Bellringer Lesson 35

Find the value of each variable in the parallelogram.

Find FG and <G

Find the measure of the indicated angle in the parallelogram.

The diagonals of parallelogram OPQR intersect at point M. What are the coordinates of point M?

• (1, 1.5)

• (1,3.5)

• (1, 2.5)

• (1, 4)

Nahomi reads the statement below in a geometry textbook: "Construct the diameter of the circle and label the endpoints P and Q. Set the compass to be wider than the radius of the circle and construct a perpendicular bisector of segment PQ." Which construction is best described by this statement?

• A Square inscribed in the circle

• An Isosceles Trapezoid

• Equilateral triangle

• A Regular Hexagon

You are trying to prove that quadrilateral EFGH is a square. You have already proven that all four sides are congruent. Which statement, if true, would prove that EFGH is a square?

• The diagonals are congruent.

• The opposite sides are congruent.

• The opposite angles are congruent.

• The adjacent angles are supplementary

What is the measure of ∠E in the parallelogram below?

Figure EFGH below is a quadrilateral. What is the value of x?

Find the indicated measure of NM in Parallelogram EFGH. Explain.

• 4

• 2

• 8

• 30⁰

Find the indicated measure of <JML in Parallelogram EFGH. Explain.

• 140⁰

• 70⁰

• 180⁰

• 30⁰

Find the indicated measure of <LKN in Parallelogram EFGH. Explain.

• 140⁰

• 70⁰

• 180⁰

• 30⁰