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Problem 18

if \(\overline{R S} \cong \overline{S T}\), then \(S\) is the midpoint of \(\overline{R T}\).

Problem 19

Draw and label a coordinate plane on a piece of grid paper. Then graph and label each point. \(N(1,-5)\)

Problem 19

if points \(D, E\), and \(F\) are collinear and \(E\) is not between \(D\) and \(F\), then \(F\) is between \(D\) and \(E\).

Problem 20

Draw and label a coordinate plane on a piece of grid paper. Then graph and label each point. \(S(3,6)\)

Problem 20

Draw a segment like \(\overline{M N}\) on your paper. Then use a compass and straightedge to bisect the segment.

Problem 20

The coordinates of the endpoints of a segment are given. Find the coordinates of the midpoint of each segment. \((0,4),(0,0)\)

Problem 21

The coordinates of the endpoints of a segment are given. Find the coordinates of the midpoint of each segment. \((-1,-2),(-3,-6)\)

Problem 21

Draw and label a coordinate plane on a piece of grid paper. Then graph and label each point. \(G(-4,0)\)

Problem 22

Science The center of mass of an object is the point where the object can be balanced in all directions. Draw the shape of a triangular object like the one at the right. Use the following steps to find its center of mass. a. Find the midpoint of each side of the triangle. b. Draw a segment between the midpoint of \(\overline{Q R}\) and \(P\). c. Draw a segment between the midpoint of \(P R\) and \(Q\). d. Draw a segment between the midpoint of \(\overline{P Q}\) and \(R\). e. The center of mass is the point where these three segments intersect. Label the center of mass \(C\).

Problem 22

The coordinates of the endpoints of a segment are given. Find the coordinates of the midpoint of each segment. \((6,0),(13,0)\)

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