Video Transcript
Give the coordinates of the
vertices π΄ and πΆ.
Before we give the coordinates of
π΄ and πΆ, we need to identify what we know about this figure. Two sides, two adjacent sides, of
this figure have equal lengths. In addition to that, thereβs a
right angle inside this figure. Because thereβs a right angle in
this closed four-sided figure, we know that all of the angles inside this figure are
right angles.
And these two pieces of information
confirm for us that this figure would be a square. Therefore, all four sides of this
figure are equal. One of the coordinates is at the
origin at zero, zero. And coordinate π΅ is at π΄. And that means it goes from zero to
π΄. The length of this side is π΄
units, which makes the length of all of the sides π΄ units.
To label the vertices π΄ and πΆ, we
need to find their π₯- and π¦-coordinates. π΄ is located π΄ units along the
π₯-axis and π΄ units along the π¦-axis. The πΆ vertex is located at zero
units left or right, zero units on the π₯-axis and π΄ units on the π¦-axis, π΄ units
up. The two missing vertices can be
labeled as π΄ π, π, and πΆ zero, π.