Exploring Adding and Subtracting Rational Expressions

What is a segment in geometry?

• A line that extends infinitely in one direction

• A point on a line

• A part of a line with two endpoints

• A line that extends infinitely in both directions

If segment AB is equal to segment CD, what can we say about these segments?

• They are parallel

• They are collinear

• They are perpendicular

• They are congruent

Given PQ = 9 and QR = 28, what is the length of PR?

• 28

• 37

• 9

• 19

If PR = 21 and QR = 17, what is the length of PQ?

• 21

• 38

• 17

• 4

If EG = 71, and EG is divided into segments 8x - 17 and 5x - 3, what is the value of x?

• 6

• 5

• 8

• 7

What does the midpoint of a segment do?

• Divides the segment into two unequal parts

• Divides the segment into two congruent segments

• Shortens the segment

• Extends the segment

If Q is the midpoint of PR, and PQ = 5x + 2, QR = 5x + 2, what is the length of PR?

• 5x + 2

• 10x + 4

• 15x + 6

• 20x + 8

If Q is the midpoint of PR, and PQ = 3x + 1, QR = 3x + 1, what is the value of x if PR = 20?

• 5

• 4

• 3

• 2

If FH = 6y - 2 and FH = 46, what is the value of y?

• 9

• 7

• 8

• 6

If segment AB is bisected by point M, what can we say about AM and MB?

• AM is shorter than MB

• AM is longer than MB

• AM and MB are not related

• AM is equal to MB