Geometry Mid Term Quiz 02 (CA3) Review

In $$\Delta ABC$$ , G is the centroid. If AG = 24, find AD.

In $$\Delta ABC$$ , G is the centroid. If AB = 20, find AE.

In $$\Delta MNO$$ , P is the centroid. If PU = 16, find MP.

Determine whether the orthocenter will be inside, outside, or on the given triangle ABC.

Determine whether the orthocenter will be inside, outside, or on the given triangle JKL.

Determine whether the orthocenter will be inside, outside, or on the given triangle QRS.

Given $$\overline{QM}$$ is the perpendicular bisector of segment RS, and RS = 14. Find MS.

Given $$\overline{QM}$$ is the perpendicular bisector of segment RS, $$\overline{RM}=8x-6$$ and $$\overline{MS}=4x+6$$ . Find the value of x.

Given $$\overline{QM}$$ is the perpendicular bisector of segment RS, $$\overline{QM}=18$$ and $$\overline{MS}=16$$ . Find the length of segment QS. Round to nearest tenth. (Hint: use Pythagorean Theorem)

Segment $$\overline{BD}$$ bisects angle $$\angle ABC$$ . Solve for x. Round to nearest tenth. (Image not to scale)