Similarity
If two rectangles are similar and one has dimensions twice another. How do the perimeters compare?
The perimeter of the larger figure is twice as big as the perimeter of the smaller rectangle.
1/2 + 3/4 =?
5/4, 1 1/4, 1.25
A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
What is the theoretical probability of choosing a yellow balloon?
3/25
A square has a side length of 6 units. Find the area and perimeter.
The area is 36 square units, and the perimeter is 24 units.
Find two proper factors of 76
Two of this set: 1, 2, 38, 4, 19
If two rectangles are similar and one has dimensions three times the other. How do the areas compare?
The area of the larger figure is 32, or 9, times the area of the smaller figure.
2 - 2/5 = ■
8/5 or 1 3/5
A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange. What is the probability of not choosing a red balloon?
10/25
A juice can is about 2.25 inches in diameter. What is its circumference?
Approximately 7.07 in.
Find all the factors of 171
1, 3, 57, 171
Rectangle A measures 3 inches by 5 inches. Find the measures of the next 3 bigger rectangles that are similar to rectangle A.
6 in. x 10 in., 9 ft x 15 ft, 12 m x 20 m
3/8 * 6/7 = ■
18/56 or 9/28
A bag contains 25 balloons:15 red, 3 yellow, and 7 orange. What is the theoretical probability of getting a yellow or an orange balloon?
10/25
Give the area of two rectangles with perimeters of 18 units.
A 2 * 7 rectangle has a perimeter of 18 units and an area of 14 square units. A 4 * 5 rectangle has a perimeter of 18 units and an area of 20 square units.
Find the least common multiple for 35 and 175
175
A figure is put in a copier using a copier enlargement factor of 125%. What is the scale factor, or ratio of similarity, of the copy to the original figure?
5/4
1 2/3- 5/6 = ■
A bag contains 25 balloons: 15 red, 3 yellow, and 7 orange.
The number of balloons of each color is doubled. What happens to the probability of choosing a red balloon?
The probability is the same. 15/25 = 30/50
Give the perimeter of two different rectangles with areas of 25 square units.
A 5 * 5 square has an area of 25 square units and a perimeter of 20 units. A 1 * 25 rectangle has an area of 25 square units, but a perimeter of 52 units.
Find the greatest prime number less than 112
109
What is the minimum number of side and/or angle measurements needed to check the similarity of two triangles.
Three angles will have the same measure and the triangles will be similar. All three pairs of corresponding sides need to have the same ratio for the triangles to be similar.
5/7 divided by 2 1/3 = ■
15/49
25 Balloons: 15 red, 3 yellow, 7 orange. How many balloons of each color do you need to add to the original bag to make the probability of drawing a red balloon 1/2?
Add 2 yellow balloon and 3 orange balloons. This will make the probability 15/30, which is equal to 1/2.
Find the dimensions of a rectangle with an area of 36 square units and whole-number side lengths that has the least perimeter.
6 x 6
Find the greatest common factor of 128, 80, and 96.
16