# Question Video: Naming Coordinates of Vertices of Isosceles Triangles Mathematics • 11th Grade

Give the coordinates of the vertices π΄, π΅, and πΆ.

02:16

### Video Transcript

Give the coordinates of vertices π΄, π΅, and πΆ.

What can we notice about this triangle? We notice that sides π΄π΅ and sides π΄πΆ are equal in length. We also know because of the intersection of the π₯- and π¦-axis that we have a right angle. Points πΆ and π΅ are located along the π₯-axis. Because they intersect the π₯-axis, it tells us something about the height. Point πΆ is negative π units to the left and zero units up. We donβt know how many units to the right point π΅ is. We donβt know its π₯-coordinate. But we do know that it is located zero units up on the π₯-axis. So we have an unknown for the π₯-value but zero for the π¦-value.

Something else we can say about this triangle is that the height provides a perpendicular bisector. And that means that it cuts side π΅πΆ in half. The distance from zero to the origin is the same distance as π΅ to the origin. πΆ is located π distance from the origin. And that means π΅ will also be located π units away from the origin. π΅ would be located at π, zero.

Our final missing value is the π₯-coordinate of our point π΄. The π₯-coordinate tells us how far left or right that point is. Point π΄ is located on the π¦-axis. It is not to the left or to the right of the π¦-axis. The π¦-intercepts always have zero as their π₯-coordinate. π΄ would be located at zero, π.