DMS Exterior Angles/Triangles/Pythag

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side. It is equal to the sum of the two opposite interior angles.

Front

State the Pythagorean theorem.

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Front

How do you find the length of the diagonal of a rectangle?

Back

To find the length of the diagonal (d) of a rectangle, use the Pythagorean theorem: d = √(length² + width²).

Front

What is a remote interior angle in relation to exterior angles?

Back

A remote interior angle is one of the two interior angles that are not adjacent to a given exterior angle of a triangle.

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

How do you solve for x in the equation 7x + 35 = 63?

Back

To solve for x, subtract 35 from both sides to get 7x = 28, then divide both sides by 7 to find x = 4.

Front

What is the formula for the area of a triangle?

Back

The area (A) of a triangle can be calculated using the formula: A = 1/2 * base * height.

Front

What is the definition of a corresponding angle?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

The distance (d) can be calculated using the distance formula: d = √((x2 - x1)² + (y2 - y1)²).