Geometry Questions

Find the area of the following 5 6 m 8 2 m

18 Find missing lengths of the 45 45 90 triangle Y Remember to give answers in simplest radical form X 5 y x x

7 Find the measure of angle STR 186 P S T 112 R

A goldsmith designed a trapezoidal pendant as shown centimeters and area of the pendant ABCD is 42 squ 8 cm D C B

3 Find the arclength of the highlighted section 288 9 5 ft

23 Find missing lengths of the 45 45 90 triangle Your answer should be in simple radical form The triangle is a 45 45 90 triangle 25 X y y x x X

17 Properties of circles Find the value of x in the figure M X Ox 69 O x 138 x 42 x 111 L 138 N

7 Use sine or cosine to find height of the pole C 50 52 ft The pole is about A B X x feet tall rounded to the nearest tenth

8 Find the measure of arc QU U 46 R T35 S

20 Find the missing angle measure using sine cosine or Remember to use SOH CAH TOA to help you 10 O X O x 34 O x 42 x 56 x 48 15

22 Sum of Interior angles in a polygon Find the value of x using the sum of the interior angles of the polygon 6x x 28 x 20 0 x 8 x 19 120 8x 8 1x 5x 6 4x 14

5 Area of polygons Find the area of the kite O 1728 576 432 16 864 4608 9216 18 32

5 Properties of parallelograms Find the value of x and the measure of the smaller angle for the consecutive angles of the parallelogram x 114 6x The measure of the smaller angle is degrees

RY Solve for x 8 x w On Y Z 21x 12 X 10x 9

16 Use tangent to find the height of the tree 36 O 52 0 feet 36 0 feet 46 9 feet O 32 7 feet 45 ft h

15 Properties of circles Find the value of x in the figure O x 4 O x 7 O x 6 O x 5 6 X x 4 12

9 Properties of circles Use the diameter and chord to find the value of x Ox 22 O 20 O x 12 O x 11 T

12 Volume Find the volume of the prism 13in O 13in O 20in 36in 1in 1in

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