Is it a Parallelogram?

is it a parallelogram?

• Not enough information

• Yes, both pairs of opposite sides are parallel

• Yes, both pairs of opposite sides are congruent

• Yes, both pairs of opposite angles are congruent

Tags

CCSS.HSG.CO.C.11

is it a parallelogram?

• Not enough information

• Yes, both pairs of opposite sides are congruent

• Yes, the diagonals bisect each other

• Yes, one pair of sides is both parallel and congruent

Tags

CCSS.HSG.CO.C.11

is it a parallelogram?

• Not enough information

• Yes, both pairs of opposite sides are congruent

• Yes, the diagonals bisect each other

• Yes, one pair of sides is both parallel and congruent

Tags

CCSS.HSG.CO.C.11

is it a parallelogram?

• Not enough information

• Yes, both pairs of opposite sides are congruent

• Yes, one pair of opposite angles are congruent

• Yes, you can find that the other two angles measures must be 110 degrees, so both pairs of opp. angles are congruent

Tags

CCSS.HSG.CO.C.11

is it a parallelogram?

• Not enough information

• Yes, both pairs of opposite sides are congruent

• Yes, because consecutive angles are supplementary, both pairs of opposite sides are parallel

• Yes, you can find that the other angles measure must be 110 degrees, so both pairs of opp. angles are congruent

Tags

CCSS.HSG.CO.C.11

is it a parallelogram?

• Not enough information

• Yes, both pairs of opposite sides are congruent

• Yes, because of the perpendicular transversal postulate, both pairs of opposite angles are congruent

• Yes, because of the perpendicular transversal postulate, both pairs of opposite sides are parallel

Tags

CCSS.HSG.CO.C.11

is it a parallelogram?

• Not enough information

• Yes, one pair of sides is both parallel and congruent

• Yes, because one pair of sides is parallel and the other pair of sides is congruent

• Yes, because I said so

Tags

CCSS.HSG.CO.C.11

is it a parallelogram?

• Not enough information

• Yes, because of ASA, diagonal AC splits the figure into two congruent triangles, so both pairs of opposite sides are congruent

• Yes, since alternate interior angles are congruent, we can show that both pairs of opposite sides are parallel

• Yes, because with vertical angles being congruent, the two pairs of smaller triangles are congruent, so both pairs of opposite sides are parallel

Tags

CCSS.HSG.CO.C.11

is it a parallelogram?

• Not enough information

• Yes, both pairs of opposite sides are parallel

• Yes, the diagonals bisect each other

• Yes, one pair of sides is both parallel and congruent

Tags

CCSS.HSG.CO.C.11