How do you find the length of a side in a right triangle using the Pythagorean theorem?

To find the length of a side, rearrange the Pythagorean theorem: if you know two sides, use $$c = \text{sqrt}(a^2 + b^2)$$ to find the hypotenuse, or $$a = \text{sqrt}(c^2 - b^2)$$ to find a leg.

What is the formula for the area of a rectangle?

The area of a rectangle is calculated by multiplying its length (l) by its width (w): $$\text{Area} = l \times w$$ .

What is a linear equation?

A linear equation is an equation that makes a straight line when graphed, typically in the form $$y = mx + b$$ .

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

When two parallel lines are cut by a transversal, corresponding angles are equal, and alternate interior angles are equal.

What is the distance formula?

The distance formula calculates the distance (d) between two points (x1, y1) and (x2, y2) in a coordinate plane: $$d = \text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)$$ .

What is the definition of a rectangle?

A rectangle is a quadrilateral with four right angles.

What is the definition of a diagonal in a rectangle?

A diagonal in a rectangle is a line segment that connects two opposite corners.

How do you determine if a triangle is a right triangle using side lengths?

To determine if a triangle is a right triangle, check if the lengths satisfy the Pythagorean theorem: $$c^2 = a^2 + b^2$$ .

Semester Exam Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

2.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

3.

FLASHCARD QUESTION

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are always the same distance apart and never meet, no matter how far they are extended.

4.

FLASHCARD QUESTION

Front

What are congruent angles?

Back

Congruent angles are angles that have the same measure.

5.

FLASHCARD QUESTION

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.

6.

FLASHCARD QUESTION

Front

What is a slope in a linear equation?

Back

7.

FLASHCARD QUESTION

Front

What is a y-intercept?

Back

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