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Published byCora Wilkerson Modified over 8 years ago

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Warm Up The lengths of three sides of a triangle are given. Classify the triangle. 1. 12, 12, 12 2. 18, 10, 14 3. 15, 15, 26 equilateral scalene isosceles

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**Learn to identify, classify, and compare quadrilaterals.**

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**Vocabulary quadrilateral parallelogram rectangle rhombus square**

trapezoid

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**A quadrilateral is a plane figure with four sides and four angles.**

Five special types of quadrilaterals and their properties will be shown in this lesson. The same mark on two or more sides of a figure indicates that the sides are congruent.

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**Opposite sides are parallel and congruent**

Opposite sides are parallel and congruent. Opposite angles are congruent. Parallelogram Parallelogram with four right angles. Opposites sides are parallel and congruent. Rectangle

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**Parallelogram with four congruent sides. Opposite angles are congruent.**

Rhombus Rectangle with four congruent sides. All angles are right angles. Square

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**Quadrilateral with exactly two parallel sides**

Quadrilateral with exactly two parallel sides. May have two right angles. Trapezoid

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**Additional Example 1A: Naming Quadrilaterals**

Give the most descriptive name for each figure. There are two parallel sides. There are no congruent angles. The figure is a quadrilateral and a trapezoid. Trapezoid is the most descriptive name.

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**Additional Example 1B: Naming Quadrilaterals**

Give the most descriptive name for each figure. There are four congruent sides and four right angles. The figure is a quadrilateral, a parallelogram, and a rectangle. Rectangle is the most descriptive name.

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**Additional Example 1C: Naming Quadrilaterals**

Give the most descriptive name for each figure. The figure is a plane figure with three congruent sides. Equilateral triangle is the most descriptive name.

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**Additional Example 1D: Naming Quadrilaterals**

Give the most descriptive name for each figure. There are four congruent sides, and opposite angles are congruent. The figure is a quadrilateral, parallelogram, and rhombus. Rhombus is the most descriptive name.

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**There are two parallel sides. There are no congruent angles.**

Check It Out: Example 1A Give the most descriptive name for each figure. There are two parallel sides. There are no congruent angles. The figure is a quadrilateral and a trapezoid. Trapezoid is the most descriptive name.

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**There are two pairs of congruent sides. **

Check It Out: Example 1B Give the most descriptive name for each figure. There are two pairs of congruent sides. The figure is a quadrilateral and parallelogram. Parallelogram is the most descriptive name.

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**This figure is an isosceles triangle.**

Check It Out: Example 1C Give the most descriptive name for each figure. The figure is a plane figure with three sides, two of them being congruent. This figure is an isosceles triangle.

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**There are four congruent sides. **

Check It Out: Example 1D Give the most descriptive name for each figure. There are four congruent sides. The figure is a quadrilateral and parallelogram. Parallelogram is the most descriptive name.

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**You can draw a diagram to classify quadrilaterals based on their properties.**

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**Additional Example 2: Classifying Quadrilaterals**

Complete each statement. A. A rectangle can also be called a ________. B. A parallelogram cannot be a __________. ? A rectangle has opposite sides that are parallel; it can be called a parallelogram. ? A parallelogram has opposite sides that are parallel; it cannot be called a trapezoid.

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Check It Out: Example 2 Complete each statement. A. A rhombus with four right angles is a ________. B. A trapezoid has exactly _______ parallel sides, and may have _____ right angles. ? A rhombus has four congruent sides, and the opposite sides are parallel. If it has four right angles, then it is a square. ? ? A trapezoid is a quadrilateral with exactly two parallel sides and it may have two right angles.

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Lesson Quiz Complete each statement. 1. A quadrilateral with four right angles is a _________. 2. A parallelogram with four right angles and four congruent sides is a _______. 3. A figure with 4 sides and 4 angles is a ______. 4. Give the most descriptive name for this quadrilateral. ? square or rectangle ? square ? quadrilateral trapezoid

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