Triangles, Parallel Lines, and the Pythagorean Theorem Unit Review

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 180°.

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What is 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 missing angle in a triangle?

Back

To find a missing angle in a triangle, subtract the sum of the known angles from 180°. For example, if two angles are 50° and 60°, the missing angle is 180° - (50° + 60°) = 70°.

Front

What is the relationship between angles formed by parallel lines and a transversal?

Back

When a transversal crosses parallel lines, it creates corresponding angles that are equal, alternate interior angles that are equal, and consecutive interior angles that are supplementary (add up to 180°).

Front

What is the formula for the area of a triangle?

Back

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

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length. The angles opposite the equal sides are also equal.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees. The side opposite the right angle is called the hypotenuse.

Front

How do you solve for x in the equation 21² - 15² = x²?

Back

To solve for x, calculate 21² (441) and 15² (225), then subtract: 441 - 225 = 216. Therefore, x² = 216, and x = √216 = 14.7.

Front

What is the sum of the angles in a triangle?

Back

The sum of the interior angles in any triangle is always 180°.