Other

Question 1

Definition of a line perpendicular to a plane

Answer 1

A line and a plane are perpendicular if and only if they intersect and the line is perpendicular to all lines in the plane that pass through the point of intersection.

Question 2

What are the steps to prove 2 segments of 2 different triangles/ 2 different angles are congruent.

Answer 2

1. Identify 2 triangles in which the 2 segments or angles are corresponding parts.
2. Prove that the triangles are congruent.
3. State that the two parts are congruent using the reason CPCTC.

Question 3

Definition of a perpendicular bisector of a segment

How many perpendicular bisectors can a segment have?

Answer 3

A line (or ray or segment) that is perpendicular to the segment at its midpoint.

A segment can only have one perpendicular bisector.

Question 4

Altitude is perpendicular to the opposite side

Answer 4

always

Altitude is always perpendicular to the opposite side

Question 5

A median is perpendicular to the opposite side

Answer 5

sometimes

A median is sometimes perpendicular to the opposite side

Question 6

An altitude is an angle bisector

Answer 6

sometimes

An altitude is sometimes an angle bisector

Question 7

An angle bisector is perpendicular to the opposite side (in isosceles triangle)

Answer 7

sometimes

An angle bisector is sometimes perpendicular to the opposite side (in isosceles triangle)

Question 8

A perpendicular bisector of a segment is equidistant from the endpoints of a segment

Answer 8

always

A perpendicular bisector of a segment is always equidistant from the endpoints of a segment

See Theorem 4-5

Question 9

What is paragraph proof format?

Answer 9

Proof that lists “key points’’ and excludes steps such as the reflexive property.