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Subscribe to Homeschool Math Newsletter - filled with math teaching information February 2010 newsletter
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The ideas in this geometry lesson are taken from the Geometry ebook that I sell at MathMammoth.com. This lesson plan does not contain all the problems the Geometry ebook does. Angles with the same vertex and vertical angles
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Look at the picture. How many angles do you see?
The two angles DAC and CAB have the same vertex point A. What is the sum of the measures of those two angles?
_____________ |
1. Measure all the angles in the pictures, including if there are any straight angles, and mark them on the pictures. Calculate the sum of the angles. (Due to measuring errors you might not get the same result in the two pictures.)
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| sum of the angles = __________ | sum of the angles = __________ |
2. Measure the angles DAC and CAB in both pictures. What is the sum of the two angles? Why? In the second picture, measure also the angles DAE and EAB and calculate their sum.
| [Pictures available in the ebook] | [Picture available in the ebook] | |||
| angle DAC = _____
angle CAB = _____ sum of the angles = _______ |
angle DAC = _____
angle CAB = _____ sum = _______ |
angle DAE = _____
angle EAB = _____ sum = _______ |
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3. Calculate the angles. What is the principle you are to use? Note: do not try to measure, because the pictures are not exact.
![]() a. angle ABC = _______ |
![]() b. angle DAC = ______ |
| Look at the picture. How many angles do you see?
These four angles are formed by two lines that intersect or cross each other at one point, A. Measure the angles DAC and EAB.
DAC = _________; EAB = __________ What do you notice? Angles DAC and EAB are vertical angles. Also angles DAE and CAB are vertical angles.
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4. Calculate the angles. Note: do not try to measure, because the pictures are not exact.
[Pictures available in the ebook]
5. Calculate the angles based on the given information. Do not
measure since the picture is not exact.:
[Pictures available in the ebook]
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New terms to remember:
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Copyright 2003-2010 Maria Miller
http://www.homeschoolmath.net/