Exploring the Midpoint and Distance Formulas

What is the formula for finding the x-coordinate of the midpoint between two points (x1, y1) and (x2, y2)?

• (x1 + x2) / 2

• (x1 - x2) / 2

• (y1 + y2) / 2

• (y1 - y2) / 2

If point A is at (-2, 4) and point B is at (4, 0), what are the coordinates of the midpoint?

• (0, 2)

• (1, 1)

• (2, 1)

• (1, 2)

Given that S is the midpoint of segment RT, with S at (6, 2) and T at (2, 0), what are the coordinates of point R?

• (4, 2)

• (10, 4)

• (6, 4)

• (8, 2)

What is the formula for calculating the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

• sqrt((x2 + x1)^2 - (y2 + y1)^2)

• sqrt((x2 + x1)^2 + (y2 + y1)^2)

• sqrt((x2 - x1)^2 - (y2 - y1)^2)

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the distance formula, what is the distance between points (4, 0) and (-2, 4)?

• 2 sqrt(13)

• 7.2

• All of the above

• sqrt(52)

What is the simplified form of the square root of 52?

• sqrt(13)

• sqrt(26)

• 4 sqrt(13)

• 2 sqrt(13)

What is the Pythagorean theorem formula?

• a + b = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a^2 + b^2 = c

If a right triangle has legs of 3 cm and 4 cm, what is the length of the hypotenuse?

• 5 cm

• 6 cm

• 8 cm

• 7 cm

In a right triangle, if one leg is 4 inches and the hypotenuse is 10 inches, what is the length of the other leg?

• 6 inches

• 8 inches

• 5 inches

• 9.2 inches

Why is it important to convert radical answers to decimal form in real-world problems?

• Radicals are not used in real-world problems.

• Decimals are more accurate.

• Radical answers are always incorrect.

• Decimal answers are easier to understand and use in practical situations.