Concept explainers
a.
Give the most descriptive name.
a.
Answer to Problem 1RP
Parallelogram.
Explanation of Solution
Given information:
A quadrilateral whose consecutive sides measure
Calculation:
A quadrilateral whose consecutive sides measure
The descriptive name is parallelogram opposite sides is parallel and congruent.
Hence, the name is parallelogram.
b.
Give the most descriptive name.
b.
Answer to Problem 1RP
Kite.
Explanation of Solution
Given information:
A quadrilateral whose consecutive sides measure
Calculation:
A quadrilateral whose consecutive sides measure
The descriptive name is kite both pairs of consecutive are congruent but opposite sides are not congruent.
Hence, the name is Kite.
c.
Give the most descriptive name.
c.
Answer to Problem 1RP
Trapezoid.
Explanation of Solution
Given information:
A quadrilateral with consecutive
Calculation:
A quadrilateral with consecutive angles measure
The descriptive name is trapezoid.
Hence, the name is trapezoid.
d.
Give the most descriptive name.
d.
Answer to Problem 1RP
Square.
Explanation of Solution
Given information:
A quadrilateral whose diagonals are perpendicular, congruent and bisect each other.
Calculation:
A quadrilateral whose diagonals are perpendicular, congruent and bisect each other,
The descriptive name is square
Hence, the name is square.
e.
Give the most descriptive name.
e.
Answer to Problem 1RP
Square.
Explanation of Solution
Given information:
A quadrilateral whose congruent diagonals bisect each other and bisect angles.
Calculation:
A quadrilateral whose congruent diagonals bisect each other and bisect angles,
The descriptive name is square
Hence, the name is square.
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