(b) The diagram shows three pentagons which fit together. Uta thinks that three regular pentagons will fit together in the same way. Explain how you know she is wrong. Answer(b) FR THE THREE POLYGONS TO FIT BOETHER, IT MUST HAVE AN INTERIOR BUT THE REGULAR ANGLE OF 120". ..... [1] PENTAGON HAS 108° ONLY. 4 of 6 | Page

Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On the basis of the appearance of your construction, what seems to be true?

Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the perpendicular bisectors of the three sides appear to meet at a common point?

In the illustration, point M is the midpoint of the hypotenuse of right triangle AOB. Show that the area of rectangle OLMN is one-half of the area of triangle AOB.

Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.