4. How many triangles are there with vertices from the points shown below? Note, we are not allowing degenerate triangles - ones with all three vertices on the same line, but we do allow non-right triangles. Explain why your answer is correct. Hint 5. How many quadrilaterals can you draw using the dots below as vertices (corners)? Solution 6. How many of the quadrilaterals possible in the previous problem are: a. Squares? b. Rectangles? c. Parallelograms? d. Trapezoids? 2 e. Trapezoids that are not parallelograms?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.5: Convex Polygons
Problem 41E
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Question
Probability. How to answer these, with solution
4. How many triangles are there with vertices from the points shown below?
Note, we are not allowing degenerate triangles - ones with all three vertices on
the same line, but we do allow non-right triangles. Explain why your answer is
correct.
Hint
5. How many quadrilaterals can you draw using the dots below as vertices
(corners)?
Solution
...
6. How many of the quadrilaterals possible in the previous problem are:
a. Squares?
b. Rectangles?
c. Parallelograms?
d. Trapezoids? 2
e. Trapezoids that are not parallelograms?
Transcribed Image Text:4. How many triangles are there with vertices from the points shown below? Note, we are not allowing degenerate triangles - ones with all three vertices on the same line, but we do allow non-right triangles. Explain why your answer is correct. Hint 5. How many quadrilaterals can you draw using the dots below as vertices (corners)? Solution ... 6. How many of the quadrilaterals possible in the previous problem are: a. Squares? b. Rectangles? c. Parallelograms? d. Trapezoids? 2 e. Trapezoids that are not parallelograms?
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