Mr T. Geometry EOC 1 (Parallel/Perp/Slope/Distance)

Front

What is the formula for the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint formula is: \( M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \)

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Front

Find the distance between the points (1, 3) and (5, 6).

Back

The distance is \( 5 \).

Front

Find the midpoint of the segment with endpoints (6, 7) and (6, -5).

Back

The midpoint is \( (6, 1) \).

Front

What is the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope formula is: \( m = \frac{y_2 - y_1}{x_2 - x_1} \)

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Find the distance between points A (8, 0) and B (2, -3).

Back

The distance is \( \sqrt{45} \).

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, \( a^2 + b^2 = c^2 \), where c is the hypotenuse.

Front

If a line has a slope of 2, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 2 units.