Question

The horizontal axis is labeled x and goes from negative 10 to 10 in intervals of 1 labeled every 5 units. The vertical axis is labeled y and goes from negative 10 to 10 in intervals of 1 labeled every 5 units. Vertex A is at left parenthesis 7 comma negative 2 right parenthesis, vertex B is at left parenthesis 2 comma negative 8 right parenthesis, and vertex C at left parenthesis negative 1 comma 2 right parenthesis.

ΔABC
is plotted on a coordinate plane.

Which statement is correct?

(1 point)

A median extending from vertex C will extend to side BC¯¯¯¯¯¯¯¯
with a length of 52–√
units.

A median extending from vertex B to side AB¯¯¯¯¯¯¯¯
has a length of 6 units.

A median extending from vertex B will extend to side AC¯¯¯¯¯¯¯¯
has a length of 65−−√
units.

A median extending from vertex A to side BC¯¯¯¯¯¯¯¯
has a length of 75√2
units.

Answer 1

Median from B to AC is correct.

Midpoint of AC = ((7 + (−1))/2, (−2 + 2)/2) = (3, 0). Distance from B(2, −8) to (3, 0) = sqrt((3−2)^2 + (0−(−8))^2) = sqrt(1 + 64) = sqrt(65).