 Find x and  ABCD is a parallelogram and AB is twice BC. If the perimeter of the parallelogram is 24, find CD.

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Presentation transcript:

 Find x and  ABCD is a parallelogram and AB is twice BC. If the perimeter of the parallelogram is 24, find CD.

Students will be able to determine if a quadrilateral is a parallelogram.

1. Show ALL cases of one of its properties (i.e. show both pairs of sides parallel or both pairs of sides congruent). -OR- 2. Show that one pair of sides are BOTH parallel AND congruent.

Determine whether each quadrilateral is a parallelogram. If so, justify with a theorem.

 Find x and y so the quadrilateral is a parallelogram.

Use the slope formula to show that the quadrilateral with coordinates P(0, 0), Q(3, 4), S(7, 4) and Y(4, 0) is a parallelogram.

Determine if the quadrilateral below is a parallelogram. If so, justify with a theorem.

Show that Quadrilateral ABCD with vertices A(0, 0), B(1, 3), C(5, 3), D(4, 0) is a parallelogram.

Pg. 337 # 9 –14, 20, 21, 23, 41 – 45 Quiz Friday over

Determine whether the given vertices are the vertices of a parallelogram.

In your groups of four, complete the four problems. When you are finished you may begin your homework. Pg. 337 # 9 –14, 20, 21, 23, 41 – 45