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How can you determine if two lines are perpendicular?
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Two lines are perpendicular if they intersect at right angles and the product of their slopes is -1.
What are vertical angles?
Vertically opposite angles formed by two intersecting lines are congruent.
What is the relationship between the slopes of parallel lines?
Parallel lines never intersect and have equal slopes.
What defines complementary angles?
Complementary angles are two angles that add up to 90 degrees.
What is a median in a triangle?
A median is a segment from a vertex to the midpoint of the opposite side in a triangle.
What is the SSS Postulate for proving triangle congruence?
If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.
How do you name a segment?
A segment is named by its endpoints, such as Segment AB or Segment BA.
Explain the AAS Postulate.
If two angles and a non-included side are congruent between two triangles, the triangles are congruent.
What is the measure range for an acute angle?
An acute angle measures between 0 and 90 degrees.
What is an altitude in a triangle?
An altitude is a segment from a vertex perpendicular to the opposite side.
How is a ray different from a segment?
A ray extends infinitely in one direction from a single point, while a segment has a definite start and end point.
What is a midpoint in geometry?
The midpoint divides a segment into two equal parts.
What defines supplementary angles?
Supplementary angles are two angles that add up to 180 degrees.
What is the significance of a perpendicular bisector?
A perpendicular bisector combines properties of medians and altitudes: it bisects a segment into two equal parts and forms right angles.
What does the SAS Postulate state?
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.
What is the transitive property regarding angle congruence?
If two angles are congruent to the same angle, they are congruent to each other.
What does CPCTC mean in geometry?
CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, meaning once two triangles are proven congruent, their corresponding parts are congruent.
How does a segment bisector function?
A segment bisector is a line, ray, or segment that divides a line segment into two equal parts.
How does the ASA Postulate prove triangle congruence?
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.
What is the defining characteristic of a line?
A line extends infinitely in both directions and is represented by arrows on both ends.
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