Directions Prove using coordinate geometry (there are three problems) 1. The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove that quadrilateral MATH is a parallelogram. Prove that quadrilateral MATH is a rectangle.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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Directions
Prove using coordinate geometry (there are
three problems)
1. The vertices of quadrilateral MATH have
coordinates M(-4,2), A(-1,-3), T(9,3), and
H(6,8). Prove that quadrilateral MATH is a
parallelogram. Prove that quadrilateral MATH
is a rectangle.
2.The vertices of quadrilateral JKLM have
coordinates J(-3,1), K(1,-5), L(7,-2), and
M(3,4). Prove that JKLM is a parallelogram.
Prove that JKLM is not a rhombus
3. Triangle ABC has coordinates A(-6,2),
B(-3,6), and C(5,0). Find the perimeter of the
triangle. Express your answer in simplest
radical form
Transcribed Image Text:Directions Prove using coordinate geometry (there are three problems) 1. The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove that quadrilateral MATH is a parallelogram. Prove that quadrilateral MATH is a rectangle. 2.The vertices of quadrilateral JKLM have coordinates J(-3,1), K(1,-5), L(7,-2), and M(3,4). Prove that JKLM is a parallelogram. Prove that JKLM is not a rhombus 3. Triangle ABC has coordinates A(-6,2), B(-3,6), and C(5,0). Find the perimeter of the triangle. Express your answer in simplest radical form
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