QUADRILATERALS

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CHAPTER 6

• QUADRILATERALS
• OR
• HOW TO BE 4 SIDED AND NOT JUST BE A SQUARE

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6-1

• CLASSIFYING QUADRILATERALS

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OVERVIEW OF SPECIAL QUADRILATERALS

• PARALLELOGRAM BOTH PAIRS OF OPPOSITE SIDES ARE
  PARALLEL.
• RHOMBUS 4 CONGRUENT SIDES
• RECTANGLE 4 RIGHT ANGLES
• SQUARE 4 CONGRUENT SIDES
• AND 4 RIGHT ANGLES

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OVERVIEW OF SPECIAL QUADRILATERALS

• KITE 2 PAIRS OF ADJACENT SIDES AND NO OPPOSITE
  SIDES .
• TRAPEZOID EXACTLY 1 PAIR OF PARALLEL SIDES.
• ISOSCELES TRAPEZOID TRAPEZOID WITH CONGRUENT
  NONPARALLEL SIDES.

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Classifying Quadrilaterals
LESSON 6-1
Additional Examples
Judging by appearance, classify ABCD in as many
ways as possible.
ABCD is a quadrilateral because it has four
sides.
Quick Check
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Classifying Quadrilaterals
LESSON 6-1
Additional Examples
Determine the most precise name for the
quadrilateral with vertices Q(4, 4), B(2, 9),
H(8, 9), and A(10, 4).
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Classifying Quadrilaterals
LESSON 6-1
Additional Examples
(continued)
One pair of opposite sides are parallel, so QBHA
is a trapezoid.
Next, use the distance formula to see whether any
pairs of sides are congruent.
Because QB HA, QBHA is an isosceles trapezoid.
Quick Check
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Classifying Quadrilaterals
LESSON 6-1
Additional Examples
In parallelogram RSTU, m R 2x 10 and m
S 3x 50. Find x.
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Classifying Quadrilaterals
LESSON 6-1
Additional Examples
(continued)
Quick Check
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Classifying Quadrilaterals
LESSON 6-1
Lesson Quiz
Judging by appearance, classify the
quadrilaterals in Exercises 1 and 2 in as many
ways as possible.
1.
2.
quadrilateral, parallelogram, rectangle,
rhombus, square
quadrilateral, kite
4. What is the most precise name for the
figure in Exercise 2?
3. What is the most precise name for the
figure in Exercise 1?
square
kite
5. Find the values of the variables in the
rhombus to the right.
a 60, x 6, y 2