Quarter2 Independent Assignment #7 on Solving similar triangles

Front

What is a similar triangle?

Back

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

Front

What is the Scale Factor in similar triangles?

Back

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

Front

If triangle A has sides of lengths 3, 4, and 5, 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 6, 8, and 10.

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 triangle D is similar with a corresponding side length of 5, what is the scale factor?

Back

The scale factor is 0.5.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles 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?

Back

The perimeter of the other triangle can be found using the scale factor; it will be proportional to the perimeter of the first triangle.

Front

Solve for x: Triangle E has sides 6, 8, and x, and triangle F has sides 3, 4, and 5. Are these triangles similar?

Back

Yes, they are similar. The value of x is 10.

Front

What is the formula for the area of similar triangles?

Back

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

Front

If triangle G has a scale factor of 3 compared to triangle H, and the area of triangle H is 20, what is the area of triangle G?

Back

The area of triangle G is 180.