Geometry Parallel Lines and Triangle Proofs Flashcard

Front

What is the condition for two lines to be parallel?

Back

Two lines are parallel if they never intersect and are equidistant from each other.

Front

What does the Reflexive Property state?

Back

The Reflexive Property states that any quantity is equal to itself (e.g., a = a).

Front

What is the SAS (Side-Angle-Side) Postulate?

Back

The SAS Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that opposite angles formed by two intersecting lines are equal.

Front

What is the SSS (Side-Side-Side) Postulate?

Back

The SSS Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the first statement in the reason column of a proof?

Back

The first statement is always 'Given'.

Front

If angle 1 = 27°, what is the measure of angle 4 if they are corresponding angles?

Back

Angle 4 = 27° (corresponding angles are equal).

Front

What is the definition of corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others.

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal.