Question

Joaquin drew the triangle below.




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.

Answer 1

Answer:

It can be SAS (side angle side)

SORRY IF IT IS WRONG!!!!

Answer 2

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 $(-5,0)$ and $(4,0)$

Substituting these coordinates in the distance formula, we have,

$d=\sqrt{(4-(-5))^2+(0-0)^2}$

$d=\sqrt{(9)^2+0}$

$d=9$

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.

Learn more:

(1) Find the value of k for while the distance between points p(1,2) and q(-2,k) is 5 units.

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(2) The two acute angles of an obtuse angled triangle , whose obtuse angle mesurers 131 degree are in the ratio 2 : 5 find the angles

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