Custom math worksheets at your fingertips
Quickname: 8979
Suitable for K-12 grades: Grade 7 Grade 8 Grade 9
Junior High School, Middle School, High School.
In application of the intercept theorem the fourth line segment length is to be calculated from three given lengths.
A labeled drawing to illustrate the intercept theorems is shown. On the figure three lines are labeled with their length. The inscription does not correspond to the actual length. Therefore no lengths are to be determined by measurement. However, the relations of the line segments to each other are correct.
The task is to calculate the length of the fourth line segment, which is labeled with the letter "x".
One of the intercept theorems is to be used for this. If desired, a reference to the intercept theorems can also be included in the problem definition.
To do so the following three steps are necessary
These steps are shown in the solution. The problem can be set so that these steps are also given in the assignment.
Examples:
| ZA | / | ZA' | = | ZB | / | ZB' |
x / 5 = 7 / 14
x = 7 * 5 / 14
x = 2.5
Which theorems are tested is configurable. The figure is presented according to the queried ray-set: For the first and second theorem the figure has two straight lines or rays, for the third theorem three. The figure can be drawn in V-shape, X-shape, or in a random selection of both variants.
The inscription of the points can be optionally
The size of the drawing can be selected in several steps. The number of problems can also be configured.
Download free printable worksheets for this math problem here. The worksheet contains the problems only, the solution sheet includes the answers. Just click on the respective link.
If you can not see the solution sheets for download, they may be filtered out by an ad blocker that you may have installed. If this is the case, please allow ads for this page and reload the page. The solution sheets will then reappear.
