All GED Math Resources
Example Questions
Example Question #391 : 2 Dimensional Geometry
If the rectangle has a width of 5 and a length of 10, what is the area of the rectangle?
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.
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
Identify the above polygon.
Octagon
Quadrilateral
Hexagon
Pentagon
Octagon
A polygon with eight sides is called an octagon.
Example Question #392 : 2 Dimensional Geometry
Refer to the above figure.
Which of the following is not a valid alternative name for Polygon ?
Polygon
Polygon
Polygon
Polygon
Polygon
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 : 2 Dimensional Geometry
Refer to the above figure. All angles shown are right angles.
What is the perimeter of the figure?
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:
Now that the missing sidelengths are known, we can add the sidelengths to find the perimeter:
Example Question #394 : 2 Dimensional Geometry
Refer to the above figure.
Which of the following segments is a diagonal of Pentagon ?
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
Classify the above polygon.
Octagon
Hexagon
Pentagon
Rhombus
Octagon
A polygon with eight sides is called an octagon.
Example Question #395 : 2 Dimensional Geometry
Classify the above polygon.
Trapezoid
Pentagon
Hexagon
Octagon
Hexagon
A polygon with six sides is called a hexagon.
Example Question #396 : 2 Dimensional Geometry
Hexagon is regular. If diagonals and are constructed, which of the following classifications applies to Quadrilateral ?
I) Rectangle
II) Rhombus
III) Square
IV) Trapezoid
II only
IV only
I only
I, II, and III only
I only
The figure described is below.
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 #397 : 2 Dimensional Geometry
The above figure is a regular octagon. Give its perimeter in yards.
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.