a.
To find:A quadrilateral with diagonals that are perpendicular bisector of each other.
a.
Answer to Problem 6PSA
A quadrilateral is rhombus.
Explanation of Solution
Given information:
A quadrilateral with diagonals that are perpendicular bisector of each other.
A quadrilateral whose diagonals bisect each other at right
b.
To find:A rectangle that is also a kite.
b.
Answer to Problem 6PSA
A rectangle is square.
Explanation of Solution
Given information:
A rectangle that is also a kite.
A kite has got two pairs of sides next to each other that have equal length but none of the sides are parallel.
A square has all sides equal with two pair of sides parallel to each other. Likewise, every square is also a rectangle, because a rectangle has four right angles, but every rectangle is not square.
c.
To find:A quadrilateral with opposite angles supplementary and consecutive angles supplementary.
c.
Answer to Problem 6PSA
A quadrilateral is rectangle.
Explanation of Solution
Given information:
If we take pair of opposite angles there sum will be 180 degrees.
Supplementary angles are those who add up to 180 degrees.
In rectangle, all angles are right angles.
If we take pair of opposite angles there sum will be 180 degrees.
If we take pair of consecutive angles there also sum will be 180 degrees.
d.
To find:A quadrilateral with one pair of opposite sides congruent and the other pair of opposite sides parallel.
d.
Answer to Problem 6PSA
A quadrilateral is Isosceles Trapezoid.
Explanation of Solution
Given information:
A quadrilateral with one pair of opposite sides congruent and the other pair of opposite sides parallel.
In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length. The diagonals are also of equal length.
Chapter 5 Solutions
Geometry For Enjoyment And Challenge
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