Properties of Similar Triangles

The video tutorial explains the concepts of similar and congruent triangles. Congruent triangles have identical angles and sides, while similar triangles have the same angles but proportional sides. The tutorial demonstrates how to use these properties to solve problems, such as determining unknown side lengths when given one side of a similar triangle.

What are the two types of triangles discussed in the video?

• Acute and Obtuse

• Scalene and Right-angled

• Similar and Congruent

• Equilateral and Isosceles

What is a key characteristic of congruent triangles?

• They have proportional side lengths.

• They have the same angles but different side lengths.

• They have both the same angles and side lengths.

• They have the same side lengths but different angles.

If two triangles are congruent, what can we assume about their sides?

• The sides are proportional.

• The sides are equal.

• The sides are different.

• The sides are half the size of each other.

What is true about the angles in similar triangles?

• They are complementary.

• They are supplementary.

• They are different.

• They are equal.

How do the sides of similar triangles compare?

• They are equal.

• They are proportional.

• They are complementary.

• They are supplementary.

In similar triangles, if one side of the smaller triangle is 3.5, what is the corresponding side of the larger triangle if the proportionality factor is 2?

• 3.5

• 5

• 10

• 7

What is the proportionality factor between the sides of the green and white triangles?

• 1

• 2

• 2.5

• 1.5

If the longest side of the white triangle is 10, what is the length of the corresponding side in the green triangle?

• 10

• 5

• 3.5

• 7

What can we infer about the angles in two similar triangles?

• They are different.

• They are equal.

• They are supplementary.

• They are complementary.

If a side of the green triangle is 4, what is the length of the corresponding side in the white triangle?

• 10

• 8

• 6

• 4