Polygons And Quadrilaterals Worksheet - Unit 9, Humble Independent School District Page 26
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35Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle rhombus, or
square. Give all the names that apply.
Example
P(-1, 4), Q (2, 6), R(4, 3), S(1, 1)
Step 1 - Graph
PQRS.
Step 2 - Find PR and QS to determine if PQRS is a rectangle.
PQ =
RS =
The diagonals are _____________, therefore PQRS is a __________________.
Step 3 - Determine if
PQRS is a rhombus.
Slope of PR =
Slope of QS =
Since __________, ___________,
PQRS is a rhombus.
Step 4 - Determine if
PQRS is a square.
Since
PQRS is a ___________________ and a _________________, it has four ___________ angles and
four ________________ sides. So
PQRS is a square by ________________.
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