Details for problem "Add missing line segment name for intercept theorem"
Suitable for K-12 grades: Grade 7 Grade 8 Grade 9
Junior High School, Middle School, High School.
In a statement of the intercept theorems the missing line segment name has to be inserted.
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 One of the line's name has been replaced by a question mark ?.
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
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Customization options for this problem
Number of problems
1, 2, 3, 4
Size of drawing
small, medium, large
Z,A,A',B,B', Pairs with ', All different
First, second, third, First, Second, Third, First & second, First & third, Second & third
Type of drawing
V or X, V, X
Multiple choice style
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.
Deutsche Version dieser Aufgabe