Geo: Mid-Term

Front

What does it mean for two triangles to be similar (e.g., \(\Delta STU \sim \Delta WVU\))?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by the formula M = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2}).

Front

What is a Venn Diagram used for?

Back

A Venn Diagram is used to show the relationships between different sets, illustrating how they overlap and differ.

Front

What is the definition of a line segment?

Back

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

Front

How do you solve for an unknown variable in an equation?

Back

To solve for an unknown variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the formula for the area of a triangle?

Back

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

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): \(c^2 = a^2 + b^2\).

Front

What does it mean for two angles to be supplementary?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated using the formula m = \frac{y2 - y1}{x2 - x1}.