Exploring Perpendicular and Angle Bisectors in Geometry

What does the term 'equidistant' mean?

• Half the distance

• Same distance

• Double the distance

• Different distances

What is the length of the perpendicular segment from a point to a line?

• The length of the parallel segment

• The length of the perpendicular segment

• The length of the bisector

• The length of the hypotenuse

According to the Perpendicular Bisector Theorem, if PM is perpendicular to AB and MA equals MB, what can we conclude?

• MA is not equal to MB

• PM is not perpendicular to AB

• PA is equal to PB

• PA is not equal to PB

What is the converse of the Perpendicular Bisector Theorem?

• If MA is equal to MB, then PM is perpendicular to AB

• If PM is perpendicular to AB, then PA is equal to PB

• If PA is not equal to PB, then PM is not perpendicular to AB

• If PA is equal to PB, then PM is perpendicular to AB and MA is equal to MB

According to the Angle Bisector Theorem, if QS bisects angle PQR and SP is perpendicular to QP, what can we conclude?

• QS does not bisect angle PQR

• SP is perpendicular to QR

• SP is equal to SR

• SP is not equal to SR

What is the converse of the Angle Bisector Theorem?

• If SP is equal to SR, then QS bisects angle PQR

• If QS bisects angle PQR, then SP is equal to SR

• If SP is not equal to SR, then QS does not bisect angle PQR

• If QS does not bisect angle PQR, then SP is not equal to SR

In the first example problem, what is the length of QR if n equals 3?

• 8

• 5

• 10

• 3

In the first example problem, what is the value of n?

• 2

• 3

• 4

• 5

In the second example problem, what is the length of FB if x equals 3?

• 24

• 15

• 18

• 21

In the second example problem, what is the value of x?

• 5

• 3

• 2

• 4