Transcript 7-6

Page 346 #6-14 & 28-36 (SR)
Ch 7 Learning Goal: PLANE GEOMETRY
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Learn to describe the figures by using the terms of geometry (7-1)
Learn to name, measure, classify, estimate and draw angles (7-2)
Learn to understand relationship of angles (7-3)
Learn to classify the different types of lines (7-4)
Learn to classify triangles and solve problems involving angle and side
measures of triangles (7-5)
Learn to identify, classify, and compare quadrilaterals (7-6)
Learn to identify regular and not regular polygons and to find the angle
measures of regular polygons (7-7)
Learn to recognize, describe, and extend geometric patterns (7-8)
Learn to identify congruent figures and to use congruence to solve
problems (7-9)
Learn to use translations, reflections, and rotations to transform geometric
shapes (7-10)
Learn to identify line symmetry (7-11)
Learn to identify tessellations and shapes that can tessellate (7-12)
7-6 Quadrilaterals
th
6
Grade Math Homework
Page 350
#1-12 & #34-36
(Spiral Review)
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7-6 Quadrilaterals
Warm Up
Problem of the Day
Lesson Presentation
Course 1
7-6 Quadrilaterals
Warm Up
The lengths of three sides of a triangle
are given. Classify the triangle.
1. 12, 12, 12
equilateral
2. 18, 10, 14
scalene
3. 15, 15, 26
isosceles
4. 23, 36, 16
scalene
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7-6 Quadrilaterals
Problem of the Day
How many different rectangles are
in the figure.
10; if the rectangles are marked 1-5
clockwise from upper left, they are 1; 2;
3; 4; 5; 1-2; 3-4; 4-5; 3-5; 1-2-3-4-5.
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7-6 Quadrilaterals
Today’s Learning Goal Assignment
Learn to identify,
classify, and
compare
quadrilaterals.
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7-6 Quadrilaterals
Insert Lesson Title Here
Vocabulary
quadrilateral
parallelogram
rectangle
rhombus
square
trapezoid
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7-6 Quadrilaterals
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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7-6 Quadrilaterals
You can draw a diagram to classify
quadrilaterals based on their properties.
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7-6 Quadrilaterals
Parallelogram
Rectangle
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Opposite sides
are parallel and
congruent.
Opposite angles
are congruent.
Parallelogram
with four right
angles.
7-6 Quadrilaterals
Rhombus
Square
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Parallelogram with
four congruent
sides.
Rectangle with
four congruent
sides.
7-6 Quadrilaterals
Trapezoid
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Quadrilateral with
exactly two parallel
sides. May have
two right angles.
7-6 Quadrilaterals
Additional Example 1A: Naming Quadrilaterals
Give the most descriptive name for each
figure.
A.
The figure is a quadrilateral
and a trapezoid.
Trapezoid is the most descriptive name.
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7-6 Quadrilaterals
Try This: Additional Example 1A
Give the most descriptive name for each
figure.
A.
The figure is a
quadrilateral and a
trapezoid.
Trapezoid is the most descriptive
name.
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7-6 Quadrilaterals
Additional Example 1B: Naming Quadrilaterals
Give the most descriptive name for each
figure.
B.
The figure is a quadrilateral, a
parallelogram, and a rectangle.
Rectangle is the most descriptive
name.
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7-6 Quadrilaterals
Try This: Additional Example 1B
Give the most descriptive name for each
figure.
B.
The figure is a quadrilateral.
Parallelogram is the most descriptive
name.
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7-6 Quadrilaterals
Additional Example 1C: Naming Quadrilaterals
Give the most descriptive name for each
figure.
C.
The figure is a plane figure
with three congruent sides.
Equilateral triangle is the most descriptive
name.
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7-6 Quadrilaterals
Try This: Additional Example 1C
Give the most descriptive name for each
figure.
C.
The figure is a plane
figure, but it has more
than 4 sides.
This figure is not a quadrilateral. It
is a hexagon.
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7-6 Quadrilaterals
Additional Example 1D: Naming Quadrilaterals
Give the most descriptive name for each
figure.
D.
The figure is a
quadrilateral,
parallelogram,
and rhombus.
Rhombus is the most descriptive
name.
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7-6 Quadrilaterals
Try This: Additional Example 1D
Give the most descriptive name for each
figure.
D.
The figure is a quadrilateral
and a parallelogram.
Parallelogram is the most descriptive
name.
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7-6 Quadrilaterals
Additional Example 2A & 2B: Classifying
Quadrilaterals
Complete each statement.
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A. A rectangle can also be called a ________.
A rectangle has opposite sides that are parallel;
it can be called a parallelogram.
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B. A parallelogram cannot be a __________.
A parallelogram has opposite sides that are
parallel; it cannot be called a trapezoid.
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7-6 Quadrilaterals
Try This: Example 2A & 2B
Complete each statement.
A. A rhombus with four right angles is a
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________.
A rhombus has four congruent sides, and the
opposite sides are parallel. If it has four right
angles, then it is a square.
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B. A trapezoid has exactly _______
parallel
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sides, and may have _____
right angles.
A trapezoid is a quadrilateral with exactly two
parallel sides and it may have two right angles.
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7-6 Quadrilaterals
Insert Lesson Title Here
Lesson Quiz
Complete each statement.
1. A quadrilateral with four right angles is a
_________.
square or rectangle
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2. A parallelogram with four right angles and four
congruent sides is a _______.
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square
3. A figure with 4 sides and 4 angles is a ______.
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quadrilateral
4. Give the most descriptive name for this
quadrilateral. trapezoid
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