Answer:
A) The circumcenter of a right triangle falls on the side opposite the right angle
B) The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides
D.) The circumcenter is equidistant from (Apex)
Step-by-step explanation:
The answer is: The first triangle. The reasons are shown below:
1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:
Tan(α)^-1= opposite leg/adjacent leg
Opposite leg=5
Adjacent leg=5√3
Tan(α)^-1= 5/5√3
Tan(α)^-1=30°
2. Let's calculate the other angle:
Tan(α)^-1= opposite leg/adjacent leg
Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:
Tan(α)^-1= 5√3/5
Tan(α)^-1=60°
As you can see, the angles of first triangle are: 30°,60° and 90°.
For the text answers:
conditional - If 2 lines are supplementary then the measure of the angles sum is 180
converse - If the measure if the angle sum is 180 then the 2 lines are supplementary
inverse - If 2 lines are not supplementary then the measure if the angle sum is not 180
contrapositive - If the measure if the angle sum is not 180 then 2 lines are not supplementary.
answer to the picture one:
conditional - If you do all your math homework then you will do well on the test.
converse - If you do well on the test then you do all your math homework
inverse - If you do not do all your math homework then you will not do well on the test.
contrapositive - If you do not well on the test then you did not do all your math homework
