ACT Math : Plane Geometry
Study concepts, example questions & explanations for ACT Math
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Example Questions
Example Question #7 : How To Find The Length Of The Diagonal Of A Kite
A kite has two perpendicular interior diagonals. One diagonal has a measurement of 
You must find the length of the missing diagonal before you can find the sum of the two perpendicular diagonals.
To find the missing diagonal, apply the area formula:
This question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.
Therefore, the sum of the two diagonals is:
Example Question #11 : How To Find The Length Of The Diagonal Of A Kite
A kite has two perpendicular interior diagonals. One diagonal has a measurement of 
First find the length of the missing diagonal before you can find the sum of the two perpendicular diagonals.
To find the missing diagonal, apply the area formula:
This question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.
Therefore, the sum of the two diagonals is:
Example Question #21 : Kites
A kite has two perpendicular interior diagonals. One diagonal has a measurement of 
This problem can be solved by applying the area formula:
Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.
Thus the solution is:
Example Question #21 : Kites
The long diagonal of a kite measures 
The long diagonal of a kite always bisects the short diagonal. Therefore, if one side of the bisected diagonal is 
Example Question #1 : How To Find The Length Of The Side Of A Kite
A kite has two adjacent sides both with a measurement of 
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.
The solution is:
Example Question #2 : How To Find The Length Of The Side Of A Kite
A kite has two adjacent sides both with a measurement of 
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.
The solution is:
Example Question #3 : How To Find The Length Of The Side Of A Kite
Using the kite shown above, find the length of side 
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.
The solution is:
Since the remaining two sides have a total length of 
Example Question #4 : How To Find The Length Of The Side Of A Kite
A kite has two adjacent sides both with a measurement of 
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.
To find the sum of the remaining two sides:
Example Question #5 : How To Find The Length Of The Side Of A Kite
The kite shown above has two adjacent sides both with a measurement of 
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. This problem also provides the perimeter measurement of the kite. Therefore, use the information that is provided to find the difference between the perimeter and the sum of the congruent adjacent sides provided in the question.
To find the sum of the remaining two sides:
Example Question #6 : How To Find The Length Of The Side Of A Kite
A kite has two adjacent sides both with a measurement of 
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.
The solution is:
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