Question 1 - Answer:
Angle bisector – ray that divides an angle into two congruent adjacent angles. Triangle – the figure formed by three segments joining three noncollinear points. Each of the three points is a vertex of the triangle and the segments are the sides.
Question 2 - Answer:
Two adjacent angles whose noncommon sides are opposite rays. Two angles whose measures sum to 90 degrees. Two angles whose measures sum to 180 degrees. If two angles form a linear pair, then they are supplementary.
Question 3 - Answer:
The sides of a right triangle have different names: The longest side, opposite the right angle, is called the hypotenuse. In the diagram, the hypotenuse is labelled c. The other two sides are called the legs of the triangle.
Answer:
-3/12
Step-by-step explanation:
2 - (-1) = 3
-4 - 8 = -12
Slope is -3/12
Negative three twelfths
Both equal so set equal to each other
-1/3y+4/3=2y+6
times both sides by 3
-y+4=6y+18
add y to both sides and minus 18 both sides
-14=7y
divide both sides by 7
-2=y
sub back
x=2y+6
x=2(-2)+6
x=-4+6
x=2
(2,-2)
Answer:
<h3>26 + 10 i</h3>
Step-by-step explanation:
<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
