Custom math worksheets at your fingertips
dw-Math logo

Details for problem "Intercept theorem statements right or wrong"

Quickname: 3140

Suitable for K-12 grades: Grade 7 Grade 8 Grade 9

Junior High School, Middle School, High School.


Correct statements on the intercept theorems must be identified and marked.


Correct statements on the intercept theorems must be identified and marked. (Example for this math problem) Correct statements on the intercept theorems must be identified and marked. (Example for this math problem)


A labeled drawing to illustrate the intercept theorems is shown. For this purpose a number of statements are presented with respect to the ratios of side lengths to each other, which represent applications of the intercept theorems.


     | ZA | / | ZA' | = | ZB | / | ZB' |
     | BB' | / | ZA | = | AB'| / | AA' |

Some of the statements are correct and therefore statements of the intercept theorems, other statements are wrong. The correct statements have to be marked accordingly. Wrong statements are not only not of the queried type of theorem but are generally wrong. The number of presented statements is adjustable. If desired, an indication of the number of correct statements can be given.

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.

Topics: Geometry Puzzles

Tags: Angle Division Rules

Free worksheets and solution sheets with answers for download

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.

With a free initial credit, you can start creating your own math worksheets in a few minutes.

You can try it for free! Register here, to create custom worksheets now!

Customization options for this problem

Possible values
Number of problems
1, 2, 3, 4
Size of drawing
small, medium, large
Point names
Z,A,A',B,B', Pairs with ', All different
Theorems covered
First, second, third, First, Second, Third, First & second, First & third, Second & third
Type of drawing
V or X, V, X
Type of question
Open question, Multiple true statements, One true statement
Number of answers
2, 3, 4

Similar problems

Name and direct link
Completion of a ratio equation, i.e. a rule of the intercept theorem.
In a statement of the intercept theorems the missing line segment name has to be inserted.
Application of the intercept theorems
In application of the intercept theorem the fourth line segment length is to be calculated from three given lengths.

Creative Commons License
You may pass on the worksheets offered for download on this page to others, but not modify or sell them.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Deutsche Version dieser Aufgabe
These informational pages with samples describe math problems that can be combined on custom math worksheets with solutions for home and K-12 school use.
Please visit the dw math main page for more information!
Privacy policy and imprint
Deutsche Seiten