Geometry Proofs

Front

What does the equation m<1 + m<2 = 50 represent in geometry?

Back

It represents the relationship between the measures of two angles, where the sum of their measures equals 50 degrees.

Front

If m<2 = 10, how can we find m<1?

Back

By substituting m<2 into the equation: m<1 + 10 = 50, we can solve for m<1.

Front

What is the process of replacing a variable with its value in an equation called?

Back

Substitution.

Front

What does the symbol \( \cong \) signify in geometry?

Back

It signifies that two figures are congruent, meaning they have the same shape and size.

Front

In a geometric proof, where do the statements typically go?

Back

On the left side.

Front

In a geometric proof, where do the reasons typically go?

Back

On the right side.

Front

What is the Segment Addition Postulate?

Back

It states that if point B is between points A and C, then AB + BC = AC.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures are identical in shape and size.

Front

What is the purpose of a geometric proof?

Back

To demonstrate the validity of a geometric statement using logical reasoning and established theorems.

Front

What is an angle?

Back

An angle is formed by two rays with a common endpoint, called the vertex.