Learn to name and identify types of quadrilaterals.€¦ · Give all the names that apply to the...
24
Learn to name and identify types of quadrilaterals. Course 2 7-7 Quadrilaterals
Transcript of Learn to name and identify types of quadrilaterals.€¦ · Give all the names that apply to the...
Learn to name and identify types of
quadrilaterals.
Course 2
7-7 Quadrilaterals
Vocabulary
parallelogram
rhombus
rectangle
square
trapezoid
kite
Insert Lesson Title Here
Course 2
7-7 Quadrilaterals
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A parallelogram has two pairs of parallel sides.
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A rhombus has four congruent sides.
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A rectangle has four right angles.
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A square has four congruent sidesand four right angles.
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A trapezoid has exactly one pairof parallel sides.
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.
A kite has exactly two pairs of congruent adjacent sides.
Course 2
7-7 Quadrilaterals
Quadrilaterals can have more than onename because the special quadrilateralssometimes share properties.
Give all the names that apply to the quadrilateral.
Additional Example 1A: Identifying Types of
Quadrilaterals
Course 2
7-7 Quadrilaterals
This figure has two pairs of parallel sides, so it is a parallelogram.
It has four congruent sides, so it is also a rhombus.
Give all the names that apply to the quadrilateral.
Additional Example 1B: Identifying Types of
Quadrilaterals
Course 2
7-7 Quadrilaterals
The figure has exactly two pairs of congruent, adjacent sides, so it is a kite.
It does not fit the definitions of any of the other special quadrilaterals.
Give all the names that apply to the quadrilateral.
Additional Example 1C: Identifying Types of
Quadrilaterals
Course 2
7-7 Quadrilaterals
The figure has two pairs of parallel sides, so it is a parallelogram.
It has four right angles, so it is also a rectangle.
Give all the names that apply to the quadrilateral.
Try This: Example 1A
Course 2
7-7 Quadrilaterals
This figure has two pairs of parallel sides, so it is called a parallelogram.
It has four right angles, so it is also a rectangle.
Give all the names that apply to the quadrilateral.
Try This: Example 1B
Course 2
7-7 Quadrilaterals
The figure has two pairs of parallel sides, so it is a parallelogram.
6 ft6 ft
6 ft 6 ft It has four congruent sides, so it is also a rhombus.
Give all the names that apply to the quadrilateral.
Try This: Example 1C
Course 2
7-7 Quadrilaterals
The figure has exactly one pair of parallel sides, so it is a trapezoid.
It does not fit the definitions of any of the other special quadrilaterals.
Tell whether the statement is true or false. Explain your answer.
Additional Example 2A: Recognizing Relationships
Between Quadrilaterals
Course 2
7-7 Quadrilaterals
A. All rhombuses are squares.
A rhombus has four congruent sides, but some may or may not have right angles. The statement is false.
Tell whether the statement is true or false. Explain your answer.
Additional Example 2B: Recognizing Relationships
Between Quadrilaterals
Course 2
7-7 Quadrilaterals
B. Not all squares are rectangles.
A square has four right angles. A rectangle also has four right angles. So a square is a rectangle. The statement is false.
Tell whether the statement is true or false. Explain your answer.
Additional Example 2C: Recognizing Relationships
Between Quadrilaterals
Course 2
7-7 Quadrilaterals
C. Some parallelograms are squares.
A square has all the properties of a parallelogram, so some parallelograms do have equal sides and right angles; however, some do not. The statement is true.
Tell whether the statement is true or false. Explain your answer.
Try This: Example 2A
Course 2
7-7 Quadrilaterals
A. All squares are rectangles.
A square has four right angles. A rectangle also has four right angles. So a square is a rectangle. The statement is true.
Tell whether the statement is true or false. Explain your answer.
Try This: Example 2B
Course 2
7-7 Quadrilaterals
B. Some rectangles are squares.
If the rectangle has four congruent sides, then it is a square. The statement is true.
Tell whether the statement is true or false. Explain your answer.
Try This: Example 2C
Course 2
7-7 Quadrilaterals
C. Some trapezoids are squares.
A square has two sets of parallel sides, but a trapezoid has only one set of parallel sides. The statement is false.
Lesson Quiz: Part 1
Insert Lesson Title Here
Course 2
7-7 Quadrilaterals
1. Give all the names that apply to the quadrilateral.
rhombusparallelogram
Identify the quadrilateral described.
2. 4 right angles, 4 congruent sides
square
3. only one pair of parallel sides
trapezoid
Lesson Quiz: Part 2
Insert Lesson Title Here
Course 2
7-7 Quadrilaterals
Tell if each statement is true or false. Explain.
4. All quadrilaterals are parallelograms.
False; a quadrilateral is any 4-sided polygon.
5. Every parallelogram is a rectangle.
False; a rectangle is a specific kind of parallelogram with four right angles.
