XY=root (3,2-3,1)^2+(4-3)^2
XY=root 0.1^2+1^2
XY=root 0.01+1
XY= root 1.01 (irrasional number)
XY=1.0049875621
The answer is A because angle 7 and angle 3 are corresponding angles :)
In order for it to be a square, we see that it has to have a distance of 3 from the points B and C, since the distance between A and B is 3. A square is a parallelogram, so AD needs to be parallel to BC. Hence, since the vector BC is (0,3), we have that the vector AD is also (0,3). So, adding the coordinates of the vector to A, we get that D=(0,3).
- AC is congruent to itself
- AC bisects angle BAD, so that angles BAC and DAC are congruent
- Both angles B and D are right angles, so they are congruent
This means triangles BAC and DAC are a pair of angle-angle-side triangles, so they are congruent to one another. Corresponding parts of congruent triangles are congruent, so the line segments BC and DC are congruent and have the same length.
Then