Geometry Questions

Select one Similarity Question 4 What value of x would make A PQR A MNL a O O 10 cm O 15 cm R 16 cm 14 cm 12 cm 16 cm Q M 1 18 cm 24 cm N

which triangle AD 24 IS similar to the given triangle Do 16 13

The image shows 2 triangles E An angle bisector K G A perpendicular bisector Match each description below with the correct segment or poin Point s equidistant from segments FE and FG Point s equidistant from points P Choose Choose Choose R Choose A A Q P

The diagram below shows circle O with radii OA and OB The measure of angle AOB is 120 and the length of a radius is 6 inches A 120 6 B Which expression represents the length of arc AB in inches

P 2b 2c S 0 0 T The coordinates of Q are b c The coordinates of Q are 2a 2b 2c The coordinates of Q are 2a 2b 2c R 2a 0 How the V Q X Select all true statements pertaining to the parallelogram drawn above

Select the correct answers from each drop down menu Triangle XYZ has an altitude as shown Eric and Maggie are both trying to prove the law of sines X Eric s Work h sin X h Y h h and sin Z Z h1 Maggie s Work h and sin X 7 24 ysin X The proof was correctly started by The next step in the proof is to sin Y zsin X and h1 Isin Z h sin Y and h2 0 by the

3 Find m B B 26 mi A 88 11 mi C

Consider the right triangle shown below that has an interior angle measure of radians ii What is the value of cos 0 Preview COF A mode 0 00 a Use the slider in the applet above to show a circle centered at the left most vertex of the triangle b Consider the terminal point P i What is the measure of the terminal point s vertical distance above the center of the circle in units of the radius of the circle Preview ii What is the value of sin 0 sin 0 c Consider the terminal point P i What is the measure of the terminal point s horizontal distance to the right of the center of the circle in units of the radius of the circle 2 4 cm Preview 8 2 06 cm Drettien 1 23 cm

Three interior angles of a quadrilateral measure 55 117 and 120 What is the measure of the fourth interior angle O 68 O 78 889

Which polygon has an interior angle sum of 900

I Find the missing lengths in each Isosceles Right Triangle 3 2 1 4 5 9 A X 17 12 y 12 6 34 8 6 60 10 18 X 45 y II Find the missing lengths in each 30 60 90 triangle 13 14 30 10 9 3 y 10 26 2 8 6 X 60 y 17 y 7 7 18 2 11 X 15 X 19 X 45 2 4 2 y 16 4 3 X y 30 X y 30 4 8 12 8 2 9 3 45 y 16 9 y 20 60 8 3 60 16

E Which is a correct description of the polygon O It is a concave pentagon because segment AE would extend into the inside of the polygon and it has five sides O It is a convex hexagon because it has six sides and none of the sides would extend into the inside of the polygon O It is a concave hexagon because segment AE would extend into the inside of the polygon and it has six sides O It is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon

What type of polygon is shown convex heptagon O concave heptagon O concave hexagon O convex hexagon

Which polygon has an interior angle sum of 1080

A T 8 B D S X C Prove the following using the two column proof format GIVEN AB CB and AD CD PROVE AABD ACDB Statements 1 AB CB and AD CD Reasons

x 12 60 57 519 108 What is the value of x 96 O 252

D C A EX 108 145 B F What is the measure of angle ACB 0

A lying the Polygon Interior Angle Sum Theorem An interior angle of a regular polygon has a measure of 108 What type of polygon is it The polygon is

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