Segment Proofs Worksheet
This worksheet focuses on segment proofs in geometry, including the Segment Addition Postulate and properties of equality for segments, suitable for Grade 11 math students.
Includes
Standards
Segment Proofs
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Read each question carefully and provide a complete proof or answer as required. Show all your work.
1. Points A, B, and C are collinear. If AB = 7 and BC = 12, what is the length of AC? Justify your answer using the Segment Addition Postulate.
2. Complete the following proof by filling in the blanks.
Given: AB = CD
Prove: AC = BD
Proof:
1. AB = CD ( )
2. BC = BC ( )
3. AB + BC = CD + BC ( )
4. AB + BC = AC ( )
5. CD + BC = BD ( )
6. AC = BD ( )
3. If M is the midpoint of segment XY, which of the following statements is true?
XM > MY
XM < MY
XM = MY
XY = XM + MY + M
4. Given that segment AB is congruent to segment CD (AB ≅ CD), prove that AC ≅ BD. You may use a two-column proof format.
5. If point B is between points A and C, then AC - AB = BC.
True
False