GEO: 6-3 QC (conditions for parallelograms)

6.3 1. True or False?
In a quadrilateral, if one pair of opposite sides are both parallel and congruent, then the figure is a parallelogram. Please type either T or F. 6.3 2. True or False?
In a quadrilateral, if the diagonals create a right angle, then the figure is a parallelogram. Please type either T or F. 6.3 P 3. Given the information above, is figure a parallelogram? 55 ^{∘}O YES 125 ^{∘}T NO 55 ^{∘}R 6.3 S 4. The figure above, SKIP, is a parallelogram.YES K 130 ^{∘}130 ^{∘} NO P I 6.3 C 5. The figure, CAKE, above is a parallelogram.YES E NO A K 6.3 6. Based on the given information, can you prove the figure is a parallelogram? yes, 2 opp. sides are parallel & congruent no, not enough information yes, diagonals are congruent yes, diagonals bisect each other 6.3 S 7. Parallelogram S NOW is drawn above. Find WO.W (8 p - 6)(4 p + 14)N (2 p+10)O units 8. Figure DAYS, is a parallelogram. Use the information in the figure to find x and y.D x = y+7S (3 x+25)^{∘}A y = (2 x)^{∘}4 y-2Y 9. Given the information in figure ICED, is it a parallelogram? YES NO I D 75 ^{∘}115 ^{∘}E C 10. Given the figure, TEAM, is it a parallelogram?YES NO T M A E |

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