Match each value with its formula for ΔABC. (choices are in 2nd pic)
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The coordinates of other endpoint S is (3, 2)
<h3><u>Solution:</u></h3>Given that midpoint of RS is M
Given endpoint R(23, 14) and midpoint M(13, 8)
To find: coordinates of the other endpoint S
<em><u>The formula for midpoint is given as:</u></em>
For a line containing containing two points and
midpoint is given as:
Here in this problem,
m(x, y) = (13, 8)
Substituting the given values in above formula, we get
Comparing both the sides we get,
Thus the coordinates of other endpoint S is (3, 2)
we can divide the composite shape into on quadrilateral and triangle as shown in the diagram. since the line that joins the two shape is parallel to the base AB, the angle DEC is 85°.The angle CEA is 180°- angle DEC = 180-85=95. Angle BCE is sum of angle CEA, ABC and EAB subtracted from360°= 360°-(95+95+85)=85°. Angle DCE is 120°- ECB=35°. So, angle CDE = 180°-(35°+85°)= 60°. For reference see the diagram.
