Question

Which sentence about the diagram is true?


A) If the third median is drawn, it will be perpendicular to segment BC
B) If the third median is drawn, point X will bisect it.
C) If a line is drawn through points A and X, it will bisect segment BC
D) BDC is necessarily a right triangle.
E) segment BF is perpendicular to segment CD

Answer 1

some of the choices are not complete.

Answer 2

Sorry @welshfella

Answer 3

Okay so Let me help you.

Answer 4

I can already tell you that A and B are wrong. D isn't a right angle because right angles are 90 degrees and look like this:

Answer 5

So Now we're left with C and E.

Answer 6

If you put a line through AX you wouldn't Bisect with BC because this is what a Bisect segment looks like this. They have to have right angles so C is incorrect as well.

Answer 7

So That leaves us with E. Now Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Unlike parallel lines that never touch, perpendicular lines must intersect. So they look like this.

Answer 8

Thank you @Daniee_Bruhh this was very helpful

Answer 9

So Do you think that Segment BF and CD are perpendicular?

Answer 10

No Problem love!

Answer 11

They are perpendicular because they intersect at one point and parallel lines never intersect.

Answer 12

Yes! That is correct! That means that your answer is E! Good Job Love! ^^

Answer 13

For the correct answer, I got this:

C) If a line is drawn through points A and X, it will bisect segment BC

The medians of a triangle are concurrent which means that all three intersect in the same point.

Point X is the centroid (name for point where medians meet).

A is a vertex of the triangle.

A line joining point A and point X will have to be a median of the triangle.

Line AX will pass through the midpoint of segment BC.

@Love15211