Exploring Similar Triangles and Proportions

The video tutorial covers the concept of similar triangles, focusing on calculating side lengths, enlargement ratios, and perimeters. It explains how to find the value of x in similar triangles, determine the enlargement ratio, and use it to calculate missing side lengths and perimeters. The tutorial also discusses the sum of angles in similar triangles and relates enlargement ratios to area and perimeter calculations.

If triangle ABC is similar to triangle DEF, what is the relationship between the sides DE and AB?

• DE is three times the length of AB

• DE is equal to AB

• DE is half the length of AB

• DE is twice the length of AB

Given that DE is 9, AB is 3, and AC is 4, what is the value of DF?

• 15

• 6

• 12

• 9

What is the enlargement ratio of triangle DEF to triangle ABC if DE is 9 and AB is 3?

• 3:1

• 5:1

• 2:1

• 4:1

If the enlargement ratio is 3:1, what is the value of EF if BC is 6?

• 21

• 12

• 15

• 18

What is the perimeter of figure EFGH if the enlargement ratio is 4:3 and the perimeter of ABCD is 54?

• 72

• 81

• 64

• 90

If one side of figure EFGH is 16 units, what is the length of the corresponding side in figure ABCD given an enlargement ratio of 4:3?

• 12

• 6

• 9

• 8

If angle A is 40 degrees and angle B is 55 degrees in triangle ABC, what is the measure of angle C?

• 95 degrees

• 65 degrees

• 75 degrees

• 85 degrees

Given 4x + 12 = 40, what is the value of x?

• 8

• 7

• 6

• 5

If the enlargement ratio is 4:1 and the area of triangle ABC is 50, what is the area of triangle DEF?

• 100

• 800

• 400

• 200

If the perimeter of triangle DEF is 120 and the enlargement ratio is 4:1, what is the perimeter of triangle ABC?

• 60

• 50

• 40

• 30