contestada

MULTIPLE CHOICE The coordinates of A and
B on a number line are -7 and 9. The
coordinates of C and D on a number line are
-4 and 12. Are AB and CD congruent? I
yes, what is the length of each segment?
A) no
Byes; 16
yes; -16
D yes; 8

Respuesta :

gracebeauchamp

Answer:

B.) Yes; 16

Step-by-step explanation:

The first step would be to see how long each of the section lengths are.

<======================>

A        -7                   0                         9     B

To do this, you need to subtract 9 and -7. 9-(-7)=9+7=16

Do the same thing on CD. 12-(-4)=12+4=16

The lengths of both the segments are the same so they are congruent and the math shows us that the length of each segment is the same and is 16 units long.

this makes the correct answer B, yes;16Byes; 16
To determine if AB and CD are congruent, we need to calculate the lengths of both segments.

The length of AB is the absolute difference between the coordinates of A and B:
\[ \text{Length of AB} = |9 - (-7)| = |9 + 7| = 16 \]

The length of CD is the absolute difference between the coordinates of C and D:
\[ \text{Length of CD} = |12 - (-4)| = |12 + 4| = 16 \]

Since both segments have the same length of 16, AB and CD are congruent.

So, the correct answer is:
B) yes; 16