Isosceles triangle XYZ with angle X congruent angle Z? How do you construct?
1 answer:
Answer:
The construction is given below.
Step-by-step explanation:
we have to construct an isosceles triangle XYZ with angle X congruent angle Z. The steps of construction are
Step 1 : Construct a segment of any length XZ.
Step 2 : Adjust the compass such that it is greater than half of the segment and then put the needle of compass once at point X and then point Z and draw arc from both points.
Step 3 : Draw the segments from the two endpoints X and Z to the point where the two arcs intersect i.e at point Y.
By above steps of construction Isosceles triangle XYZ with angle X congruent angle Z is constructed.
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- Midpoint Formula:
So firstly, let's start with the x-coordinates. Since we know the midpoint's x-coordinate and point A's x-coordinate, we can solve for point B's x-coordinate as such:
Next, do the same thing except solve for the y-coordinate and using point A's y-coordinate and the midpoint's y-coordinate:
<u>Putting it together, point B's coordinates are (2,4).</u>