Intro to Geometry Proofs (11/3 and 11/5)

Front

What does the Vertical Angles Theorem state?

Back

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent (equal in measure).

Front

What is the equation to find the value of x in the context of angles summing to 180 degrees?

Back

The equation is: 2x + 10 + 46 = 180.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which means if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.

Front

What is the difference between congruence and equality in geometry?

Back

Congruence refers to figures having the same shape and size, while equality refers to the numerical value of lengths or measures.

Front

What is the purpose of a proof in geometry?

Back

A proof is a logical argument that demonstrates the truth of a geometric statement or theorem.

Front

What does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of addition or multiplication does not change the sum or product. For example, a + b = b + a.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.