ZE is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector
of AngleYGZ and the perpendicular bisector of Line segment E F. Line segment F Y is the angle bisector of AngleZFX and the perpendicular bisector of Line segment E G. Point A is the intersection of Line segment E Z, Line segment G X, and Line segment F Y.Which must be true? Point A is the center of the circle that passes through points E, F, and G but is not the center of the circle that passes through points X, Y, and Z. Point A is the center of the circle that passes through points X, Y, and Z but is not the center of the circle that passes through points E, F, and G. Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z. Point A is not necessarily the center of the circle that passes through points E, F, and G or the center of the circle that passes through points X, Y, and Z.
2 answers:
Answer:
Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.
Step-by-step explanation:
A is the intersection of angle bisectors, so is the incenter of triangle EFG. It is also the intersection of the perpendicular bisectors of the sides of triangle EFG, so is the circumcenter.
The altitudes at X, Y, and Z are perpendicular to sides EF, EG, and FG, and pass through the incenter, so X, Y, Z are points on the incircle.
A is the center of circles through E, F, and G, and through X, Y, and Z.
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Question 1:
The answer is A: Sam.
His table is the only one that follows the conditions set in the question.
Question 2:
Choosing two points; (0, 14) and (4, 10)
Slope (m) =
= -1
Thus, equation,
I'm getting that for my equation of the line, so my best guess is that the answer is C.
The reason I got my answer is probably because I made a calculation mistake somewhere. If you use my methods, you should arrive at the correct answer.
The answer is C. ( I believe )
The answer is A: Sam.
His table is the only one that follows the conditions set in the question.
Question 2:
Choosing two points; (0, 14) and (4, 10)
Slope (m) =
Thus, equation,
I'm getting that for my equation of the line, so my best guess is that the answer is C.
The reason I got my answer is probably because I made a calculation mistake somewhere. If you use my methods, you should arrive at the correct answer.
The answer is C. ( I believe )
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line
m = =
=
the line crosses the y-axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation in slope- intercept form