Geometry quiz 7
solve for x
-9
Solve for x.
12
solve for x
12
Given that points A, B, and C are the midpoints of their respective sides, which of the following is true about the figure?
1∕2 line YZ = Line AC
Line AJ is the bisector of ∠HJI. Determine the value of x.
2.5
Points K, L, and M are the midpoints of their respective sides. If LM = 10, determine the length of side YX.
20
Determine the possible side lengths of the third side of a triangle with known side lengths of 5 and 8.
3 < c < 13
Line CD is the perpendicular bisector of Line XY. Determine the value of x.
4
line DF is the angle bisector of ∠ADE. Determine the value of x.
4
Line AD is the angle bisector of ∠EAB. Solve for x.
5.76
Determine the possible side lengths of the third side of a triangle with known side lengths of 6 and 12.
6 < c < 18
line AD is the angle bisector of ∠EAB. Solve for x.
6.4
What type of triangle center is shown as point C in the figure?
Circumcenter
What type of triangle center is shown as point A in the figure?
Incenter
Given that points A, B, and C are the midpoints of their respective sides, which of the following is true about the figure?
Line YZ || Line AC
Which statement correctly describes the location of the circumcenter of a triangle?
The circumcenter is on the outside of an obtuse triangle.
Which statement correctly describes the location of the incenter of a triangle?
The incenter is equidistant from all three sides of the triangle.
The _________ is the center of mass of the triangle.
centroid
The circumcenter is the center of the __________ circle.
circumscribed
Write the equation for the perpendicular bisector of a segment that has endpoints (1, -4) and (3, 2).
y = -1∕3x - 1∕3