Custom math worksheets at your fingertips
dw-Math logo

Details for problem "Add missing line name for intercept theorem"

Quickname: 2896

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

Junior High School, Middle School, High School.

Summary

In a statement of the intercept theorems the missing line segment name has to be inserted.

Example

In a statement of the intercept theorems the missing line segment name has to be inserted. (Beispiel für die Lösung)

Description

A labeled drawing to illustrate the intercept theorems is shown. For this purpose, an equation is presented with respect to the ratios of side segment lengths to each other, which represents the application of a set of rays. One of the line's name has been replaced by a ?

The task is to identify the name of the fourth line, which is in the equation where the question mark is. If desired, a selection of line segments can be presented as possible answers; one of them is correct, the others lead to false statements.

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

fixed to Z for the intersection of the lines, A and A' for the points on one line and B and B' for the points on the other line.

random for the intersection, and random pairs of X and X' for both lines.

completely random, each point is labeled individually.

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

Parameter
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
Multiple choice style
Yes, No

Similar problems

Remark
Description
Name and direct link
Concrete application of the intercept theorems
In application of the intercept theorem the fourth line segment length is to be calculated from three given lengths.
Determine whether a ratio equation, i.e. intercept theorem-like statement is correct.
Correct statements on the intercept theorems must be identified and marked.


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
Cookie settings
Deutsche Seiten
×

Use of cookies

Cookies are small data snippets that we store on your computer to recognize you when you use our website.

There are cookies that we need for technical reasons to make the website usable for you. You cannot deactivate these, because otherwise our website would not work.

Technically necessary cookies

Cookies for tracking activity and displaying personalized ads

Our partners collect data and use cookies to personalise displayed ads and to track your activity in the internet. If you want to allow this, please select "Accept" and choose "Confirm selection" or simply "Accept all cookies". Thank you very much!

More information