Given:
A figure of a quadrilateral.
To find:
The measures of angle 1 and angle 2.
Solution:
The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.
We know that the diagonals of a kit are perpendicular to each other at the point of intersection.
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
Therefore, the correct option is C.
General Idea:
To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.
Applying the concept:
33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38
Listing the data in ascending order we get
31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38
We need to plot <u>three </u>circles above 31, <u>one</u> circle above 32, <u>two</u> circles above 33, <u>one</u> above 35, <u>two </u>above 36, <u>three </u>above 37, and <u>three</u> above 38.
Conclusion:
Out of the four options, the <u>correct option is B </u>because that is the only dot plot representing the given set of data.
