Two vertices of a right triangle have coordinates ( 9 , 1 ) and (;6 , - 1 ) Select each ordered pair that could be the coordinates of the third vertex ( 9 , - 1 ) ( 6 , 1 ) ( 1 , - 1 ) ( 6 , 9 )

Option A: is the third vertex

Option B: is the third vertex.

Explanation:

The two vertices of the right triangle are and

The third vertex of the right triangle can be determined by plotting the points in the graph.

Option A:

By plotting the points , and the third vertex in the graph, the the hypotenuse of the triangle passes through the vertices and

The legs of the triangle passes through the vertices , and ,

Hence, the third vertex forms a right triangle.

Therefore, Option A is the correct answer.

Option B:

By plotting the points , and the third vertex in the graph, the hypotenuse of the triangle passes through the vertices and

The legs of the triangle passes through the vertices , and ,

Hence, the third vertex forms a right triangle.

Therefore, Option B is the correct answer.

Option C:

By plotting the points , and the third vertex in the graph, we can see that the three vertices does not make a right angled triangle.

Hence, the third vertex does not form a right triangle.

Therefore, Option C is not the correct answer.

Option D:

By plotting the points , and the third vertex in the graph, we can see that the three vertices does not make a right angled triangle.

Hence, the third vertex does not form a right triangle.

Therefore, Option D is not the correct answer.

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