Answer:
<h2>Square.</h2>
Step-by-step explanation:
The parallelogram that has those characteristics is the square.
The square is perfectly symmetric, both diagonals are congruent, because all sides of the square are congruent. Also, the diagonals bisects each angle of the square, creating triangles. Those triangles have 45° angles at their base and the third-angle is 90°, that is, it's a right triangle, where that right angle is between diagonals.
Therefore, a square has congruent and perpendicular diagonals, they have the same midpoint, and their slopes are opposite reciprocals of each other because that's the definition of perpendicularity.
Therefore, the right answer is square.
<h3>
Answer: 32.5 units (choice C)</h3>
This value is approximate.
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Explanation:
To find the perimeter, we simply add up the lengths of the three external sides.
The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.
Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.
I'll go with the distance formula.
Let's find the distance from C to D, aka the length of side CD

Side CD is roughly 9.2195 units long.
Repeat this idea to find the length of CE

Side CE is roughly 7.2801 units long
The perimeter of triangle CDE is approximately...
P = DE+CD+CE
P = 16 + 9.2195 + 7.2801
P = 32.4996
This then rounds to 32.5 units. The answer is choice C.
Answer: This is easier than you thought. 3.2 is equivalent to 3.20 so the spaces between would be 3.21, 3.22, 3.23 etc. the blue dot is 3.21
Step-by-step explanation: