#1✏️WK 17- Mon. 12/11/23 HW#1: Flashcardizz Midpoint and Distance

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c² = a² + b².

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2): M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you find the x-coordinate of the midpoint?

Back

To find the x-coordinate of the midpoint, use the formula: Mx = (x1 + x2)/2.

Front

Is the distance between two points always positive?

Back

True, the distance between two points is always a positive value.

Front

What does the distance formula calculate?

Back

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the relationship between the distance formula and the Pythagorean Theorem?

Back

The distance formula is derived from the Pythagorean Theorem, as it calculates the hypotenuse of a right triangle formed by the differences in x and y coordinates.

Front

What is an example of using the Midpoint Formula?

Back

For endpoints (2, 3) and (4, 7), the midpoint M = ((2 + 4)/2, (3 + 7)/2) = (3, 5).

Front

What is the definition of a right triangle?

Back

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

Front

What are the sides of a right triangle called?

Back

The sides of a right triangle are called the hypotenuse (the longest side) and the two legs (the other two sides).