7.1-7.3 Review

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

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

Front

What does SSS stand for in triangle similarity?

Back

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

Front

What is the extended ratio of angles in a triangle?

Back

The extended ratio of angles in a triangle is a way to express the relationship between the angles in a triangle, such as 4:3:2, which can be used to find the actual measures of the angles.

Front

How do you find the largest angle in a triangle given the extended ratio 4:3:2?

Back

To find the largest angle, first add the parts of the ratio (4+3+2=9), then divide 180° by 9 to find the value of one part (20°). Multiply the largest part (4) by 20° to get the largest angle (80°).

Front

If a statue is 42.9 ft tall and casts a 253.1 ft shadow, how do you find the shadow length of a 6.2 ft tall man?

Back

Use the proportion of heights to shadows: (Height of statue / Length of statue's shadow) = (Height of man / Length of man's shadow). Solve for the length of the man's shadow.

Front

What is the formula for determining similarity in triangles?

Back

The formula involves checking if the corresponding angles are equal or if the sides are in proportion using AA, SAS, or SSS.

Front

What is the significance of triangle similarity in geometry?

Back

Triangle similarity is significant because it allows for the comparison of shapes and the use of proportional reasoning to solve problems involving lengths and angles.

Front

What is the relationship between similar triangles and their corresponding sides?

Back

In similar triangles, the lengths of corresponding sides are proportional.

Front

What is the relationship between similar triangles and their corresponding angles?

Back

In similar triangles, corresponding angles are equal.