Segment Length Mastery
A Grade 12 math worksheet focusing on calculating and applying segment lengths in various geometric contexts.
Includes
Standards
Segment Length Mastery
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Read each question carefully and show all your work. Use the provided diagrams to help you visualize the problems. Round your answers to two decimal places where necessary.
1. Points A, B, and C are collinear. If AB = 2x + 5, BC = 3x - 1, and AC = 24, find the value of x and the length of segment AB.
2. What is the length of the segment connecting points P(-3, 7) and Q(5, 1)?
√68
10
√100
√136
3. If M is the midpoint of segment XY, and XM = 5z - 2 and MY = 3z + 8, then the length of segment XY is .
4. A rectangular garden has vertices at A(1, 1), B(7, 1), C(7, 5), and D(1, 5). Calculate the perimeter of the garden.
5. A segment can have only one midpoint.
True
False
6. Find the length of the diagonal of a rectangular prism with length 4 cm, width 3 cm, and height 12 cm.
Match each term on the left with its definition on the right.
1. Segment
a. A point that divides a segment into two congruent segments.
2. Midpoint
b. The sum of the lengths of the sides of a polygon.
3. Distance Formula
c. A part of a line consisting of two endpoints and all points between them.
4. Perimeter
d. Used to find the length of a segment in a coordinate plane.