finding missing sides of 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 their corresponding sides are in proportion.

Front

What is the property of corresponding angles in similar triangles?

Back

The corresponding angles in similar triangles are congruent (equal in measure).

Front

What is the property of corresponding sides in similar triangles?

Back

The corresponding sides of similar triangles are proportional.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

How do you set up a proportion to find a missing side in similar triangles?

Back

To set up a proportion, you can use the formula: (length of side in triangle 1) / (length of corresponding side in triangle 2) = (length of missing side in triangle 1) / (length of corresponding side in triangle 2).

Front

If two triangles have sides of lengths 3 cm, 4 cm, and 5 cm, and another triangle has a side of length 6 cm, are the triangles similar?

Back

Yes, the triangles are similar because the sides of the second triangle are in proportion to the sides of the first triangle (2:1 ratio).

Front

What is the formula to find the height of an object using similar triangles?

Back

The height can be found using the formula: height = (height of the smaller triangle) * (length of the larger triangle) / (length of the smaller triangle).

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 10 cm and side PQ is 5 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they are equal when expressed as fractions.

Front

If the lengths of two sides of a triangle are 6 cm and 9 cm, what is the missing side if the triangle is similar to another triangle with sides 4 cm and X cm?

Back

The missing side X is 6 cm.