Geometry Questions

1 What is the sum of the measures of the interior angles of an octagon 2 What is the sum of the measures of the interior angles of a 25 gon 360 3 What is the measure of each interior angle of a regular hexagon 30 4 What is the measure of each interior angle of a regular 16 gon 5 What is the sum of the measures of the exterior angles of a decagon 6 What is the measure of each exterior angle of a regular 30 gon 13 FOKUS Que 7 An exterior angle of a regular polygon measures 22 5 How many sides does it have 8 An interior angle of a regular polygon measures 170 How many sides does it have

18 Find m BCA 9x 1 A B 5x 12 10x 37 C

15 Find the value of x 10x 6 13x 2 71 8x 1

16 Find m2V S X 9x 19 7x 3 T 128 W 111 V U 5r 8

17 If the figure below is a regular polygon find the value of x 9x 18

13 Find the value of x 136 132 129 X 124 141 158 116

12 Find the value of x 87 105 xo 135 92 work

14 Find the value of x 135 3x 31 4x 15 6x 8 5x 4 x644 7x 64 120

5 Find the area of blue portion of the irregular shape Round your answer to the nearest tenth 1 po 2 in O2 7 in 09 7 in 03 4 in

4 Find the area of the irregular shape Round to the nearest tenth 1 point 8 cm 5 cm O90 2 cm 241 cm 65 1 cm 072 3 cm

D rectangle trapezoid quadrilateral parallelogram rhombus What is the measure of an interior angle of a regular 10 gon C D A 80 B 36 216 144 In parallelogram WXYZ find the angle that is congruent to ZXWZ X A ZXYN B ZXNW C ZXWN D ZXYZ N Z Y 16 What must the values of a and b be for PQRS to be a parallelogram A a 2 b 5 a 4 b 2 B a 17 b 12 4x X Find the value of the variables D 100 2y C D 16 not enough information 6x 8 B y 17

True or false If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram A True B False Classify the figure in as many ways as possible A rectangle quadrilateral parallelogram B rhombus trapezoid quadrilateral parallelogram C rectangle square quadrilateral parallelogram rhombus D rectangle trapezoid quadrilateral parallelogram rhombus 133 How many sides does a polygon have if each exterior angle measures 18 Items 2 3 Quadrilateral PQRS is shown 4a 1 R 15 6b P B Q 6x 13 2a 9 7x 5 114 What must m4QPS be for PQRS to be a parallelogram A 18 B 59 a 17 b 12 C D S C 116 10 What must the values of a and b be for PQRS to be a parallelogram A a 2 b 5 a 4 b 2 not enough D 121 not enough information

Choose the correct answer Show your solution if possible Use the information in the diagram to solve for x The diagram is not to scale A 84 B 219 C 39 D 129 62 Find the value of x A 120 B 60 C 50 D 150 2r 101 1 the to 68 120 In parallelogram ABCD find BC A 25 B 8 C 9 D 17 Find the value of x A 23 B 80 C 86 D 103 63 40 Complete the statement 17 C B

PQRS is a kite Find the value of x A 122 B 22 2 C 3 D 4 115 S 5x 4 7x 2 R Complete the statement If both pairs of opposite sides of a quadrilateral are then the quadrilateral is a parallelogram A perpendicular B congruent C adjacent

1 2 3 W a Y 12 M 13 K 16 12 34 L B 5 C X cos A sin A sin W tan A cos W tan W sin L cos L tan L as a fraction in simplest form sin C cos C sin X tan C cos X tan X sin M cos M tan M

2 Jake leaned a 12 foot ladder against his house If the angle formed by the ladder and the ground is 68 how far from the base of the house did he place the ladder 13 A ramp is used to load suitcases on an airplane If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25 how long is the ramp

6 4 x 21 26 Solve for x Round to the nearest tenth 5 19 28 7 32 41 55 8

What is TRIGONOMETRY TRIGONOMETRIC RATIOS A b C a B Each acute angle of a right triangle has the following trigonometric ratios The ratio of the leg opposite the angle to the hypotenuse SINE COSINE TANGENT The ratio of the leg adjacent to the angle to the hypotenuse The ratio of the leg opposite the angle to the leg adjacent to the angle sin A sin B COS A cos B fan A tan B

1 Use rectangle ABCD as shown below for both Parts A and B Decide which value best completes each statement 18in B 15in A 12in Part A The measure of diagonal BD is Part B The perimeter of triangle CDE is E in C D

8 int s 1 1 In order for RECT to be a rectangle what must the value of x be X HIDE HINT THIS IS A RECTANGLE NOT A SQUARE R K 2x 6 42 H C

Find the measure of x P e X 1 4x 3x 3 S R Part 2 Find the measures of PS and QR QR

4 Using the graph below with the following points find the length of the two diagonals to determine if TUVW is a rectangle or not Your answers must be to the nearest tenth or it will be considered wrong T 5 0 U 7 3 V 9 6 W 3 9 10 V W 01 8 6 10 18 Is the figure a rectangle X 10 V Length of diagonal TV to the nearest tenth Length of diagonal UW to the nearest tenth is units units

LMNP is a rectangle Find the value of x and the length of each diagonal LN 7x 3 and MP 4x 3 L P X mLN M N

X BOMR is a rectangle Find x B R 7x 2 5x 16 M

5 X RECT is a rectangle Find x R 4x12 E x 2 T

2 A 30 60 90 triangle is shown below Find the length of the side labeled y y 60 2 3 30

n the blank If a quadrilateral is a parallelogram then opposite If a quadrilateral is a parallelogram then If a quadrilateral is a parallelogram then consecutive supplementary If a quadrilateral is a parallelogram then opposite sides are If a quadrilateral is a parallelogram then diagonal are parallel angles are congruent are each other Sides Diagonal Congruent Opposite Bisect Consecutive

3 A rectangle has one vertex on the graph y 36 x in Quadrant I one on the origin one on the positive y axis and the fourth one on the positive x axis Find A x Graph calculator or DESMOS and find the max area and the x value width that gives that maximum

1 Using the graph of the function f x in the diagram below a b C 17 16 15 14 134 12 11 10 9 84 7 6 worth 8 points Draw the secant line over the interval 0 6 Approximate the slope of the secant line Draw what appears to be a tangent line at x 8 Approximate the slope of the tangent line Write an equation of the tangent line at x 8 2 1 4 10

Convert 9396 to a numeral in base 9 24900

Find a PQ to the nearest tenth and b the coordinates of the midpoint of PQ P 3 2 Q 5 1 a PQ 3 6 Round to the nearest tenth as needed b The coordinates of the midpoint of PQ are Type an ordered pair

Use the map shown below to find the distance between cities A and B to the nearest tenth 10 8 6 4 8 06 10 The distance is Round to the nearest tenth as need

Graph the points A 5 3 B 1 7 C 1 5 and D 3 1 Draw rectangle ABCD and a Find the midpoints of AC and BD b What appears to be true about the diagonals of a rectangle Draw the rectangle and diagonals Choose the correct answer below OA 10 17 OB 17 O C G O D 2 ZZP K7

Use the image below to answer the following question Find the value of sin x and cos y What relationship do the ratios of sin x and cos y share 12 5 O

The circumference of a circle is 14 inches Find the circle s radius and diameter The circle s radius is 7 inches The circle s diameter is inches

A rectangle has a width of 48 centimeters and a perimeter of 212 centimeters What is the rectangle S The length is cm

Find the measures of the sides marked X and Y Then find the perimeter of the polygon Assume that all angles are right angles What is the measure of the side marked X in Type an integer or a simplified fraction 1 in X in 15 in in

A 7 1 foot by 6 foot concrete wall is to be built using concrete blocks Find the area of the wall The area of the wall is sq ft Type an integer or a decimal

A 7 1 foot foot by 6 foot concrete wall is to be built using concrete blocks Find the area of the wall The area of the wall is sq ft Type an integer or a decimal

A flag measures 475 feet by 220 feet Find its area 1 220 feet 475 feet The area of the flag is feet Simplify your answer square feet

The surface area of a three dimensional figure is the sum of the areas of all of its surfaces You can find the surface area by finding the area of a net for the figure a Draw a net for the solid shown Label the dimensions b What is the area of the net What is the surface area of the solid a Choose the correct answer below A 5 in 5 in Q T 12 in SOB 5 in T 12 in 1 Q 5 in O C 5 in 5 in 12 in o C T 12 in 1

Find the area of the shaded figure A mm Type an exact answer in terms of x O 50

Introduction to Piecewise Functions Weight pounds 100 50 T Time months 2 10 Write a piecewise function to describe the graph f x

Find the area of the shaded figure A Imm Type an exact answer in terms of OF 40 mm 140

Find the area of the shaded region All angles are right angles chodod region is 2 m www 2 m 12 m 8 m 2m 4 m

Find the area of the circle with the following dimension Diameter 10 cm cm The area is Round to the nearest tenth as needed

Find the area of the circle 2 n The area is Type an exact answer in terms of t m 7m

Denise is training for an upcoming charity run The course is designed as shown to the right How many miles will Denise run during the event Denise will run miles 2 mi 6 5 mi 6 5 mi

A meteor crater is 3400 feet in diameter Approximate the distance around the crater Use 3 14 for The distance around the crater is approximately Type an integer or a decimal feet

Find the circumference of the circle Give the exact circumference and then an approximation Use x 3 14 Exact circumference mi www 21 mi