GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #391 : Geometry And Graphs

If the rectangle has a width of 5 and a length of 10, what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Write the area for a rectangle.

Substitute the given dimensions.

The answer is:  

Example Question #2 : Angles And Quadrilaterals

In the figure below, find the measure of the largest angle.

3

Possible Answers:

Correct answer:

Explanation:

Recall that in a quadrilateral, the interior angles must add up to .

Thus, we can solve for :

Now, to find the largest angle, plug in the value of  into each expression for each angle.

The largest angle is .

Example Question #1 : Perimeter And Sides

Octagon

Identify the above polygon.

Possible Answers:

Octagon

Quadrilateral

Hexagon

Pentagon

Correct answer:

Octagon

Explanation:

A polygon with eight sides is called an octagon.

Example Question #392 : Geometry And Graphs

Thingy

Refer to the above figure. 

Which of the following is not a valid alternative name for Polygon ?

Possible Answers:

Polygon 

Polygon 

Polygon 

Polygon 

Correct answer:

Polygon 

Explanation:

In naming a polygon, the vertices must be written in the order in which they are positioned, going either clockwise or counterclockwise. Of the four choices, only Polygon  violates this convention, since  and  are not adjacent vertices (nor are  and ).

Example Question #393 : Geometry And Graphs

Thingy

Refer to the above figure. All angles shown are right angles.

What is the perimeter of the figure?

Possible Answers:

Correct answer:

Explanation:

The figure can be viewed as the composite of rectangles. As such, we can take advantage of the fact that opposite sides of a rectangle have the same length, as follows:

Thingy

Now that the missing sidelengths are known, we can add the sidelengths to find the perimeter:

Example Question #394 : 2 Dimensional Geometry

Thingy

Refer to the above figure.

Which of the following segments is a diagonal of Pentagon  ?

Possible Answers:

Correct answer:

Explanation:

A diagonal of a polygon is a segment whose endpoints are nonconsecutive vertices of the polygon. Of the four choices, only  fits this description.

Example Question #3 : Other Shapes

Octagon

Classify the above polygon.

Possible Answers:

Octagon

Hexagon

Pentagon

Rhombus

Correct answer:

Octagon

Explanation:

A polygon with eight sides is called an octagon.

Example Question #395 : 2 Dimensional Geometry

Hexagon

Classify the above polygon.

Possible Answers:

Trapezoid

Pentagon

Hexagon

Octagon

Correct answer:

Hexagon

Explanation:

A polygon with six sides is called a hexagon.

Example Question #394 : Geometry And Graphs

Hexagon  is regular. If diagonals  and  are constructed, which of the following classifications applies to Quadrilateral ?

I) Rectangle

II) Rhombus

III) Square

IV) Trapezoid

Possible Answers:

IV only

I, II, and III only

II only

I only

Correct answer:

I only

Explanation:

The figure described is below. 

Hexagon

Since the hexagon is regular, its sides are congruent, and its angles each have measure .

 

Also, each of the triangles are isosceles, and their acute angles measure  each. This means that each of the four angles of Quadrilateral  measures , so Quadrilateral  is a rectangle. However, not all sides are congruent, so it is not a rhombus. Also, since it is a rectangle, it cannot be a trapezoid.

The correct response is I only.

Example Question #395 : Geometry And Graphs

Octagon

The above figure is a regular octagon. Give its perimeter in yards.

Possible Answers:

Correct answer:

Explanation:

A regular octagon has eight sides of equal length, so multiply the length of one side by eight:

 feet.

Divide by three to get the equivalent in yards:

 yards.

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