Cross Sections, Angles, & Triangle Inequality Theorem

Front

What is a cross section?

Back

A cross section is the shape that is exposed when a solid is cut through, such as a semi-circle when a cylinder is sliced.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If angle 4 is 35 degrees, what is the measure of its complementary angle?

Back

55 degrees (90 - 35 = 55).

Front

Which of the following side lengths can form a triangle: 1, 2, 3 or 5, 7, 8?

Back

5, 7, 8 can form a triangle.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If two angles are complementary and one angle measures 30 degrees, what is the measure of the other angle?

Back

60 degrees (90 - 30 = 60).

Front

What is an example of a shape that can have a semi-circular cross section?

Back

A cylinder can have a semi-circular cross section when cut vertically.

Front

If angle 1 is 70 degrees, what is the measure of angle 2 if they are supplementary?

Back

110 degrees (180 - 70 = 110).