Geo H Parallelograms Quiz Practice

Which of these is not a property of a parallelogram?

• Consecutive sides are supplementary

• Opposite sides congruent

• Opposite angles are congruent

• Diagonals bisect each other

In the diagram of parallelogram ABCD with diagonals AC and BD, m∠1 = 45 and m∠DCB = 120. What is the measure of ∠2?

• $15^{\degree}$

• $30^{\degree}$

• $45^{\degree}$

• $60^{\degree}$

In the diagram, parallelogram ABCD has diagonals AC and BD that intersect at point E. Which expression is not always true?

• ∠DAE ≅ ∠BCE

• ∠DEC ≅ ∠BEA

• AC ≅ DB

• DE≅EB

In the diagram, ABCD is a parallelogram, AB is extended through B to E, and CE is drawn. If CE ≅ BE and m∠D = 112°, what is m∠E?

• $44^{\degree}$

• $56^{\degree}$

• $68^{\degree}$

• $112^{\degree}$

A quadrilateral must be a parallelogram if:

• one pair of sides is parallel and one pair of angles is congruent

• one pair of sides is congruent and one pair of angles is congruent

• one pair of opposite sides is both parallel and congruent

• the diagonals are congruent

In parallelogram QRST, diagonal QS is drawn. Which statement must always be true?

• QRS is an isosceles triangle.

• STQ is an acute triangle.

• QS≅QT 

•  $\Delta STQ\cong\Delta QRS$  

• 4

• 6

• 12

• 15

In parallelogram JKLM, m∠L exceeds m∠M by 30 degrees. What is the measure of m∠J?

• 75°

• 105°

• 165°

• 195°

In the diagram above of parallelogram STUV, SV = 2x + 7, VU = x + 9, and TU = 5x − 11.

What is the perimeter of STUV?

• 6

• 15

• 19

• 68

Which of these is not true regarding a parallelogram?

• Angles sum to 360 degrees.

• Consecutive angles sum to 180 degrees.

• Opposite angles sum to 180 degrees.

• Opposite sides are parallel.