Similar Polygons

Front

What does the acronym SAS stand for in the context of similar triangles?

Back

SAS stands for Side-Angle-Side, which is a postulate that states if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What does the acronym SSS stand for in the context of similar triangles?

Back

SSS stands for Side-Side-Side, which is a postulate that states if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

How can you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the relationship between the ratios of corresponding sides in similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

What is the significance of the postulates SAS and SSS in proving triangle similarity?

Back

The SAS and SSS postulates provide criteria to establish that two triangles are similar based on the proportionality of their sides and the equality of their angles.

Front

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

Back

The ratio of their corresponding sides is 1:2.

Front

What is the formula to find the missing side in similar triangles?

Back

The formula to find the missing side in similar triangles is: (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

Can two triangles be similar if one triangle has a right angle and the other does not?

Back

No, two triangles cannot be similar if one has a right angle and the other does not, as their corresponding angles must be equal.

Front

What is an example of a situation where two figures are not similar?

Back

Two figures are not similar if the ratios of their corresponding sides are not equal, even if their angles are equal.