UNIT TEST answer
1.Write the ratio in the simplest form 16:24
2:3
2.Solve the following proportion p/6=7/8
P=5.25
3. Chris’s uncle has a model car the model id 6 inches long and 3 inches wide. the actual car is 75 inches long what is the car actual width if we assume the model’s proportion are accurate? if necessary, round to the nearest tenth of an inch
37.5 INCHES
4.find the unit rate for 521 miles in 14 hour
37.21 MILES/HOUR
5.in six months 33.6 gallons were used find the unit rate
5.6 GALLONS/MONTH
6.on a recent day one U.S dollar was worth 1.09 euros if you were exchange 157 euros on that day how many U. S dollars would you have received
$144.04
7. the pair of polygons is similar find the value of x
40 IN
8.two ladders are leaning against a wall at the same angle as shown how long is the short ladder
28 FT
9. the side of a rectangle are increased by a scale factor of 4 the perimeter of the smaller rectangle is 20 cm what is the perimeter of the larger rectangle
80 CM
10. a right triangle has an area of 13 m^2 the dimension of the triangle are increased by a scale factor of 3 what is the area of the new triangle
117 M^2
11. figure A’B’C’D’ is a dilation of figure ABCD find the scale factor classify the dilation as an enlargement of a reduction
SCALE FACTOR 3; ENLARGEMENT
12.the width of a picture is 20 cm using a color copier you reduce the width of the picture to 5 cm what is the scale factor of the dilation
1/4
13. on a given blue 1inch=30 feet if the dimensions of a meeting room on the blueprint are 1.5 inches * 1.25 inches what are its actual measurements
45 IN. * 37.5 FT
14. using 1 inch = 15 feet as the scale factor what are the blueprint dimensions of a room in a model house that is actually 30 feet * 40 feet
2 IN * 3 IN
15. the scale of a map is 1 inch = 25 miles how many miles does 1.25 inches represent
31.25 MILES
16.the ramp shown below is used to move crates of apple to loading docks at different heights when the horizontal distance AB is 12 feet the height of the loading dock BC is 6 feet what is the height of the loading dock DE
17 FEET
17.A bag contains 10 white golf balls and 6 striped golf ball a golfer wants to add 112 golf balls to the nag he wants the ratio of white to stiped golf balls to remain the same how many of each should he add
ratio 10:6 so 10+6 = 16 112/16 =7 white balls: 10 * 7 = 70 striped balls: 6 * 7 = 42 Answer: he needs to add 70 white balls and 42 striped balls to keep the same ratio 10:6
18.the coordinates of quadrilateral VWXY are given below find the coordinates of its image after a dilations with the given scale factor V(6,2), W(-2,4), X(-3,-2), Y(3,-5), scale factor of 2
When given the dilation scale factor to find the image, we simply multiply the object coordinates with the scale factor. ∴The image V', W', X' Y' will be; V'⇒2(6,2), W'⇒2(-2,4), X'⇒2(-3,-2) and Y'⇒2(3,-5). The coordinates of the image are; V'(12,6), W'(-4,8), X'(-6,-4), and Y'(3,-10)
19. tell whether the pair of polygons is similar explain why or why not
PQRS and TUVW are similar. We are give two polygons. Sides of first polygon are : PQ = 8 ft QR= 13ft RS = 8ft PS = 13ft. Sides of second polygon: TW = 2.4 ft TU = 5.2 ft UV = 2.4 ft VW = 5.2 ft. We can see that PQRS and TUVW are parallelograms. Note: If an angle of a parallelogram is equal to an angle of another parallelogram then parallelograms would be similar. We can see that <Q ≅ <T = 120°. Therefore, PQRS and TUVW are similar.