Geometry quiz 7

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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


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