Geometry Questions

Which polygon has an interior angle sum of 1260

Four interior angles of a pentagon measure 156 72 98 and 87 What is the measure of the final interior angle 108 O127 O 150 487

of Angle What is the sum of the interior angle measures of a regular decagon What is the measure of each interior angle of a regular decagon Theoren O

How can you best describe the outside of one of these objects using polygons The object has sides so it is 3 because the sides and It appears to be angles appear to be congruent

Which classifications apply to the polygon Check all that apply O convex concave O regular O hexagon O octagon

In the regular decagon shown what is the measure of angle 1

Line A is shown on the grid If there was a line that was parallel to the given line and went through the coordinate 1 2 what would the y intercept be 5 4 3 2 5 4 3 2 1 N 3 4 5 2 3 4 5

B The area of rhombus ABCD is 72 square units EC units and DB x 1 What is the value of x 09 O 10 O 14 O 16

5 4 3 2 4 W 5 4 3 2 14 2 3 Y 4 www X W N 6F1 5 X Kite WXYZ is graphed on a coordinate plane What is the approximate perimeter of the kite Round to the nearest tenth O 10 6 units O 11 5 units O 14 0 units O 16 2 units

A greeting card uses a geometric design containing 4 congruent kites The card is 4 inches wide and 8 inches long What is the area of one kite O4 sq in O 8 sq in 12 sq in O 16 sq in

A company designs a logo using a kite figure around letter t The logo is 12 centimeters wide and 16 centimeters ta What is the area of the logo 48 sq cm 96 sq cm 144 sq cm 192 sq cm

A company designs a logo using a kite figure aroun letter t The logo is 12 centimeters wide and 16 centimeters What is the area of the logo 5 O 48 sq cm 96 sq cm O144 sq cm O 192 sq cm

A E LU C B The area of rhombus ABCD is 120 square units AE 12 and BD x 2 What is the value of x and th length of segment BD X BD units

The area of a kite is 51 68 square inches One diagonal measures 15 2 inches What is the measure of the other diagonal O 3 4 inches O 6 8 inches O 13 6 inches O 15 2 inches

y 2 Swings Sandbox 4 6 Slide Merry go round 8 10 12 14 16 18 20 x A sandbox is shaped like a kite Each unit on the coordinate plane represents one foot A planner woul like to replace the wooden border around the sandbo How many feet of wood does he need Round up to the nearest whole number feet

The coordinates of rhombus ABCD are A 4 2 B 2 6 C 6 8 and D 4 0 What is the area of the rhombus Round to the nearest whole number if necessary O 30 square units O 60 square units O 102 square units O 120 square units

140 S COT 2 2 4 S R 8 10 12 14 16 18 20 x How can you find the perimeter of the rhombus O Find QS RT O Find QT TS O Use the distance formula to find QT then multiply by 4 O Use the distance formula to find QT and QR add the distances then multiply by 4

K 5 ft 10 ft 6 ft M wants to put a 4 foot by 4 foot shed on the land He ca only do this if the height of the trapezoid is at least 4 5 feet What is the height of the trapezoid feet

3 Determine the volume of the figure below Round to the nearest tenth 1

18 16 14 12 10 8 6 4 2 0 y 2 B 96 A C D 4 6 8 10 12 14 16 18 X What is the area of the trapezoid O 34 square units O 42 square units 84 square units O 118 square units

4 The cube below is being filled with water The cylinder is solid and is unable to be filled with water Determine the volume of water in the cube Round to the nearest tenth K2 4 4

6 Q1 SPIRAL Determine the value of x and y y 23 63 2x 17

5 An 18 inch tall cone has a volume of 2167 in What is the radius of this cone C 16 in A 18 in B 12 in D 6 in

1 Determine the volume of the composite figure below 2 cm 3 cm 1 5 cm 2 cm 2 cm 2 cm

2 Determine the volume of the figure below when the pyramid is removed 3 ft 3 ft 3 ft

The image shows a circle with a shaded sector 60 The area is What is the area of the shaded region 30 ft the arc length is square units What is the arc length of the sector units

A sector of a circle has central angle 210 degrees and arc length 287 units What is the radius of the circle The sector is of the total circle The formula we can use to find the radius in this problem is The radius of the circle is units

4 The cube below is filled with water A screw in the shape of a cylinder is solid and drilled inside c cube Determine the volume of water inside the cube Round to the nearest tenth in 8 in 8 in 8 in

YOU DO ROUND 2 3 Everton poured milk into his favorite cylinder bowl after pouring in cereal The base of the bowl had a area of 75cm and the bowl had a height of 10 cm If the bowl was filled with 110 cm of milk what is the volume of the cereal in the bowl

1 Determine the volume left in the cylinder after the shaded cone region is removed Round to the neares 16 24

a water what is the volume of water in the figure Round to the nearest whole number The area of the square base is 25 in2 and the height of the figure is 7 in If 25 of the figure is filled with Water is removed from the figure so that it is at a height of 3 in What is the volume of the water in the tank now

1 Determine the volume of the figure below Round to the nearest tenth 4 ft 14 ft 8 ft 12 ft 8 ft

2 An ice cream cone has a volume of 17 in What is the combined volume of ice cream inside the cone and the scoop on top given the scoop below 12 cm

More on Coordinate Geometry Question 9 A line segment has an endpoints at 4 25 19 and What is the location of the point that divides the segment in a ratio of 1 4 Select one O 3 7 25 O O O 6 5 7 5 75 11 5 15

6 List the volumes of the figures below from greatest to least 18 yd 14 in 5 in 10 yd 15 yd 19 yd

5 For each scenario below determine whether you would find the surface area or the volume a Determine the amount of water in a fishtank Surface Area b Determine how many cans of paint would be needed to paint a room Surface Area Volume Surface Area c Determine the amount of cloth needed for a protective cover for a car d Determine which box has more cereal Volume Volume

4 Q1 SPIRAL Determine the solutions to the equation below x 16x 80

1 The sphere below needs to be painted How many square meters of paint are needed 9m

3 Darren found a punctured basketball in his basement and needs to fill it up with air If the diameter of the ball is 6in how much air will he need to fill the whole ball 3 a 113 in b 345 7 in 3 c 904 3 in 3 d 589 in

15 Label wavelength and amplitude of this wave trequency Wavelength trough 16 How many cycles is the wave in question 14 displaying crest amplitude 17 If the wave above is an electromagnetic wave and it took 2x10 5s what is its frequency and wavelength

A group of students at a high school took a standardized test The number of students who passed or failed the exam is broken down by gender in the following table Determine whether gender and passing the test are independent by filling out the blanks in the sentence below rounding all probabilities to the nearest thousandth Male Female Since P male fail events are Passed Failed 83 4 8 115 and P male the two results are so the

Identify the image for the following and the center of dilation at the origin 6 5 4 3 2 A B 9 8 7 6 5 4 3 2 1 4X 10 1 2 3 4 5 6 7 8 9 Z Y 1 2 3 4 5 6 7 9 8 7 6 5 4 3 2 1 7 6 5 4 3 2 10 2 3 4 5 6 7 8 9 9 8 7 6 5 4 X 234 Y 3 2 1 Y in MEU Y 9 Z

Similarity of Transformation Lesson Posttest Question 3 Points 1 Which of the following transformations is a dilation O x y x 4 y O x y x 4 y 4 O x y 4x y O x y 4x 4y

Points 2 Question 6 If the scale factor k 0 8 then the original figure is O enlarged O shrunk O congruent O None of the choices

Question 4 Find the vertices of the triangle ABC after dilation with a scale factor of 1 2 and whose center of dilation is at the origin 6 0 8 Y Points 2 2 A 4 6 B C B QA 3 3 B 7 3 C 7 7 O A 3 3 B 3 7 C 7 7 O A 1 5 1 5 B 3 5 1 5 C 3 5 3 5 4 615 15 B G 15 35 C 635 351

Lesson Posttest Question 7 Points 1 The vertices of a polygon are A 2 2 B 2 4 C 4 4 and D 4 2 and it is dilated by a scale factor 4 Find the dilated coordinates of A O 8 8 O 8 8 O 8 8 O 8 8

12 Find the value of a OA 16 OB 4 OC 10 OD 12 6

7 Find the perimeter of the figure below 8 10 OA 30 OB 66 OC 58 OD 72 15

B C F 70 A 50 D E Both segment BD and segment AC are diameters of circle F Determine the measure of each of the following degrees the measure of angle CFD is the measure of arc AB is the measure of arc AE is the measure of arc ACB is the measure of angle CFE is the measure of arc BC is degrees degrees degrees degrees degrees

5 Find the value of x OC OD 5x K OA 32 OB 14 OC 27 D 54 C A 3x 54 D