2D Geometry Questions and Answers

Consider quadrilateral JKLM below 9 8 7 5 54 3 M L Length of JM J Note that JKL M has vertices J 4 6 K 8 1 L 3 2 and M 1 3 Complete the following to determine if JKLM is a parallelogram Length of KL 0 K a Find the length of JM and the length of KL Give exact answers not decimal approximations

5x 2 X 6x Find x if the given figure is parallelogram

L 70 0 M What is the measure of angle LMN if the figure is a trapezoid degrees

L 2x 3 X 4x 21 M N What is the value of x is the figure is a rectangle

What is the sum of the measures of the interior angles of the figure below M Q Select one O a 900 O b 540 O c 360 O d 720 N P

Select one Oa measure of arc BC 39 4 b Oc 90 measure of arc BC measure of arc BC 140 6 measure of arc BC 70 3 E P 140 6 A B

B A 5 C b Find the value of x to the nearest tenth 8 Select one sin A a cos A b C A tan A 2 2 O a 51 3 O b 38 7 O c 32 0 O d 58 0

B Q C b sin A a C cos A A tan A Select one or more Ocos 48 x 14 sin 42 x 14 sin 48 x 14 Which equation s can be used to find the value of x Choose all that apply A 14 42 cos 42 14 x b C

In spherical geometry lines are called O A great circles OB radii O C line segments O D diameters

ect one a segment AE 12 b segment AE 10 segment AE 14 5 d segment AE 14 A What is the length of segment AE B E 15 8 D 10 C

ect one a mzDEC 114 b m DEC 66 cm DEC 57 d m DEC 123 The measure of arc AD 42 and the measure of arc BC 72 What is the m2 DEC 42 D A E F B 72 C

ect one a mzBEC 71 b m BEC 82 cm BEC 142 d m BEC 41 The measure of minor arc AD 112 and the measure of minor arc BC 30 What is the m BEC 112 A D 14 B 30 E

The measure of the inscribed angle BEA 67 8 What is measure of major arc BEA B E lect one a The measure of major arc BEA 292 7 b The measure of major arc BEA 135 6 The measure of major arc BEA 112 7 Od The measure of major arc BEA 224 4 67 8

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

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

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

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

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

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

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

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

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

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

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

13 The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E B C E X D A What additional information is sufficient to prove that parallelogram ABCD is also a rhombus 1 BD bisects AC 2 AB is parallel to CD 3 AC is congruent to BD 4 AC is perpendicular to BD

5 in 3 in Volume 6 in 9 in 2 in

Which is the best name for the quadrilateral with vertices at 2 2 5 2 1 5 and 2 1 A parallelogram B rectangle C rhombus D square

Triangle ABC has coordinates A 1 3 B 2 0 and C 4 1 The image of the triangle after a sequence of transformations is triangle A B C where A 5 3 B 4 0 and C 2 1 Write a sequence of transformations that takes triangle ABC to triangle A B C yt 5 4 A 3 21 B 6 5 4 3 2C1 34 2 4 5 6 A C B 1 2 3 4 5 x

linder 6 c m Surface Area 12 cm

Rectangular Prism Surface Aras Surface Area of Rec WWE 13 mm

In the circle below IK is a diameter Suppose m 1J 44 and mLIJL 28 Find the following a m JIK 0 b m 2 KJL X

2 Two square towns with the given populations are shown below surrounded by water Which of the two towns has a greater population density 20 000 4 miles 35 000 7 miles

Consider the following function Step 1 of 2 Identify the general shape of the graph of this function Answer 8 x 2 3 X L Ay 66666666 Ay x

3 The mass of the object above is 400 grams Determine the density of the object 7 in 2 3 in

4 SAT Question The system of equations below has solution x y What is the value of x a 3 b NIN 2 C 4 d 6 1 2Y 4 1 x 2y 2