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How are a square and a rhombus similar and different?. rhombus. square. In this lesson you will learn how to compare and contrast quadrilaterals by listing the attributes they share and those they don’t. Quadrilaterals with 2 sets of parallel sides:. rectangle. 2 sets of parallel sides - PowerPoint PPT Presentation
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How are a square and a rhombus similar and
different?
squarerhombus
In this lesson you will learn how to compare and contrast quadrilaterals by listing the
attributes they share and those they don’t.
Let’s ReviewLet’s Review Quadrilaterals with 2 sets of parallel sides:
squarerectangle
parallelogram
rhombus
• 2 sets of parallel sides
• 2 pairs of congruent sides
• 2 sets of parallel sides
• 2 pairs of congruent sides
• 4 right angles• 2 sets of parallel
sides• 4 congruent
sides• 4 right angles• 2 sets of parallel
sides• 4 congruent sides
Let’s ReviewLet’s Review Quadrilaterals with 1 or less sets of parallel sides:
trapezoid
non-specificquadrilateral
isosceles trapezoid
• 1 set of parallel sides
• 1 set of parallel sides
• 1 pair of congruent sides
• 4 sides
Let’s ReviewA Common Mistake
Thinking that all quadrilaterals are totally separate from each other.
A square and a rectangle are
totally different.Right?
square
rectangleX
Let’s ReviewCore Lesson Compare and contrast a parallelogram and a rhombus.
A parallelogram has:• 2 sets of parallel
sides• 2 pairs of
congruent sides
A rhombus has:• 2 sets of
parallel sides• 4 congruent
sides
parallelogramrhombus
• 2 sets of parallel sides
• 4 congruent sides
• AT LEAST 2 pairs of congruent sides
Let’s ReviewCore Lesson
A square has:• 2 sets of parallel
sides• 4 congruent sides• 4 right angles
A rhombus has:• 2 sets of
parallel sides• 4 congruent
sides
squarerhombus
• 2 sets of parallel sides • 4 right
angles• 4 congruent sides
How are a square and a rhombus similar and
different?
Let’s ReviewCore Lesson How are a square and a rhombus similar and different?
similar different• They both have
all congruent sides (4 equal sides).
• They both have 2 sets of parallel sides.
• A square must have 4 right angles.
In this lesson you have learned how to compare and contrast quadrilaterals by listing the
attributes they share and those they don’t.
Let’s ReviewGuided Practice What makes a trapezoid different from a parallelogram?
different• A parallelogram MUST
have 2 pairs of parallel sides, and a trapezoid has only 1.
• A parallelogram MUST have 2 pairs of congruent sides, and a trapezoid may or may not have any.
parallelogram • 2 sets of parallel sides
• 2 pairs of congruent sides
trapezoid • 1 set of parallel sides
• 1 pair of congruent sides (isosceles)
Let’s ReviewExtension Activities
Choose two quadrilaterals for a classmate. Ask him/her to compare and contrast them for you. Have him/her tell you what makes them similar and what makes them different.
Let’s ReviewExtension Activities
Make a list of all the quadrilaterals you know. Sort them into groups based on attributes they share. Be ready to explain why you chose to sort them the way you did.
Let’s ReviewQuick Quiz
What attributes are shared between a square and a rectangle?
How are a rectangle and a parallelogram similar and different?