Geometry Questions

21 Sum of Exterior angles in a polygon Find the value of x using the exterior angles of a polygon theorem 70 X 60 90

24 Surface Area Find the surface area of the sphere O113in O452in radius 4 in

Determine the scale factor of the geometric figure The points of each preimage are represented by circles and the points of each image are represented by squares 5 4 3 2 2 to 1 5 to 2 2 5 to 0 1 to 1 25 25 5 to 1 4 T 25 2 5 4 ch ON 29 3 4 S 2 5 0 M

19 Use the triangle to write the ratios for tangent sine and cosine as fractions M 1 sin R 2 cos M 3 cos R 4 tan M 5 sin M 6 tan R 53 45 C 28 R a b C d 45 53 28 45 45 28 28 53

pende paper Find all missing sides and angles using the law of 14 0 120 2 S

13 Properties Find the value of x in the figure O x 15 x 30 Ox 4 x 9 4x 9 15

4 Use geometric mean to find the height of the silo A farmer stands 10 feet away from a silo used to store feed for his pigs The farmer needs to determine the total height of the silo The farmer s eyes are 6 feet above the ground What is the total height of the silo 6 ft 22 67 feet 11 66 feet 16 67 feet 17 66 feet 10 ft 10 ft 6 ft

Ex TT What is the area of the following regular polygon M 1042 m

5 6 7 8 7 8 9 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 2 3 4 5 3 4 4 6 5 5 6 6 7 Suppose you roll two dice and add the sum What is the probability the sum P sum 7 Write your answer as a fraction

Independent paper worsheet 3 Find all missing sides and angles using the 14 0 120 a law of

Abby asked several kids how many hours of TV they watch each day She also recorded their age The table shows the data she col Hours of Television by Age Hours Watched Age 6 7 9 10 12 Hours of TV Which scatter plot represents the data in the table SAM Hours of TV h md 3 2 3 4 2 8 9 10 11 12 Age 7 8 9 10 11 12 Age Hours of TV NWAY Hours of TV 6 8 9 10 11 12 Age 7 8 9 10 11 12 Age

3 Find all missing 14 0 120 2 Sides and angles using

15 OP is tangent to OT and OS if AB 14 OT 6 and PS 8 Find OP 6 T A B 14 8 S

Using the figure below which congruence statement is correct D A A O A AEBA DEC O A ABC ABDA O A ADEA BCE E ARD A ABR tx B C

Given LM tangent to OC at point L which is an expression to represent mJK K C O L M OA 360 a b O B 360 2 a b OC 360 2a b D 360 2a b

ectangle ABDE and ABCD share side BD The area of rectangle ABDE is 36 square centimeters the length of DE is 9 centimeters and the length of CD is 6 centin E mat is the area of ABCD D

For parallelogram MNPQ find the following Q M 12 R 11 10 P 6 5 N Given PQ 28 QM 19 MN 4x 1 QR 17 Find 34 x 35 MN 36 NP 37 RN 38 QN

he box plots show innings pitched by two baseball pitchers in one season Pitcher 1 Innings Pitched per Game Pitcher 2 3 0 1 2 3 H 5 6 7 8 9 5 6 7 Which statement accurately compares the interquartile ranges of the two pitchers O The interquartile range of pitcher 1 is half the interquartile range of pitcher 2 The interquartile range of pitcher 1 is equal to the interquartile range of pitcher 2 O The interquartile range of pitcher 1 is almost twice the interquartile rang O The interquartile

B For square ABCD find the following A 3 5 6 12 11 10 09 7 2 8 D C Given AD 20 Find 49 DC 50 AC 51 mz1 52 m 12

Campground Map paths tents 1 cm H bathhouse 5 mi What is the actual distance between the two points at the campground O 25 miles O 50 miles O 100 miles O 150 miles 250 miles Scale

Zeith needs to buy tabric to make this Bag He will sew the white cross on top of the rectangle of blue fabric The dimensions of the flag are shown in the diagram below 3 in 1 in 3 in 5 in 5 in Find the area of each color of fabric in square inches that will show on the flag when Keith is finished There are square inches of blue fabric and

Suzanne is designing a garden for the Gateway Botanical Center She used a scale of 1 600 to make the drawing belov 15 cm What is the actual area of the garden in square meters 1m 100 cm O 126 m O 450 m O 882 m 5 cm O 1 125 m 2 700 m2

28 Find m21 29 Find m26 50 P D M 6 R 56 228 N

The length of AG in rectangle ACDG is 5 inches and the lengths of segments DE EF and FG are each 4 inche A B C

19 The graph of Line m passes through the points 0 4 and 4 2 as shown on the coordinate plane below Select one 1 4 2 O 1 3 O 2 6 O 6 2 y O 3 1 2 1 0 m Which coordinate pair describes a point on a line that is parallel to Line m and passes through Point C 0 4 3 0 C 89 1x

9 Find the value of x for which ABCD must be a parallelogram 0 14 4 B 2x 1 x 3 D C

Let ABCD be the trapezoid below You are given that D a AB 6 and DC 26 as demonstrated in the diagram The point E is the midpoint of AC and the point F is the midpoint of BC The midpoint of a line segment is as the name suggests the middle point between the two ends of the line segment B 6 A D E 26 F C a Write each of the vectors DB A and BC as a linear combination of a and 6 b Show that EF is parallel to DC

13 Hexagon side length 6 Congruent arcs with radius 3 are drawn with the center at each of the vertices SAY 38 5

18 Find the length of the bolded arc 285 12 cm

A A A ODP 2 81 Ans sin o 22 69 o sin 1 Sin Sin Ju 4 2 0 1963 0 2 926 C Solution sin l A 12 0 sin 2 e 37 1 8 on 82 8 1 2 8 l B 7 1 Find the block side sin fc 14 8 0 2926 OF Square 8 1 avea preasely and oppraimotely equals to 1 Right trangular A ODP pythosoros 8 PD 1 PD l 2 1 2 PD 7 J Can someone explain how to get the Area

C Determine the region in the space whose coordinates satisfy the inequalities x y z 4 x zs2 0sys4 0 x Osz 3 44

The area of a circle inscribed in a square is 109 cm Determine the perimeter and area of a circle circumscribed about that same square Express your answer correct to 3 sig figs Area of circumscribed circle Perimeter of circumscribed circle SQUARE CM CM

Based on the geometry below The Lambertian shading of the point on the plan will be 4 4 4 1 1 1 O66 077 88 Color intensity 20 Light source power 5 4 4 4 0 1 0 0 0 0 1 1 1

13 Using the unit circle below explain why cot 8 x y 1 0 I 5 pts

The diagram below shows the intersections of several roads Each of the roads is straight The roads First Avenue Ave Second Ave and Third Ave are parallel 300 1236 06 3 Fint 406 m Marisa drives from point A to point B along Broad St and then from point B to point C along Third Ave What distance to the nearest meter did she drive

The figures below are similar 3 ft V 216 ft 5 ft V 1 2 V What is the volume of the larger rectangular pyramid cubic feet

Right In the accompanying diagram AB is tangent to circle O and secant AD 3 points each 15 If AB 4 and AD 8 find AC A 8 16 If AB 9 and AD 27 find AC B 0 is best described as a

12 The owners of a water park want to build a scaled down version of a popular water slide for the children s section of the park The side view of the water slide labeled ABC is shown below 5x 0 5y WATER SLIDES SIDE VIEW 8T W feet c 50 20 80 60 20 WATER SLIDES TOP VIEW A 10 60 A 30 20 2888298 feet C 150 60 Points A B and C shown above are the corresponding points of the scaled down slide Which of the following would be closest to the coordinates of a new point C that will make slide A B C similar to slide ABC a 90 20 b 77 20 d 47 20

AFGJ and AGHI are shown below Which of the following guarantees AFGJ and AHGI are similar triangles FG JG and HG IG 23 21 and FJ GH ZF 23 and ZH ZI ZF ZH and ZFGJ SUGT

Which of the following statements about the imag below is true T 18 R 2 3 72 S W O The measure of TRU is 72 O Line VS and Line QS are parallel O Line TX and Line VS are perpendicular O ZTRU and ZURS are supplementary

4 Find the mil 9 55 C 95 b 75 d 190 5 Find the mu Q 32 b 54 C 64 d 108 86 f 40

Lesson Applying Trigonometric Functions to Solve for Missing Example In the diagram below AABC is a right triangle If zB is a right angle m C 44 and BC 12 Determine the length of AC to the nearest tenth Hyp A Opp B 44 C 12 Adj C

Right triangle DEF is shown below with the dimensions given in units D Select one O 20 F Which measurement is closest to the value of x in units O 14 9 O 4 8 13 2 14 5 1 E X

Find the value of X b 191 d 91 9 182 C 89 3 Find the value of X 0 5 b 7 5 178 C B 12x 10 7 5

In the figure two semicircles of radius 3 are contained inside another bigger semicircle with diameter being the segment AB What is the radius r of de the circle which is tangent to the three semi circles A O B

A certain store sells T shirts in 4 colors The number of T shirts sold in each color last month is shown in the bar graph below Use this bar graph to answe questions Number of T shirts Sold 12 10 8 6 gray tan Color black a Which color had the most T shirts sold Ogray O tan O black How many T shirts of that color were sold T shirt s white white b How many more gray T shirts were sold than black T shirts more T shirt s sold c For how many colors were there at least 6 T shirts sold color s

Right Triangle Trigonometry Question 1 The dimensions of A QRS shown below are in units Select one 81 O 15 S 9 Which ratio represents the value of sin Q O 7 2 3 4 3 5 Q 5 3 12 R

1 What is AB 9 10 b 20 d 40 C 30 2 Find the value of X 101 C 20 78 B

dimensional figure about the x axis Select one 1 5 432 1 5 4 3 2 11 1 2 3 4 5 2 3 4 45 5 a sphere with radius 2 a sphere with radius 4 y a hemisphere with radius 2 a hemisphere with radius 4 X

house to her school Select one 81 37 O 13 Cindy s House What is the approximate measure of the angle in degrees formed by Main Street and Broadway 53 5 blocks Broadway 75 Main Street 4 blocks School 3 blocks