Warmup on Solving similar triangles

Front

What is a similar triangle?

Back

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 number you multiply by the sides of one triangle to obtain the sides of a similar triangle.

Front

If Triangle A has sides of 3, 4, and 5, and Triangle B is similar to Triangle A with a scale factor of 2, what are the lengths of Triangle B's sides?

Back

6, 8, and 10.

Front

How do you find the missing length in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the triangles.

Front

If Triangle C has a side length of 9 and is similar to Triangle D with a corresponding side length of 12, what is the scale factor?

Back

The scale factor is 12/9 or 4/3.

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Front

If Triangle E has a side length of 5 and Triangle F has a corresponding side length of 15, what is the scale factor?

Back

The scale factor is 15/5 or 3.

Front

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

Back

Area of Triangle F = (Scale Factor)^2 * Area of Triangle E.

Front

If two triangles are similar and the length of one side of the first triangle is 10, and the corresponding side of the second triangle is 25, what is the scale factor?

Back

The scale factor is 25/10 or 2.5.

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal or their corresponding sides are not in proportion.