Holt CA Course 1 9-8 Classifying Quadrilaterals MG2.3 Draw quadrilaterals and triangles from given...
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Holt CA Course 1 9-8 Classifying Quadrilaterals MG2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles triangle.) California Standards
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Transcript of Holt CA Course 1 9-8 Classifying Quadrilaterals MG2.3 Draw quadrilaterals and triangles from given...
Holt CA Course 1
9-8 Classifying Quadrilaterals
MG2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles triangle.)
California Standards
Holt CA Course 1
9-8 Classifying Quadrilaterals
Vocabulary
parallelogramrectanglerhombussquaretrapezoid
Holt CA Course 1
9-8 Classifying Quadrilaterals
Some quadrilaterals have properties that classify them as special quadrilaterals.
ParallelogramBoth pairs of opposite sides are parallel. You can also classify a quadrilateral as a parallelogram if both pairs of opposite sides or both pairs of opposite angles are congruent.
Holt CA Course 1
9-8 Classifying Quadrilaterals
A rectangle is a parallelogram with four right angles.
A rhombus is a parallelogram with four congruent sides.
Holt CA Course 1
9-8 Classifying QuadrilateralsA square is a parallelogram with four congruent sides and four right angles.
A trapezoid has exactly one pairof opposite sides that are parallel.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Quadrilaterals can have more than onename because the special quadrilateralssometimes share properties.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
A.
Additional Example 1: Classifying 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.
Rhombus best describes this quadrilateral.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Additional Example 1: Identifying Types of Quadrilaterals
The figure has exactly one pair of opposite sides that is parallel, so it is a trapezoid.
Trapezoid best describes this quadrilateral.
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
B.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Additional Example 1: Identifying Types of 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. Then give the name that best describes it.
C.
Rectangle best describes this quadrilateral.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Additional Example 1: Identifying Types of Quadrilaterals
The figure has two pairs of parallel sides and both pairs of opposite angles are congruent, so it is a parallelogram.
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
D.
Parallelogram best describes this quadrilateral.
Holt CA Course 1
9-8 Classifying QuadrilateralsCheck It Out! Example 1
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. Then give the name that best describes it.
A.
Rectangle best describes this quadrilateral.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Check It Out! Example 1
The figure has two pairs of parallel sides, so it is a parallelogram.
It has four congruent sides, so it is also a rhombus. It does not have four right angles, so it is not a square or rectangle.
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
B.
Rhombus best describes this quadrilateral.
Holt CA Course 1
9-8 Classifying QuadrilateralsCheck It Out! Example 1
The figure has two pairs of opposite sides that are parallel, so it is a parallelogram.
It has four right angles, so it is also a rectangle. It has four congruent sides, so it is also a rhombus and a square.
Give all the names that apply to the quadrilateral. Then give the name that best describes it.
C.
Square best describes this quadrilateral.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Draw each figure. If it is not possible to draw explain why.
Additional Example 2: Drawing Quadrilaterals
A. a rectangle that is not a rhombus.
The figure has opposite sides that are parallel but does not have four congruent sides.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Draw each figure. If it is not possible to draw explain why.
Additional Example 2: Drawing Quadrilaterals
B. a square that is not a rhombus.
Not possible; all squares are rhombi because they have 4 congruent sides.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Draw each figure. If it is not possible to draw explain why.
Check It Out! Example 2
A. a trapezoid that is a rectangle.
Not possible; A rectangle has four right angles and a trapezoid does not.
Holt CA Course 1
9-8 Classifying Quadrilaterals
Draw each figure. If it is not possible to draw explain why.
Check It Out! Example 2
B. a rhombus that is not a square.
The figure has four congruent sides but no right angles.
Possible answer:
