6-5 Properties of Special Parallelograms

What are the properties of a rectangle?

• Four acute angles and opposite sides that are equal in length

• Three right angles and opposite sides that are equal in length

• Four right angles and opposite sides that are equal in length

• Two right angles and opposite sides that are equal in length

Tags

CCSS.5.G.B.4

Explain the properties of a rhombus.

• Diagonals are parallel to each other, opposite angles are not congruent

• All sides are different lengths, opposite angles are congruent

• All sides are congruent, diagonals do not bisect each other

• All sides are congruent, opposite angles are congruent, diagonals bisect each other at right angles.

Tags

CCSS.HSG.CO.C.11

Identify the properties of a square.

• Two equal sides and two right angles

• Four equal sides and four right angles

• Five equal sides and five right angles

• Three equal sides and three right angles

Tags

CCSS.HSG.CO.C.11

Explain the properties of a parallelogram.

• The diagonals are perpendicular to each other

• The sum of all angles is 180 degrees

• All sides are of different lengths

• Opposite sides are equal in length, opposite angles are equal in measure, and the diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Which word best describes a parallelogram with diagonals that are congruent and perpendicular?

• parallelogram

• rectangle

• rhombus
• square

Tags

CCSS.HSG.CO.C.11

What is the measure of ∠ZYW in rhombus WXYZ?

• 38.5°

• 51.5°

• 77°

• 103°

Tags

CCSS.HSG.CO.C.11

Write an expression in terms of x to represent AD in rhombus ABCD.

Mathematical Equivalence

ON

Tags

CCSS.HSG.CO.C.11

In rectangle PQRS, SP = 7 and PR = 25. What is the measure of PQ?

(a)  

Tags

CCSS.HSG.CO.C.11

On the graph shown, VT is the diagonal of a rhombus. The slope of the other diagonal is​ (a)   .

Tags

CCSS.8.EE.B.6

Select all the true statements about relationships within rectangles.

• Diagonals bisect each other

• Adjacent sides are perpendicular

• Diagonals are perpendicular

• Consecutive angles are supplementary

• Consecutive angles are congruent

Tags

CCSS.HSG.CO.C.11