Section 1.3 Measuring Line Segments - Ms. Blake...
Transcript of Section 1.3 Measuring Line Segments - Ms. Blake...
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Section 1.3 Measuring Line Segments
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How can we determine the area of this polygon?
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Investigation Page 17
Area of a square =Side length =
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Remember...
The formula for the area of a triangle is:
Area = base x height2
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Finding the area of squares on grid paper is easy if the squares are not tilted. To find the area of these squares you can count the blocks.
Areas of tilted squares are more difficult because they contain partial squares. To find the area of tilted squares, you break the square up into smaller triangles and squares.
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Ex: Find the area and side length of the following square
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Page 20 #'s 3,4(abc),5, 7(bc)
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Finding lengths of line segments
You can apply the concept of finding the area of tilted squares to find the area of line segments.
To find the length of a line segment, draw a tilted square using the line segment as the side of the square.
The length of the line segment will be the square root of the area of the square.
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Ex: Find the length of the line segment below:
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These line segments can also be linked with coordinate geometry.
Ex: Plot the following points on a coordinate grid. Find the length of the line segment connecting the two points.
(2,5) and (1,1)
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Worksheet