Properties of Rhombi

Presentation

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Mathematics

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9th - 10th Grade

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Hard

Joseph Anderson

FREE Resource

7 Slides • 11 Questions

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?

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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)

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Open Ended

Find the missing angle measures in this rhombus.

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All Squares Are Parallelograms...

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

Open Ended

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

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Characteristics of Squares:

All Characteristics of Parallelograms
All Characteristics of Rectangles, AND
All Characteristics of Rhombi
WHOA

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Properties of Squares and Rhombi

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

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