Geometry Questions

Find the area of the regular polygon with the given apothem a and side length s decagon a 22 m s 14 3 m The area is m Simplify your answer Round to one decimal place as needed

22 32 X M 14 N In the diagram the length of the external portion of the secant segment PN is The length of the entire secant segment LN is The value of x is

Examples Find the indicated angles in each of the triangles below Round your final answers to the nearest hundredth Figures may not be drawn to scale a 15 17 X X

Complete the following sin 116 81 ing O cos A sin

2 If sin 0 3 0 0 a sin 20 A 0 find the exact value of each of the following 0 b cos 20 a sin 20 Type an exact answer using radicals as needed 0 c sin 2 b cos 20 Type an exact answer using radicals as needed d cos c sin Type an exact answer using radicals as needed 0 2 Type an exact answer using radicals as needed d cos

6 Determine the length of side x to the nearest inch X 16 12

3 Calculate the value of z to the nearest hundredth tan 24 34

B x 2 E D x 5 x 12 C BE is 2 units longer than AE DE is 5 units longer than AE and CE is 12 units longer than AE What is BD units

A D E B Chords AC and BD intersect at E with BD 7 units DI 2 units and AE 4 units What is the length of segment CE units

4 Determine the length of side x to the nearest tenth K L 172 cm 55

2 Calculate the value of y to the nearest tenth cos 52 Y 80

7 in 4 in Kylie writes an equation to solve for the diameter d of the circle shown Solve Kylie s equation to find the diameter of the circle 4 d 4 7 What is the diameter O 7 5 in 8 25 in O 11 25 in O 13 25 in

Express cos C as a fraction in simplest terms A 22 B 39

Find the area of the regular pentagon with apothem a 1 6 in and side s 2 4 in Round your answer to the nearest tenth

Solve for x Round to the nearest tenth if necessary 33 8 8 x M

Find the value of tan N rounded to the nearest hundredth if necessary E N 5 M 92 67 L

6 8 U V 10 T S If secant segments SR and TR intersect at point R find the length of VT Start by relating the secants and segments theorem to this diagram RS RV Substitute values from the diagram into the equation 8 16 Solve for VT VT 1

Solve for x Round to the nearest tenth if necessary L 54 M X 58 K

Express cos U as a fraction in simplest terms U 30 94 T S

In A ABC LC is a right angle BC 200 and m ZA 33 Which expression represents the length of AC Select one O O O O 200 tan 33 200 Sin 33 200 tan 57 200 sin 57

help Given right triangle ABC with altitude BD drawn to hypotenuse AC If AD 3 and DC 11 what is the length of BD in simplest radical form A B 3 Answer BD D 11 Submit Answer 30

Find the area of the regular polygon 26 cm

12 4 C x 7 x 3 What is the length of the longer of the two chords shown Length of longer chord w units

The figure below is a square Find the length of side a to the nearest tenth V10

Express tan B as a fraction in simplest terms 28 B D 55 C

Find the area of the regular polygon Round your answer to the nearest tenth 16 cm

Express cos R as a fraction in simplest terms R 25 Q 24 P

Find the area of the rhombus Note The dimensions shown are for half the diagonal 25 ft 22 ft

The triangle below is equilateral Find the length of side a in simplest radical form with a rational denominator 10 X

Find the area of the kite 5 cm Answer 3 cm 3 cm 3 cm

y R T P N Which statement is true regarding the diagram of circle P O The sum of y and z must be 2x O The sum of y and z must be x O The difference of z and y must be 2x O The difference of z and y must be x

Circle X is shown in the diagram d X N b Which equation can be used to solve for m 21 0 m21 a b 0 m 1 a b 0 m21 c d Om 1 c d

Find the area of quadrilateral QRST Answer 4 2 2 4 y X R

Find the length of side x to the nearest tenth 30 1 x 60

A secant and a tangent meet at a 90 angle outside the circle What must be the difference between the measures of the intercepted arcs 45 O 90 O 180 O 270

36 D 48 O In circle O what is m E 84 O 96 O 120 O 168

B A 38 37 E TL 32 G H In circle C what is mFH O 31 48 O 112 O 121

D X 0 Which equation is correct regarding the measure of MNP Om MNP O m MNP O m MNP Om MNP 2 x y 2 x y z y z y

210 0 A 150 B In the diagram of circle O what is the measure of ZABC 30 40 50 60

Find the area of quadrilateral QRST T AY OS 2 4 Answer

37 2 25 In circle Y what is m 21 O 6 O25 O 31 O 37

Find the area of the trapezoid 16 ft 10 ft wort 9 ft

133 A 1 N 2 147 In circle Z what is m 22 O 70 133 O 140 O 147

a X b Z Which equation is correct regarding the diagram of circ O OmZXZY OmZXZY OmZXOY OmZXOY a b a b a b a b

D 50 A 58 B E C What is the measure of angle AOC O 42 66 O 79

70 S R What is the measure of arc QSR

B 57 O Aaron is standing at point C watching his friends on a Ferris wheel He knows that he is looking up at a 57 angle and the measure of arc BD is 80 What is the measure of arc AED D

Use the information given in the diagram to prove that m Z JGI b a where a and b represent the degree measures of arcs FH and Jl G F a H J Angles JHI and GJH are inscribed angles We have that mZJHI band mZGJH a by the 2 Angle Because the JHI is an exterior angle of triangle measure of an exterior angle is equal to the sum of the measures of the remote interior angles mZJHI m JGI mZGJH By the 1 16 mZJGI a Using the subtraction property mZJGI b a Therefore m JGI b a by the distributive property

Tangent 160 to 51 What is the value of x X

110 C A 25 E D B What is the measure of angle ABC O 42 5 O 67 5 O 85 O 135