Problem 1 :
Triangle HIJ is similar to triangle STR, what is the perimeter of triangle STR
Problem 2 :
If the two triangles are similar
Find
i) Scale factor
ii) Ratio of perimeter
iii) Ratio of area
Problem 3 :
Two triangles have a scale factor of 2/3. The area of the larger triangle is 12 cm^{2}. What is the area of smaller triangle.
Problem 4 :
If the length of each side of triangle is cut to 1/3 of its original size, what happens to the area of the triangle ?
The new area is _______________ of the original area.
Problem 5 :
For the two triangles below to be similar, which of the following be true ?
a) x = 2y/3 b) c = 3y/2 c) x = 3y d) x = y
Problem 6 :
An architect is building a model of a tennis court for a new client. On the model, the court is 6 inches wide and 13 inches long. An official tennis court is 36 feet wide. What is the length of a tennis court ?
1) Perimeter of STR = 37
2)
i) Scale factor = 3 : 1
ii) Ratio of perimeter = 3 : 1
iii) Ratio of area = 3^{2} : 1^{2}
3) 5.3 cm^{2}
4) Area of smaller triangle = (1/9) of area of larger triangle.
5) x = 2y/3
6) 78 feet.
The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas.
Problem 1 :
Problem 2 :
Problem 3 :
Find the scale factor and the ratio of perimeters for each pair of similar figures.
Problem 4 :
Two regular octagons with areas 4 ft² and 16 ft²
Problem 5 :
Two trapezoids with areas 49 cm² and 9 cm²
Problem 6 :
Two equilateral triangles with areas 16√3 ft² and √3 ft²
Problem 7 :
Two circles with areas 2π cm² and 200π cm²
1) Perimeter = 1 : 2, area = 1 : 4
2) Perimeter = 3 : 5, area = 9 : 25
3) Perimeter = 4 : 3, area = 16 : 9
4) 1 : 2
5) 7 : 3
6) 4 : 1
7) 1 : 100
Feb 25, 24 07:44 AM
Feb 24, 24 11:07 PM
Feb 24, 24 08:49 PM