Properties of Squares and Rhombi

Properties of Squares and Rhombi

Today's goal: Classify and use properties of the special parallelograms: rhombi and squares.

Multiple Choice

Figure A can best be classified as a...

• Rectangle
• Square
• Rhombus

Multiple Choice

Figure B can best be classified as a...

• Rectangle
• Square
• Rhombus

Multiple Choice

Figure C can best be classified as a...

• Rectangle
• Square
• Rhombus

Multiple Choice

Which is NOT a property of a parallelogram?

• Diagonals bisect each other
• Diagonals are congruent
• Both pairs of opposite sides are parallel
• Both pairs of opposite angles are congruent

Multiple Choice

A square has all the properties of a

• parallelogram
• rectangle
• rhombus
• parallelogram, rectangle, and rhombus

Multiple Choice

The diagonals of a square 

• form two 45° angles at each vertex
• form two 40° angles at each vertex
• form two 35° angles at each vertex
• form two 50° angles at each vertex

Multiple Choice

The diagonals of a rhombus are

• parallel
• congruent
• perpendicular
• equal to the side lengths

Multiple Choice

The diagonals of a square are

• parallel
• congruent
• perpendicular
• congruent and perpendicular

Multiple Select

Quick Check: Which of the following is NOT a key characteristic of ALL parallelograms?

• Opposite Sides Are Parallel and Congruent

• Consecutive Angles Are Supplementary

• The Sum of Interior Angles Is >360 Degrees

• Opposite Angles Are Congruent

• Diagonals Are Perpendicular

Recall:

• Diagonals Are Not ALWAYS Perpendicular

• Diagonals Do Not ALWAYS Bisect Angles

• Consecutive Sides Are Not ALWAYS Congruent

All Rhombi Are Parallelograms...

...But Not All Parallelograms Are Rhombi. Why?

Open Ended

What Characteristics Make Rhombi Different From Other Parallelograms?

Characteristics of Rhombi:

• All Sides Are Congruent

• Diagonals Bisect Opposite Angles

• Diagonals Are Perpendicular (i.e., they form Right Angles)

Open Ended

Quadrilateral JKLM is a rhombus. If JK = 12 and JN = 7, what are the measures of JM, JL, MN, and MK? (Please list in the order given)

Open Ended

Find the missing angle measures in this rhombus.

All Squares Are Parallelograms...

...But Not All Parallelograms Are Squares. Why?

Open Ended

What Characteristics Make the Above Square Different from the Above Parallelogram?

Characteristics of Squares:

• All Characteristics of Parallelograms

• All Characteristics of Rectangles, AND

• All Characteristics of Rhombi

• WHOA

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Survey Time!

Please complete today's second Google Form linked on Google Classroom.

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