Geometry MASTER Semester 1 REVIEW

Front

Order the sides of a triangle from least to greatest based on their lengths.

Back

To order the sides of a triangle, measure each side and compare their lengths. For example, if the sides are RT, ST, and RS, and their lengths are 3, 4, and 5 respectively, the order from least to greatest is RT, ST, RS.

Front

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

Back

The midpoint M of segment AB is given by the formula: M = ((x1 + x2)/2, (y1 + y2)/2). For example, with A(3, 4) and B(-1, 10), the midpoint is M = ((3 + (-1))/2, (4 + 10)/2) = (1, 7).

Front

How do you find the measure of an angle in a triangle?

Back

To find the measure of an angle in a triangle, you can use the properties of triangles, such as the sum of angles in a triangle equals 180 degrees. For example, if you know two angles, you can find the third angle by subtracting the sum of the known angles from 180 degrees.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect. For example, if line p has a slope of 2 and line q also has a slope of 2, then lines p and q are parallel.

Front

What is the slope of a line that is perpendicular to another line with slope m?

Back

The slope of a line that is perpendicular to another line with slope m is -1/m. For example, if line l has a slope of 3, then a line perpendicular to it will have a slope of -1/3.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you calculate the area of a triangle?

Back

The area A of a triangle can be calculated using the formula: A = (base * height) / 2. For example, if the base is 4 units and the height is 3 units, then A = (4 * 3) / 2 = 6 square units.

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). It is expressed as: c^2 = a^2 + b^2.

Front

What is the definition of a midpoint?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts. It is located at the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Front

How do you determine if two lines are parallel using their slopes?

Back

To determine if two lines are parallel, compare their slopes. If the slopes are equal, the lines are parallel. For example, if line p has a slope of 2 and line q also has a slope of 2, then lines p and q are parallel.