Geometry Review

Front

Find the midpoint of the points (2,-7) and (10,1).

Back

The midpoint is (6,-3). It is calculated using the formula: \( M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \).

Front

Points that lie on the same line are _________.

Back

Collinear. Collinear points are points that lie on the same straight line.

Front

Find the distance between the points (2,3) and (5,7).

Back

The distance is 5. The distance formula is: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).

Front

What point is halfway between (3, -1) and (8, -6)?

Back

The halfway point is (5.5, -3.5). Use the midpoint formula: \( M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \).

Front

If RT=36, find the value of x in the equation RT = 9x.

Back

The value of x is 4. Solve for x: \( 9x = 36 \Rightarrow x = \frac{36}{9} = 4 \).

Front

Define a line segment.

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by: \( A = \frac{1}{2} \times base \times height \).

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: \( a^2 + b^2 = c^2 \).

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by: \( C = 2\pi r \), where r is the radius.