Geometry Questions

elect one a AC 6 Ob AC 8 Oc AC 12 O d AC 10 If AD 5 units BE 6 units and BD 2 units what is the length of chord AC E A D 90 B C

ect one a segment DC 23 b segment DC 30 C segment DC 32 d segment DC 25 A D What is the length of segment DC 28 B 8 LO 9 E

lect one a arc length of major arc ABC 28 2 b arc length of major arc ABC 27 5 Ocarc length of major arc ABC 29 1 Od arc length of major arc ABC 28 6 1 What is the arc length of major arc ABC 8 D 1972 B C

elect one a O b 3 Oc 3 O d K What is the measure of the indicated arc in radians 135

b The mzBEA 41 3 What is the measure of minor arc BA B ct one a measure of minor arc BA 41 3 E C measure of minor arc BA 97 7 measure of minor arc BA 82 6 d measure of minor arc BA 138 7 41 3

Select one O a m2BDC 36 O b m2BDC 40 Ocm BDC 18 O d mzBDC 42 If the m ABC 18 what is the mzBDC B A C D

elect one O a 2 O b 3T OC 6T O d 4 What is the length of the indicated arc in radians if the radius of the circle is 4 135

D is the centroid of AABC What is the value of x when GD x 4 and GC 4x 5 G F B D E C

AABC is rotated 180 about the origin and then dilated by a factor of 2 using the point 4 6 as the center of dilation What is the transformation of C 2 4 65432 OR 4 3 N 2 2399 C 2 4 B 5 3 O A C 1 1 O B C 1 0 O C C 1 1 O D C 0 1 A 3 1 2 3 4 5 6

A walking path BE in a park intersects two sides of the park at their midpoints You walk from point D to E from E to B from B to C and back to point D How many yards did you walk A 254 yd yards B 74 yd NE 107 yd D

ABCD is a parallelogram Which statements are true B y 3 17 x 5 72 D The value of y is less than 72 O The value of x is a factor of the value of y O The value of y is three more than a multiple of x The value of y is at least six times the value of x

Determine the value of x in the diagram 3x 3x

A circus owner wants to place an ATM at a location that is equidistant from the three main tents at points D E and F Which of the following can be used to determine where to locate the ATM O the medians of ADEF O the altitudes of ADEF O the angle bisectors of ADEF O the perpendicular bisectors of ADEF

Determine whether each statement is true or false 113 KL NM M P KL NM 114 N m MPN m LJK True O False O

rite an equation of the perpendicular bisector of the segment with the endpoints 8 1 and 4 5

SOHCAH TOA mnemonics device for remembering right triangle trig ratios Sine is ratio of sides Opposite over Hypotenuse B cos 32 1 Which equation associates an acute angle to a valid ratio of side lengths A sin 380 AB C tan 90 d ale ale le cl D sin 52 1 11 III A I only B III only C I and II D II and III SOH CAH TOA AB Cosine is ratio of sides Adjacent over Hypotenuse 2 Given the right triangle ABC below which of the following is equal to b sin A cos B tan A Tangent is ratio of sides Opposite 38 B a over Adjacent 40 ft 52 B b 25 ft

Two airplanes are flying parallel to each other on paths that are described by position d and time t The variable d is measured in miles and the variable t is measured in seconds The equation describing the graph of the position of the first object with respect to time is d 3 67t 4 81 The graph of the position of the second airplane is a parallel line passing through t 0 d 2 14 What is the equation of the second graph Select one O a d 4 81t 2 14 O b d 4 81t 3 67 O c d 2 14t 4 81 O d d 3 67t 2 14

AABC has vertices at A 3 4 B 2 1 and C 3 8 The longest side of AABC is units and AABC is a triangle Select one O a 8 6 scalene O b 11 5 scalene Oc 11 5 isosceles O d 8 6 isosceles

ct one a m BAC 90 b m BAC 30 cm BAC 45 d m BAC 60 The vertices of a triangle are as follows A 3 2 B 7 2 and C 7 6 What is the m BAC Here is the link to Geogebra

Points P and Q are located at P 2 1 and Q 1 7 Line PQ can be represented by the equation y 2x 5 Line RS is parallel to line PQ with point at R 2 1 What is the equation that represents line RS Select one O a y 1 2 x 3 O b y 1 2x 3 Oc y 2x 3 O d y 2x 3

e 5 3 4 3 1 2 2 5 Circle A has a center at 3 4 and has a radius of 4 47 units Which of the following points lies on Circle A

Given the vector with magnitude 15 and directional angle 120 Write the vector in unit vector form

What is the volume of the original sculpture What is the volume of the new sculpture How much greater of a volume is the new sculpture Select one O a The original sphere s volume is 33 ft the new sphere s volume is 904 ft and the new sculpture s volume is approximately 27 times the volume of the original O b The original sphere s volume is 33 ft the new sphere s volume is 904 ft and the new sculpture s volume is approximately 9 times the volume of the original Oc The original sphere s volume is 268 ft the new sphere s volume is 7235 ft and the new sculpture s volume is approximately 27 times the volume of the original

Select one O a 560 units O b 580 units OC 160 units What is the volume of 14 units Area of base 40 square units 10 units

Select one O a 103 62 in O b 75 36 in Oc 103 62 in O d 75 36 in What is the lateral surface area of the given cone 8 in r 3 in

Given a vector begins at 1 3 and ends at 3 1 then the components of the vector are 45

Choose the correct vector Select one O a O b O C 2 5 2 8

The diameter of a sphere is 8 units What are the radius and volume elect one a The radius is 4 units and the volume is 803 85 units O b The radius is 4 units and the volume is 267 95 units Oc The radius is 16 units and the volume is 51 445 76 units Od The radius is 16 units and the volume is 17 148 59 units

A cone has a radius of 5 inches and a height of 13 inches If its radius and height were enlarged by a scale factor of 2 5 how much larger would the volume of the new cone be Select one O a 32 5 times larger O b 6 25 times larger OC 12 5 times larger O d 15 625 times larger

ven a 6i 4j 4k and b 37 xj 9k find x when a b 2

Find the angle between vectors 2 6 and 11 7 Select one O a 39 01 O b 72 4 OC 82 04 O d Do not have enough information

Vectors can be Select one or more O a inverted O b scaled O c squared O d subtracted

The dot product of two vectors is NEVER Select one or more O a a vector O b a real number O c a magnitude d an integer

E 2 5 Py 17 1 0 5 0 5 0 1 5 ey 6 The vector above has a magnitude of 0 5 B 25

Given the graph Q 17 Find the following v u v u 6 19 o where is the angle formed by the vectors

What is the surface area of the triangular prism 3 cm 4 cm 4 cm 4 cm 5 cm 3 cm 5 cm Jhry

OO C 38 yd C 44 yd What is the ratio of the diameter of the smaller circle to the diameter of the larger

The radius of a circle is 8 inches What is the length of a 180 arc 180 r 8 in

Let 0 be an angle in quadrant I such that cos035 Find the exact values of csc0 and cote

10 3 Dilate by using the origin 8 6 A 4 2 4 2 2 4 6 8 10 B 2 4 C A 4 6 A B 0 6 B C 0 10 C 1 6 8 S 10 8 6 R A 2 104 8 6 4 2 2 6 8 R 8 8 R S 8 8 S 2 1 T 1 4 U T 4 8 T 1 U 4 8 U 6 8 10

Graph the image of the figure using the 1 Dilate by 2 using the center 0 0 10 8 6 7 2 H E G 2 2 F zut 4 9 6 8 10 E 2 4 E F 1 4 F G 1 2 G H 2 2 H 2 1 4 6 2 Dilate by 5 using the center 0 0 104 10 8 6 4 2 B 6 4 2 2 4 6 E D 4 6 D 1 1 D E 1 2 E F 2 0 F B AS 10

A community swimming pool is 8 yards 4 79 feet wide How wide is the pool in meters and centimeters Conversion ratios 1 m 1 09 yd 1 ft 0 3048 m 1 m 100 cm Round the centimeters to the nearest hundredth C 0 0070 08 Speed 1x Paused

Find the area K of the triangle K square units

MATHEMATICS WRITTEN WORK 1 A Write Draw the correct relation symbol to show the relationship Use a separate sheet of paper 1 AB 4 105 m2 1 6 7 DE 110 S Quarter 4 mZ2 6 B Find the measurement of the missing angles U 70 50 6 T 3 m21 Grade 8 Statements C Directions Complete the two column proof 10 15 Given A LMN where LM IN MN Prove MN IN LM MN LM LN LM LN MN Proof m22 Y 4 ZLPN ZMPN 5 ZLNP ZMPN 6 ZMNP LNM ZLNP 1 IP IN 2 ALNP is an isosceles triangle 3 ZLNPZLPN 8 9 2 FG 5 MS M N Notice that since MN LN and that MN LM then it is obvious that MN LM IN and MN LN LM are true 95 Hence what remains to be proved is the third statement LM LN MN Let us construct LP as an extension of LM such that Lis between Mand P LP LN and A LMN is formed 50 M LM LS 115 MATH SCIENCE ENGLISH MAPEH Reasons Page 5 of 1 By construction 2 3 Base angles of isosceles triangles are congruent 4 5 6 Angle Addition Postulate

A tank in the shape of a hemisphere has a diameter of 6 feet If the liquid that fills the tank has a density of 91 7 pounds per cubic foot what is the total weight of the liquid in the tank to the nearest full pound

17 Steve drew line segments ABCD EFG BF and CF as shown in the diagram below Scalene ABFC is formed A E B 1 LCFG LFCB 2 LABF LBFC F C D G Which statement will allow Steve to prove ABCDEFG 3 LEFB 4 LCBF LCFB LGFC

II A parallelogram lot has an interior angle of 36 and a height of 3 m 1 Find the length of the side in ft a 0 7 b 7 c 17 d 27 2 Find the area in sqf a 289 b 729 c 49 d 5 3 Find the area of the triangle in sqf a 55 b 66 c 77 d 88 III A right trapezoidal wall has an angle of elevation 30 the smaller height the base lengths 8m with an area of 40sqm 1 Find the smaller height in m a 2 7 b 2 8 2 9 d 3 2 Find the larger height in m a 7 2 b 7 3 c 7 4 d 7 5 3 Find the perimeter in m a 22 9 b 23 9 c 24 9

32 In the diagram below EF intersects AB and CD at G and II respectively and GI is drawn such that GII III A C H E F If mZEGB 50 and m DIG 115 explain why AB CD B

33 Given Quadrilateral ABCD is a parallelogram with diagonals AC and BD intersecting at E A B Prove AAED ACEB D E C

19 What is an equation of a line that is perpendicular to the line whose equation is 2y 3x 10 and passes through 6 1 1 y 2 y 2 3 x 5 2 x 2 3 y 3 x x 1 2 4 y x 10 3