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more fun with similar triangles
Pamela Leutwyler
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AB is parallel to CD B A D C
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AB is parallel to CD B ABC = BCD A D C
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AB is parallel to CD B ABC = BCD ABC = BCD A AEB = CED E D C
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AB is parallel to CD B ABC = BCD ABC = BCD A AEB = CED E BAE = EDC D ABE is SIMILAR to CED C
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AB is parallel to CD B ABC = BCD ABC = BCD A AEB = CED x E BAE = EDC X D ABE is SIMILAR to CED C
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AB is parallel to CD B ABC = BCD ABC = BCD y A AEB = CED x E BAE = EDC X D Y ABE is SIMILAR to CED C
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AB is parallel to CD B ABC = BCD ABC = BCD y A z AEB = CED x E BAE = EDC X Z D Y ABE is SIMILAR to CED C
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X Y Z x y z AB is parallel to CD B ABC = BCD ABC = BCD y A z
AEB = CED x E BAE = EDC X Z D Y X x Y y Z z = = C
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example 1
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these lines are parallel
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10 feet 9 feet 7 feet x y 3 feet
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10 feet 9 feet 7 feet x y 3 feet
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10 feet 9 feet 7 feet x y 3 feet
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10 feet 9 feet 7 feet x y 3 feet
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10 feet 9 feet 7 feet x y = 2.7 3 feet 9 y 10 3 = y = 2.7 feet
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10 feet 9 feet 7 feet x= 2.1 y = 2.7 3 feet 7 x 10 3 = x = 2.1
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10 feet 9 feet 7 feet x= 2.1 y = 2.7 3 feet
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these lines are parallel
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these lines are parallel
these angles have equal measure
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these lines are parallel
these angles have equal measure these angles have equal measure
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these triangles are similar
these lines are parallel these angles have equal measure these angles have equal measure these triangles are similar
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R Q P Q P r q p R these triangles are similar = = q p
these lines are parallel these angles have equal measure these angles have equal measure r these triangles are similar
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example 2
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BE is parallel to CD CD = 12 feet BE = 9 feet AD = 20 feet AE = ? C B A D E
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12 20 9 x BE is parallel to CD = CD = 12 feet BE = 9 feet AD = 20 feet
AE = 15 feet 12 9 20 x = C B A D E x = 15
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