Geometry Flashcard

Front

What is the Pythagorean Theorem?

Back

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). Formula: c² = a² + b².

Front

How do you determine if a triangle is acute, right, or obtuse?

Back

Use the lengths of the sides: If a² + b² > c², the triangle is acute; if a² + b² = c², it is right; if a² + b² < c², it is obtuse.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

How do you find the width of a screen given the diagonal and height?

Back

Use the Pythagorean theorem: width = √(diagonal² - height²).

Front

What is a variable in mathematics?

Back

A symbol used to represent an unknown value, often denoted by letters such as x, y, or z.

Front

What does it mean to round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it's 5 or more, round up; if it's less than 5, round down.

Front

What is the definition of a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Front

What is the difference between acute and obtuse angles?

Back

An acute angle measures less than 90 degrees, while an obtuse angle measures more than 90 degrees but less than 180 degrees.

Front

How do you solve for a variable in an equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the hypotenuse is always the longest side, opposite the right angle.