Solving Problems with Similar Triangles

What is the distance Fred measured from one point on the riverbank to another directly across?

• 40 meters

• 25 meters

• 8 meters

• 5 meters

Which sides of the triangles correspond to each other in the proportion used to find the river's width?

• 40 and 8

• R and 5

• 5 and 8

• R and 40

What is the result of cross-multiplying to solve for R in the proportion?

• R = 5 * 40 / 8

• R = 40 / 8 * 5

• R = 40 * 8 / 5

• R = 8 * 5 / 40

What does the scale factor represent in the context of similar triangles?

• The difference in their angles

• The sum of their areas

• The ratio of their corresponding sides

• The ratio of their perimeters

How is the width of the river calculated using the scale factor?

• Multiplying 5 meters by 5

• Dividing 40 meters by 8

• Multiplying 8 meters by 5

• Dividing 5 meters by 5

What is the area of the smaller triangle if the base is 4 meters and the height is 3 meters?

• 24 square meters

• 7 square meters

• 12 square meters

• 6 square meters

How do you calculate the ratio of the areas of two similar triangles?

• Subtract the smaller area from the larger

• Add the areas of both triangles

• Multiply the areas and divide by two

• Divide the area of the larger by the smaller

What is the area of the larger triangle if the scale factor is 2 and the smaller triangle's area is 6 square meters?

• 24 square meters

• 12 square meters

• 6 square meters

• 18 square meters

If the scale factor is 5 and the area of the smaller triangle is 20 square meters, what is the area of the larger triangle?

• 100 square meters

• 500 square meters

• 25 square meters

• 400 square meters

What mathematical operation is used to relate the scale factor to the area ratio of similar triangles?

• Squaring

• Multiplication

• Subtraction

• Addition