a Follow the instructions you are given in the book.
B
b Use a ruler to measure the given distances of kites you drew in Part A.
C
c What can you say about the diagonals of the drawn kites looking at the table you made in Part B?
A
a See solution.
B
b See solution.
C
c The longer diagonal bisects the shorter one.
Practice makes perfect
a Let's start with drawing three kites with varying lengths. Remember that kite is a quadrilateral with exactly two distinct pairs of adjacent congruent sides. Let's label these kites ABCD, PQRS and WXYZ.
Now we will draw the diagonals of each kite and label the point of intersection N for each kite.
b In this part, we will use a ruler to measure the distance from N to each vertex. We will fill the given table with these measurements. Let's start with the kite ABCD.
We will measure the rest of the distances in the same way.
Now, as we know the measures of the appropriate distances, we can complete the given table.
Figure
Distance From N to Each Vertex Along Shorter Diagonal.
Distance From N to Each Vertex Along Longer Diagonal.
ABCD
2.1
2.1
2.1
3.5
PQRS
1.4
1.4
1.4
4.2
WXYZ
1
1
1
2
c As we can see from the table we made in Part B, all distances between the point of intersection of the diagonals and vertex along the shorter diagonal are congruent. Therefore, we can assume that in kites the longer diagonal bisects the shorter one.
