How to find a triangle on a coordinate plane - ISEE Lower Level Quantitative Reasoning

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Question

Vt_custom_xy_xytriangle_1

Find the area of the above triangle--given that it has a base of and a height of .

Answer

To find the area of the right triangle apply the formula:

Thus, the solution is:

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Question

Vt_custom_xy_xytriangle_1

Given that this triangle has a base of and a height of , what is the length of the longest side?

Answer

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where and are equal to and , respectively. And, the hypotenuse.

Thus, the solution is:




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Question

Vt_custom_xy_xytriangle2

The above triangle has a base of and a height of . Find the area.

Answer

To find the area of this right triangle apply the formula:

Thus, the solution is:

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Question

Vt_custom_xy_xytriangle2

The above triangle has a base of and a height of . Find the length longest side (the hypotenuse).

Answer

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where and are equal to and , respectively. And, the hypotenuse.

Thus, the solution is:




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Question

Vt_custom_xy_xytriangle3

The triangle shown above has a base of and height of . Find the area of the triangle.

Answer

To find the area of this triangle apply the formula:

Thus, the solution is:

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Question

Vt_custom_xy_xytriangle3

The triangle shown above has a base of and height of . Find the length of the longest side of the triangle (the hypotenuse).

Answer

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where and are equal to and , respectively. And, the hypotenuse.

Thus, the solution is:




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Question

Vt_custom_xy_xytriangle3

At which of the following coordinate points does this triangle intersect with the -axis?

Answer

This triangle only intersects with the vertical -axis at one coordinate point: . Keep in mind that the represents the value of the coordinate and represents the value of the coordinate point.

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Question

Vt_custom_xy_xytriangle3

The triangle shown above has a base of and height of . Find the perimeter of the triangle.

Answer

The perimeter of this triangle can be found using the formula:

Thus, the solution is:



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Question

Vt_custom_xy_xytriangle_4

The above triangle has a height of and a base with length . Find the area of the triangle.

Answer

In order to find the area of this triangle apply the formula:

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Question

Vt_custom_xy_xytriangle_4

The above triangle has a height of and a base with length . Find the hypotenuse (the longest side).

Answer

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where and are equal to and , respectively. And, the hypotenuse.

Thus, the solution is:




Compare your answer with the correct one above

Question

Vt_custom_xy_xytriangle_4

The above triangle has a height of and a base with length . Find the perimeter of the triangle.

Answer

The perimeter of this triangle can be found using the formula:

Thus, the solution is:




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Question

Vt_custom_xy_xytriangle_5

The triangle shown above has a base of length and a height of . Find the area of the triangle.

Answer

To find the area of this triangle apply the formula:

Thus, the solution is:

Compare your answer with the correct one above

Question

Vt_custom_xy_xytriangle_4

The above triangle has a height of and a base with length . Find the hypotenuse (the longest side).

Answer

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where and are equal to and , respectively. And, the hypotenuse.

Thus, the solution is:




Compare your answer with the correct one above

Question

Which of the following sets of points would form a triangle if plotted on a coordinate plane?

Answer

A triangle consist of three points. The correct answer is the only set that contains three points.

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Question

A coordinate plane is shown.

Blank_grid

Ralph plotted the following points on the coordinate grid:

Point X (7, 0); Point Y (7, 5); Point Z (0, 5)

A polygon is formed with vertices X, Y, and Z. Which type of polygon is formed?

Answer

Start by graphing and connecting the vertices.

Screenshot_2015-03-24_at_5.31.16_pm

The created figure has 3 sides and 3 angles. The only answer choice that has these characteristics is the triangle.

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Question

A coordinate plane is shown.

Blank_grid

Ralph plotted the following points on the coordinate grid:

Point X (8, 8); Point Y (1, 4); Point Z (6, 5)

A polygon is formed with vertices X, Y, and Z. Which type of polygon is formed?

Answer

Start by plotting and connecting the ordered pairs.

Screenshot_2015-03-24_at_5.35.48_pm

The created figure has 3 sides and 3 angles. The only answer choice that has these characteristics is the triangle.

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Question

Vt_custom_xy_xytriangle_1

Find the area of the above triangle--given that it has a base of and a height of .

Answer

To find the area of the right triangle apply the formula:

Thus, the solution is:

Compare your answer with the correct one above

Question

Vt_custom_xy_xytriangle_1

Given that this triangle has a base of and a height of , what is the length of the longest side?

Answer

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where and are equal to and , respectively. And, the hypotenuse.

Thus, the solution is:




Compare your answer with the correct one above

Question

Vt_custom_xy_xytriangle2

The above triangle has a base of and a height of . Find the area.

Answer

To find the area of this right triangle apply the formula:

Thus, the solution is:

Compare your answer with the correct one above

Question

Vt_custom_xy_xytriangle2

The above triangle has a base of and a height of . Find the length longest side (the hypotenuse).

Answer

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where and are equal to and , respectively. And, the hypotenuse.

Thus, the solution is:




Compare your answer with the correct one above

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