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MJ2A
Ch 10.4 - Quadrilaterals
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Bellwork
• Identify each transformation as a reflection, rotation or translation:
1. 2. 3.
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Assignment Review
• Text p. 510 # 7 – 13
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Before we begin…
• Please take out your notebook and get ready to work…
• Yesterday we looked at transformations on the coordinate plane…we will continue with the geometric theme today by looking at quadrilaterals….
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Objective
• Students will classify quadrilaterals and find missing angle measurements.
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What is a Quadrilateral?
• Raise you hand if you can tell what a quadrilateral is….
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Quadrilaterals
• Quadrilaterals are closed four sided figures with four vertices.
• The prefix Quad means four…
• The line segments that make up quadrilaterals intersect only at their endpoints.
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Examples of Quadrilaterals
• Are Quadrilaterals:
• Are NOT Quadrilaterals:
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Finding Missing Measures
• In a Quadrilateral the sum of the angle measurements equals 360°
• To find a missing measure add up the given measurements and subtract from 360°
• Lets look at an example…
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Example
• In the example to find the measure of angle x add all the other angles and subtract from 360°
62 + 88 + 2x + x = 360150 + 2x + x = 360150 + 3x = 360-150 -150 3x = 210 3 3 x = 70Therefore, D = 70° and
C = 140°
62°
88°
2x°
x°A
B
C
D
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Your Turn
• In the notes section of your notebook draw and label the quadrilateral, find the value of x. Then find each missing angle measurement.
4x°
75°
110°
x°Q
R S
T
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Classifying Quadrilaterals
• When classifying quadrilaterals the description that is most specific is what is used.
• Let’s see what that looks like…
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Classifying Quadrilaterals
Quadrilateral
Trapezoid
Parallelogram
Rectangle
Square
Rhombus
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Summary
• In the notes section of your notebook summarize the key concepts covered in today’s lesson
• Today we discussed– Finding the missing measure of quadrilaterals
– how do you do that?– Classifying Quadrilaterals – how do you
classify them?
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Assignment
• Your assignment is to create a quadrilateral map…I will provide you with the format.
• You are to Identify each quadrilateral and the characteristics of each.
• You may use text p. 514 to help you…however you should already know most of this material….
• This assignment is due tomorrow!