Semester Review - Midpoint and Distance

Front

What is the hypotenuse of a right triangle?

Back

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

Front

What are the coordinates of the midpoint between two points (x1, y1) and (x2, y2)?

Back

The coordinates of the midpoint are ((x1 + x2)/2, (y1 + y2)/2).

Front

Can the midpoint coordinates (x, y) be negative?

Back

Yes, the midpoint coordinates can be negative depending on the values of the original points.

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): c² = a² + b².

Front

What types of triangles can the Pythagorean Theorem be applied to?

Back

The Pythagorean Theorem can only be applied to right triangles.

Front

Is the distance between two points always positive?

Back

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

Front

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

Back

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

Front

What is the distance between the points R(-4, 1) and F(0, -2)?

Back

The distance is 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 is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.