere and the cylinder are dilated by a scale factor of 2 the resulting vo would be times the original volume

Find the x intercepts of the following parabola y 4x 8x 12 A 2 0 3 0 OB 1 0 3 0 OC D 2 0 6 0 6 0 4 0

What is the radius of the circle x y 7x 0 Write your answer in simplified rationalized form

Given that A equations for X 35 8 6 18 4 3 13 3 2 X 1 35x 8y 18x 4y 13x 3y 6z 3z 2z and A 3 3 7 1 2 2 8 1 0 3 solve the following system of

Type the correct answer in the box Assume t 3 14 and round your answer to the nearest hundredth 3 ft 4 ft At the rate of 2 00 per square foot the cost of painting the rectangular board with a semicircular top shown in the figure is

11 c 2x 0 7 38 56 II In the figure a b 170 Calculate p 44 3x