a.
To find:The statement opposite sides of a kiteKITEare congruent is true.
a.
Answer to Problem 2PSA
The statementopposite sides are congruent is false.
Explanation of Solution
Given information:
A KITE with sides KI, IT, TE and KE.
Diagonals ofkiteKITEare KTand IE.
Two disjoints pairs of consecutive sides are congruent.
b.
To find: The statement opposite sides of a kite KITEare parallel is true.
b.
Answer to Problem 2PSA
The statement opposite sides are parallel is false.
Explanation of Solution
Given information:
A KITE with sides KI, IT, TE and KE.
Diagonals of kite KITEare KT and IE.
A kite has got two pairs of sides next to each other that have equal length but none of the sides are parallel.
c.
To find:The statement diagonals KTand IE of a kite KITE bisect the
c.
Answer to Problem 2PSA
The statement diagonals KT and IEbisect the angles is true.
Explanation of Solution
Given information:
A KITE with sides KI, IT, TE and KE.
Diagonals of kite KITEare KT and IE.
If a quadrilateral is kite, it has one diagonal that bisects a pair of opposite angles.
d.
To find:The statement diagonals KT and IE of a kite KITEbisect each other is true.
d.
Answer to Problem 2PSA
The statement diagonals KTand IE bisect each other is true.
Explanation of Solution
Given information:
A KITE with sides KI, IT, TE and KE.
Diagonals of kite KITEare KT and IE.
If a quadrilateral is kite, it has one diagonal that bisects the other diagonal.
Diagonals KT and IE bisect each other at point S.
e.
To find:The statement diagonals KT and IE of a kite KITEare congruent is true.
e.
Answer to Problem 2PSA
The statement diagonals KT and IEare congruent is false.
Explanation of Solution
Given information:
A KITE with sides KI, IT, TE and KE.
Diagonals of kite KITEare KT and IE.
The consecutive sides are congruent but the diagonals are not congruent.
Diagonals KT and IEare not congruent.
f.
To find:The statement diagonals KT and IE of a kite KITE are perpendicular is true.
f.
Answer to Problem 2PSA
The statement diagonals KT and IE are perpendicular is true.
Explanation of Solution
Given information:
A KITE with sides KI, IT, TE and KE.
Diagonals of kite KITEare KT and IE.
The intersection of the diagonals of a kite form right angles. This means that they are perpendicular. The longer diagonal of a kite bisects the shorter one. This means that the longer diagonal cuts the shorter one in half.
Chapter 5 Solutions
Geometry For Enjoyment And Challenge
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