Geometry Questions

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

Use the figure on the right to find the length of DC 10 D E B

9 Find the value of x P R OA 8 OB 4 OC 44 OD 20 3x 6 X 10 W

The prism below is made of cubes which measure of a centimeter on one side What is the volume OA 27 cubic cm OB 7 cubic cm OC cubic cm D cubic cm Note Figure is not drawn to scale

17 Find the value of x 17 A 13 99 O A O B 09 R D 65 M B 10 D 12

Question 9 What criterion is used here to prove that the two triangles ABC and ADE are similar BC is given to be parallel to DE A D B O AA O SAS Points 3 O ASA C E

Find the area of the sector 270 7 in 15 61

Points 2 Determine the scale factor from the given vertices A 2 4 A 1 2 B 8 8 B 4 4 C 12 0 C 6 0 Question 1 O O 1 3 2 3 01 1 12 3 Complete Later Complete

Find the area of quadrilateral DEFG D E G 8 cm 16 cm 18 cm 10 cm F los

10 5 10 5 0 5 5 To map circle G to circle Q we could translate circle G by dilate the result about point Q by a scale factor of and then

11 Find the value of x OA 23 OB 17 OC 11 OD 19 3x 14 5x 8

3 Find the value of x A E OA 21 OB 7 OC 5 OD 15 105 797 5x B D

What is the missing length 38 mi p P area 1520 mi miles

6 Find the value of x OA 127 OB 254 OC 53 OD 74 106 M to

2 In OY the radius is 10 AB 50 and arc ACB 120 Find AD OA 60 OB 16 OC 25 OD 44

A 58 B The measure of arc BC is C D E In the figure segment AB and segment AC are tangent to circle D Determine the measure of arc BC degrees

10 PQ is tangent to circle O Find the value of x 0 OA 15 OB 13 O C 12 OD 20 5 P x PROPE 12 Q

H K J We are given that the measure of angle H is 13x 8 degrees and the measure of angle J 16x 2 degrees Determine the measure of arc KHI The measure of arc KHI is degrees

20 Find the measure of arc AB AB 5x 9 BC 16x 18 A C B

X Z Y We are given the following information In circle Z segment XY is tangent to circle Z at point X XY 9 6 and WY 16 Determine the length of a radius of the circle The length of radius of the circle is

Write an explicit formula for the sequence using the first five points shown on the graph an an 13 11 9 7 5 3 1 1 5 1 2 7 2 3 9 3 5 13 4 11 4 5 6 7 n

9 Arc AD 136 and Arc BC 50 Find as many angles as possible

Find the area of trapezoid STUV Round your answer to the nearest tenth if necessary V 10 in U 18 2 in 18 in 21 5 in 2 24 in inches Submit Answer

for each of the following determine if the triangles are congruent if so write the congruent statement give the reason and find x or x and y C A 2Y Y 2X 1 D 5y 3x 1 3y 2x 1 C

Question 7 The triangle ABC is compressed by a scale factor 0 5 and enlarged by a scale factor of 2 Find the coordinates of the dilated triangle ABC 8 7 6 5 4 3 Points 2 Y A 2 3 B 4 5 O A 2 2 B 4 7 C 7 7 6 A 1 1 B 2 3 5 C 3 5 3 5 A 1 1 B 2 3 C 4 4 A 2 2 B 4 7 C 7 7 7 8 9

Question 6 A triangle ABC is dilated about the origin The dilated triangle A B C is shown below Find the scale factor k C 0 8 A 8 8 Points 2 A 4 4 k 1 2 Ok 1 Ok 2 0 4 B 4 4 B 8 8

esson Posttest Question 2 Points 3 A triangle with vertices 1 1 2 5 and 5 3 is dilated by a scale factor of 3 about the origin Find the new coordinates of the vertices of the triangle O 2 2 4 10 and 10 6 O 3 3 6 15 and 15 9 O 2 2 4 10 and 10 6 O 3 3 6 15 and 15 9

Osimilarity Grade Results E A transformation that enlarges or reduces a figure is called O dilation O scale factor My Activities O congruent Tell me what you wal

Sson Posttest Question 10 Points 1 The ratio of the side lengths of the corresponding sides of the image to the original figure is called O scale factor O similarity O dilation O congruent

son Question 1 Determine the scale factor from the following similar figure 60 cm 6 cm 3 cm Original 10 Points 3 12 O 14 New Reset Reset button com ssment Reset 30 cm Questions 3 5 7 9

esson Posttest Question 5 Find the scale factor from the following similar figures 24 cm 8 cm 02 O 3 Points 3 04 12 cm Original New 16 cm

Lesson Posttest Question 10 The vertices of a square are A 1 1 B 1 8 C 8 8 and D 8 1 and it is dilated with the center of dilation at the origin and a scale factor of 2 Find the coordinates of B Points 1 O 0 5 4 O 2 16 O 16 2 O 4 0 5

Question 5 Find the coordinates of D if the given polygon is dilated by a scale factor of 4 AY 10 5 Points 1 0 O 40 24 40 24 40 8 40 91 A B 10 5 C D 10 X 15