Geometry Hour 6-Part 2 explores complex geometric concepts through practical problems, including reflections over lines, properties of parallelograms, and network constructions. It assesses understanding of coordinate geometry, shape properties, and spatial reasoning, suitable for advanced learners.
All triangles have two congruent sides.
Some triangles have two congruent sides.
Some isosceles triangles have three congruent sides
All figures with two congruent sides are isosceles triangles.
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Y = 0.12 x
Y = 0.6 x
Y = 0.12 x + 5
Y = 0.6 x + 5
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57 miles
58 miles
64 miles
70 miles
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( x , y )
( y , x + z )
( x + z , y )
( x − z , y )
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11
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Y = 15
Y = 70
Y = 115
Y = 120
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6
10
15
30
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D
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Equilateral
Isosceles
Right
Scalene
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D
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A
B
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D
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(−10, −7)
(1, 4)
(4, −7)
(4, 1)
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11.6 m
15.3 m
18.9 m
22.8 m
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Runner A, by 2 miles per hour
Runner B, by 2 miles per hour
Runner A, by 4 miles per hour
Runner B, by 4 miles per hour
$2,081
$2,200
$2,208
$10,200
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