Question

geometry x unit 2: proof practice

1. given: b is between a and c. ab = 9 bc = 7 prove: 16 = ac

proof statements

1. b is between a and c.
2. ab = 9, bc = 7
3. ab + bc = ac
4. 9 + 7 = ac
5. 16 = ac

reasons
1.
2.
3.
4.
5.
given: rv bisects ∠srt. ∠3 ≅ ∠1

Explanation:

Step1: Given information

Given that \(B\) is between \(A\) and \(C\), \(AB = 9\), \(BC=7\)

Step2: Use segment - addition postulate

By the segment - addition postulate, if \(B\) is between \(A\) and \(C\), then \(AB + BC=AC\). Substituting the given values: \(9 + 7=AC\)

Step3: Calculate \(AC\)

\(9+7 = 16\), so \(AC = 16\)

Answer:

1. Given
2. Given
3. Segment - addition postulate
4. Substitution property of equality
5. Simplification (or arithmetic)