Download Congruent Polygon - Similar Polygon

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11.1 Similar Polygons
Congruent Polygon -
Hexagon ABCDEF is similar to Hexagon PQRSTU
Similar Polygon -
Ratio
Proportion
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Transformations
rigid -
non-rigid -
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C-92 Dilation Similarity Conjecture
If one polygon is the image of another
polygon under a dilation then the
polygons are similar.
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11.2 Similar Triangles
Shortcuts:
Congruences
Similarity
What needs to be true for triangles to be similar?
Look for counterexamples
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Two congruent angles
C-93 AA Similarity Conjecture
If two angles of one triangle are congruent to
two angles of another triangle then the
triangles are similar.
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Two sides in proportion
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Three sides in proportion
C-94 SSS Similarity Conjecture
If the three sides of one triangle are proportional
to the three sides of another triangle, then the
two triangles are similar.
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Two sides in proportion and a congruent angle
included angle
adjacent angle
C-95 SAS Similarity Conjecture
If two sides of one triangle are proportional to
two sides of another triangle and the included
angles are congruent; triangles are similar.
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* Go through estimating the height of the ceiling using a mirror
Lynda is standing 4 ft behind a fence 6.5ft. tall. When she looks over the fence, she can just see the top edge
of a building. She knows that the building is 32.5ft behind the fence. Her eyes are 5 ft from the ground. How
tall is the building?
You need to add 5 supports under a ramp, in addition to a 3.6m one at the end, so that they are all equally
spaced. How long should each support be?
Driving through the mountains, Jon has to go up and over a high mountain pass. The road has a constant
incline for 7.75 miles to the top of the pass. Jon notices from a road sign that in the first mile he climbs 840
feet. What is the height of the mountain pass?
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y
6
4
2
-6
-4
-2
2
-2
-4
-6
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6
x
March 27, 2014
y
6
4
2
-6
-4
-2
2
-2
-4
-6
4
6
x