contestada

Manuela claims that Segment A B and Segment P Q are congruent.

On a coordinate plane, segment P Q goes from (negative 3, negative 1) to (negative 3, 3) and segment A B goes from (0, 1) to (3, 1).

Which statement best describes her claim?
She is incorrect because the segments do not have the same orientation.
She is incorrect because the segments do not have the same length.
She is correct because the segments have the same length.
She is correct because the segments have the same orientation.

Respuesta :

Answer:

B

Step-by-step explanation:

AB has length 4

PQ has length 3

otientation does not affect congruency.

Answer:

B.She is incorrect because the segments do not have the same length.

Step-by-step explanation:

We are given that

Manuela claims that segment AB and segment PQ are congruent.

When two segment are congruent the their lengths are equal.

PQ passing through the point (-3,-1) and (-3,3)

Length of PQ=[tex]\sqrt{(-3+3)^2+(3+1)^2}=4 units[/tex]

By using distance formula

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB passing through the points (0,1) and (3,1).

Length of AB=[tex]\sqrt{(3-0)^2+(1-1)^2}=3units[/tex]

Length of AB is not equal to length of PQ.

Option B is true.

She is incorrect because the segments do not have the same length.