Geometry Questions

Line segments MP and ML are perpendicular chords in Circle O MP 10 and ML 24 M 24 P Which statements about circle are true Select three options The radius of circle O is 13 The diameter of circle O is 34 OLP is a diameter of circle O OZLMP intercepts a semicircle The measure of arc LP is 90

Consider circle Y with radius 3 m and central angle XYZ measuring 70 Y 3 m What is the approximate length of minor arc XZ Round to the nearest tenth of a meter O 1 8 meters O 3 7 meters O 15 2 meters O 18 8 meters

What is the lateral area of the cone 4 ft 9 ft The lateral area of the cone is ft Round the final answer to the nearest whole number as needed Round all intermediate values to four decimal places as neede

Find the surface area of the pyramid 3 3 m 6 m The surface area of the pyramid is m Do not round until the final answer Then round to the nearest whole number as needed 6 m

12 Which equation results from applying the secant tangent segment theorem to the figure O 12 a 12 10 O 10 12 a O 10 a 10 12 O 10 12 a

Which is true regarding secants and chords O Chords intersect the perimeter of a circle at two points Secants intersect the perimeter of a circle once O Chords intersect the perimeter of a circle at one point Secants intersect the perimeter of a circle twice O Chords and secants intersect the perimeter of a circle twice Chords are segments entirely within a circle while secants are lines or rays that extend through a circle O Chords and secants intersect the perimeter of a circle twice Chords are lines or rays that extend through a circle while secants are segments entirely within a circle

125 0 V X W In the diagram of circle C mZVWX is 43 What is m 39 41 78 82

Segments RT and SU are diameters of circle O R 94 O What is mSRT 258 266 O274 282

76 A 0 C What is the measure of ZC 38 O 76 90 O 152

Two circles are concentric if they have the same center 10 9 8 7 to LE 3 1 y 1 2 3 4 5 6 18 9 10 Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large O x 4 y 6 4 O x 4 y 6 16 O x 6 2 y 4 16 x 6 2 y 4 4

Consider circle C with angle ACB measuring radians 317 4 B 3 m 4 If minor arc AB measures 9 inches what is the length of the radius of circle C If necessary round your answer to the nearest inch O 6 inches O O O 12 inches 18 inches 24 inches

The face of a clock is divided into 12 equal parts The radius of the clock face is 10 inches Assume the hands of the clock will form a central angle no 98 11 12 7 6 1 5 2 m A Which statements about the clock are accurate Select three options The central angle formed when one hand points at 1 and the other hand points at 3 is 30 O The circumference of the clock is approximately 62 8 inches The minor arc measure when one hand points at 12 and the other hand points at 4 is 120 The length of the major arc between 3 and 10 is approximately 31 4 inches The length of the minor arc between 6 and 7 is approximately 5 2 inches

Circle O has a circumference of approximately 28 3 cm T What is the approximate length of the radius r O 4 5 cm O 9 0 cm O 14 2 cm O 28 3 cm

Triangle JKL is equilateral One side of the triangle JL is a diameter of circle M Which is true about line segments JK and KL O Both segments are tangent to circle M but are not chords O One segment is tangent to circle M and one segment is a chord in circle M O Both segments are chords in circle M but are not tangents ONeither segment is a chord nor tangent to circle M

Line segment ON is perpendicular to line segment ML and PN 10 M 25 N U 10 What is the area of triangle MOL O 200 square units O 250 square units O 300 square units O 500 square units

Line EF is tangent to circle at point A B E G A D If the measure of ZCAE is 95 what is the measure of CBA O 90 O 95 O 190 O 195

Consider circle N with radius 30 cm and 0 radians N 0 30 cm L M What is the approximate length of minor arc LM Round to the nearest tenth of a centimeter O 12 4 centimeters O 15 7 centimeters O 31 4 centimeters O 36 7 centimeters

How can the following theorem be useful If is the angle between aandb then a b lal 1b1 cos Select one or more O a This formula could be used to find the angle between two vectors by solving for Cos then using the inverse cos function to find the angle Ob This formula could be used to find the angle between two vectors by solving for Cos then using the law of cosines to find the angle OC This formula could be useful to find the magnitude of one of the vectors when the angle and dot product are known values Od This formula could be used to find one of the vectors when given the angle dot product and magnitude of each vector

The dot product of two vectors is Select one O a a real number O b a magnitude O c an integer O d a vector

Given the information a vector has length 6 with Southeast direction it could be drawn from into the and extend

identity the conic the polar equation represents and give the position of the directrix 1 2 9 sin 0 r Identify the conic that our polar equation represents Choose the result below Ellipse Parabola O Hyperbola Is the directrix perpendicular to the polar axis or parallel to the polar axis O Perpendicular Parallel Which direction is the directrix from the pole O Above Below Right Left How far is the directrix from the pole

What is the directional angle of the vector 3 7 Select one O a 293 2 O b 336 8 O c 2 33 Od 66 8

Something is traveling 7 miles per hour South This could be represented by 7 1

All vectors Select one or more a have length O b begin at the origin C are scalar Od have direction

Determine the equation of the hyperbola satisfying the given conditions Write the answer in the form Ax2 By2 C or in the form Ay2 Bx2 C Asymptotes y 4x graph passes through 1 15 2 15y 16x 240

9x 4 12x 23 VALUE OF X INISSING ANGLET

The two circles are externally tangent Write the equation of this tangent line x 2 y 2 25 and x 9 2 y 12 2 100

Show that the two triangles are similar N M X 45 Y ZNZ 45 N and ZMYNL so AMYN AXYZ

tes Renal System Unit G description of henr Grades Assignmen MS is tangent to circle O at point M and MQ is a secant line If mMQ 150 find m QMS Y 0 S M O Submalt Anque

Show that the two triangles are similar W 85 X 45 50 Z U

REASONING Is it possible for AJKL and AXYZ to be similar when m J 71 m K 52 m X 71 and m Z 57 Ex your reasoning O No ZK and ZZ are not congruent O Yes corresponding angles are congruent O No all three angles for each triangle are not given OYes the largest angles of each triangle are congruent

Find the value of x that makes ADEF AXYZ 10 D E 8 3 x 1 F 7 5 Z 4 Y X x 1

of the lake WX MATHEMATICS You can measure the width of the lake using a surveying technique as shown in the diagram Find the wid V 104 m W WX m 6 m Z Y Not drawn to scale 8 m

COMPLETE THE SENTENCE For two figures to be similar the corresponding angles must be and the corresponding side lengths mu

Determine whether the triangles are similar If they are select the correct similarity statel 40 AV 55 N O similar ALMN AWXY O similar ALMN AYXW Osimilar AMNL AXYW not similar 3

Complete the table of values for the equation y 5 0 Then plot the ordered pairs X 0 11 3 2 6 Simplify your answers Type integers or fractions

7 Find the volume of the given prism Round to the nearest tenth if necessary 6 4 cm 4 8 cm 11 5 cm Not drawn to scale

shown Describe the transformation Example 4 L 0 0 L 0 0 M 4 1 N 1 3 N 1 3 M 4 1

Express the following as a function of a positive acute angle 4 tan 96

4 The graph of polygon the image of FGHI after a reflection across the line y 1 Include the line of reflection Then write the coordinates of the image Example 2 G

Progress The movement of the progress bar may be uneven because questions can be worth more or less including zero depending on your answer A rectangular prism has the following dimensions find the volume of the rectangular prism O 10a6 30a 10a O 10a 30a 10a O 10a 30a 10a 10a 3a a 5a w 2a and h Question ID 982 a 3a a Use the formula V 1 w h

A triangular prism has base edges 3 cm 5 cm and 7 cm long Its lateral area is 225 cm What is the height of the prism The height of the prism is Simplify your answer cm

What is the surface area of the solid The surface area of the given solid is cm Do not round until the final answer Then round to the nearest whole number as needed T 3 cm 6 cm L 4 cm

Use a net to find the surface area of the prism 5 ft Answer 4 ft 6 ft

Find the surface area of the cylinder 5 in 15 in The surface area of the given cylinder is in Simplify your answer Type an exact answer in terms of Use integers or decimals for any numbers in the expressi

Find the surface area of the prism The surface area of the prism is in L 11 in 6 in 5 in

Find the lateral area of the cylinder The lateral area of the given cylinder ism Round to the nearest whole number as needed 10 m 14 m

Find the surface area of the cylinder The surface area of the cylinder is cm Simplify your answer Type an exact answer in terms of 6 cm 9 cm

For the polyhedron use Euler s Formula to find the missing number faces edges 14 vertices 7 The number of faces is Tyne a whole number

Use Euler s Formula to find the number of vertices in the given polyhedron 8 faces 2 hexagons and 6 rectangles There are vertices in the polyhedron