Rhombi and Squares

Properties of Squares and Rhombi

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

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

Fill in the Blank

ABCD is a square. If AD = 10 and ED = 10*sqrt(2), what is the length of DC? Give only the number in your answer.

Fill in the Blank

PQRS is a square. If QR = 7 and m<QRT = 45 degrees, what is the measure of m<QTR? Only give the number in your answer.

Survey Time!

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

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