10.2: Triangle Plus One Here is triangle ABC. 1. Draw midpoint M of side AC. 2. Rotate triangle ABC 180 degrees using center M to form triangle CDA. Draw and label this triangle. 3. What kind of quadrilateral is ABCD? Explain how you know.
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470. Triangle ABC has AB = AC. The bisector of angle B meets AC at D. Extend side BC to E so that CE = CD. Triangle BDE should look isosceles. Is it? Explain. 471. If ABCD is a quadrilateral and BD bisects both angle ABC and angle CDA, then what sort of quadrilateral must ABCD be? 472. In quadrilateral ABCD, angles ABC and CDA are both bisected by BD, and angles DAB and BCD are both bisected by AC. What sort of quadrilateral must ABCD be?
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