On a number line, the coordinates of X, Y, Z, and W are , , , and , respectively. Find the lengths of the two segments below. Then tell whether they are congruent. and The length of is 3. (Type an integer or a decimal.) The length of is 2. (Type an integer or a decimal.)

Question

05-10-2020
Mathematics

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On a number line, the coordinates of X, Y, Z, and W are , , , and , respectively. Find the lengths of the two segments below. Then tell whether they are congruent. and The length of is 3. (Type an integer or a decimal.) The length of is 2. (Type an integer or a decimal.)

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akposevictor akposevictor · Answer 1 · 2020-10-09T04:38:37+02:00

Complete Question:

On a number line, the coordinates of X, Y, Z, and W are −8, −5, 4, and 6, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. [tex] \overline{XY} [/tex] and [tex] \overline{ZW} [/tex]

Answer:

[tex] \overline{XY} = 3 [/tex]

[tex] \overline{ZW} = 2 [/tex]

They are not congruent

Step-by-step explanation:

Length of segment XY:

Coordinate of X = -8

Coordinate of Y = -5

[tex] \overline{XY} [/tex] = |-8 -(-5)| = |-8 + 5| = 3

Length of ZW:

Coordinate of Z = 4

Coordinate of W = 6

[tex] \overline{ZW} [/tex] = |4 - 6| = 2

[tex] \overline{XY} [/tex] ≠ [tex] \overline{ZW} [/tex], therefore, they are not congruent.