Geometry - Topics 7 Review

Front

Find the value of x in a right triangle where the hypotenuse is 16 and one leg is 12.

Back

x = 16

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

How can you determine if two triangles are similar using SSS?

Back

SSS stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What is the SAS criterion for 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

If triangle PQR is similar to triangle DEF with a scale factor of 1.5, what does this mean?

Back

It means that each side of triangle PQR is 1.5 times longer than the corresponding side of triangle DEF.

Front

What is the geometric mean of two numbers a and b?

Back

The geometric mean is the square root of the product of the two numbers: √(a*b).

Front

Calculate the geometric mean for 2 and 25.

Back

The geometric mean is 5√2.

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

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by the SAS criterion.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.