Joaquin drew the triangle below.
On a coordinate plane, triangle K L J has points (3, 6), (4, 0) and (negative 5, 0).
Which statement must be true about a figure that is congruent to Joaquin’s triangle?
It has two angles on the x-axis.
It has a side that is 9 units long.
It has a side that lies on the x-axis.
It has an obtuse angle.
Answers
Answer:
Option A: It has two angles on the x - axis
Option B: It has a side that is 9 units long.
Option C: It has a side that lies on the x - axis
Explanation:
Option A: Joaquin drew the triangle.
We need to determine that the two angles of the triangle on the x -axis are congruent to Joaquin's triangle.
From the figure, it is obvious that the angles J and L are on the x -axis.
Hence, the triangle has two angles on the x - axis which is congruent to Joaquin's triangle.
Therefore, Option A is correct answer.
Option B: We need to find that the triangle has a side that is 9 units long.
From the figure, we can see that the coordinates of J and L are and
Substituting these coordinates in the distance formula, we have,
Thus, the length of JL is 9 units.
Hence, the triangle has a side of units long.
Therefore, Option B is the correct answer.
Option C: We need to find that side of a triangle that lies on the x - axis.
From the figure, it is obvious that the side JL lies on the x - axis.
Hence, the triangle has a side that lies on the x - axis.
Therefore, Option C is the correct answer.
Option D: We need to find that it has an obtuse angle.
From the figure, we can see that the angles are acute angles.
Hence, the triangle does not have an obtuse angle.
Therefore, Option D is not the correct answer.
Answer:
the answer is a
Step-by-step explanation:
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