Question

Determine if triangle XYZ with coordinates X (1, 1), Y (5, 6), and Z (6, 2) is a right triangle. Use evidence to support your claim. If it is not a right triangle, what changes can be made to make it a right triangle? Be specific.

Answer 1

Determine if triangle XYZ with coordinates X (1, 1), Y (5, 6), and Z (6, 2) is a right triangle. Use evidence to support your claim. If it is not a right triangle, what changes can be made to make it a right triangle? Be specific.




Question 2
Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that perpendicular lines have opposite and reciprocal slopes. You must show all of your work to receive credit.

Triangles ABC and DEF are shown. A is at 4, 2. B is at 4, 5. C is at 1, 2. D is at 2, negative 4. E is at 5, negative 4. F is at 2, negative 1. Line BC and line EF intersect at point 0, 1.




Question 3
A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 3:1 ratio. Find Q. You must show all work to receive credit.




Question 4
A retention pond is located close to a sidewalk where small children play. The city plans to fence it in to keep children from accessing the water. What is the perimeter of a triangular-shaped fence the city can place around the retention pond, using integer coordinates (no decimals) on the grid? You must show all work to receive credit.

an image of a retention pond is shown lying inside the coordinate graph and covering area in quadrants 2 and 3.




Question 5
Describe a method you can use to find the area of the following shape. Provide specific details in your answer, including coordinates and descriptions of shapes used. Then, find the actual area of the figure.

Figure ABCDEF is shown. A is located at 5, 6. B is located at 11, 3. C is located at 11, negative 3. D is located at 4, negative 3. E is located at 5, 3. F is located at 1, 3.

Answer 2

@amistre64 @nikato @phi @nincompoop @nelsonjedi

Answer 3

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