Quarter2 Independent Assignment #7 on Solving similar triangles

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What is the Scale Factor in similar triangles?

Back

The Scale Factor is the number you multiply by the sides of one triangle to obtain the corresponding sides of a similar triangle.

Front

If triangle A has sides of length 4, 6, and 8, and triangle B is similar to triangle A with a scale factor of 2, what are the lengths of the sides of triangle B?

Back

The lengths of the sides of triangle B are 8, 12, and 16.

Front

How do you find the missing length in similar triangles?

Back

To find the missing length, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

If triangle C has a side length of 10 and is similar to triangle D with a corresponding side length of 15, what is the scale factor?

Back

The scale factor is 15/10 or 1.5.

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Front

If two triangles are similar and one has a perimeter of 30, what can you say about the perimeter of the other triangle if the scale factor is 3?

Back

The perimeter of the other triangle would be 30 * 3 = 90.

Front

Solve for x: Triangle E has sides 5, 12, and x, and is similar to triangle F with sides 10, 24, and 20. What is x?

Back

x = 12.

Front

What is the formula for finding the area of similar triangles?

Back

The area of similar triangles is proportional to the square of the scale factor.

Front

If the scale factor between two similar triangles is 4, how does this affect their areas?

Back

The area of the larger triangle will be 4^2 = 16 times the area of the smaller triangle.