Question

18 select the correct answer from each drop-down menu. given: prove: a line segment uz with collinear points of v, w, x, and y statements reasons 1. 1. given 2. 2. segment addition 3. 3. addition property of equality 4. 4. subtraction property of equality 5. 5. given 6. 6. subtraction property of equality where is the first error in this proof? the reason in line does not justify the statement because . instead, the reason should be .

Answer 1

The first error in the proof is in line 4, where the subtraction property of equality is used instead of the segment addition property of equality.

Step-by-step explanation:

The first error in the proof occurs in line 4. The reason given does not justify the statement because the segment addition property of equality should have been used instead of the subtraction property of equality.

The correct explanation should be that the line segment UZ can be divided into two parts UV and VZ. The segment addition property states that the sum of the lengths of these two parts is equal to the length of the whole segment UZ.

1. Given: A line segment UZ with collinear points V, W, X, and Y
2. Segment addition: UV + VZ = UZ
3. Given: V = W + X + Y
4. Segment addition: WX + XY = VZ
5. Given: Z - Y = X - W
6. Subtraction property of equality: VZ - XY = VZ - (X - W)

Answer 2

The first error in the proof is in statement 3. The reason stated is not correct and should be 'segment addition' instead of 'addition property of equality.'

Step-by-step explanation:

The first error in this proof is in statement 3. The reason stated, 'addition property of equality,' does not justify the statement. Instead, the reason should be 'segment addition.'

To prove a line segment, you need to use the segment addition property, which states that if three points are collinear, the sum of the lengths of the two smaller segments is equal to the length of the larger segment. In this case, the correct reason to justify statement 3 would be 'segment addition.'