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Didactalia: material educativo > 12-14 ans

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Proportional Segments

"When a line is drawn parallel to one side in a triangle, two similar triangles are formed because corresponding angles yield the AA similarity shortcut. Because the triangles are similar, the segment ...

Corresponding Parts of Triangles

"If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of the angle bisectors, altitudes, and medians of the two triangles. To find a missing angle bisector, altitu ...

Corresponding Angles

"Corresponding angles can apply to either two polygons or parallel lines cut by a transversal. In both cases, corresponding angles are in the same position. If the two polygons are congruent, then the ...

Prism Volume

Hipervinculo Matemáticas

Prism Volume

"We can calculate the volume of any prism simply by knowing the height of the prism and the area of one of its bases. When calculating prism volume, this volume formula can be applied to both right an ...

Constructing Parallel Lines

"Constructing parallel lines with a compass and straightedge uses the converse of the parallel lines theorem. Creating congruent corresponding angles (or congruent AIA or AEA) guarantees parallel lin ...

Constructing an Angle

"When constructing an angle, first swing an arc from the vertex of your angle. Then, swing a congruent arc from the new vertex. Return to the original angle; the drawn arc intersected the sides of the ...

Constructing a Perpendicular

"The shortest distance between a point not on a line and a line is along the perpendicular to the line. Constructing a perpendicular to a line uses the same process as constructing the perpendicular b ...

Constructing a Median

"A median is a line segment from the vertex to the midpoint of the opposite side in a triangle. In every type of triangle, the median will be contained within the polygon, unlike altitudes which can l ...

Constructing a Line Segment

"When constructing a line segment, we use a compass and straightedge to first draw a ray or line and then a point that will serve as an endpoint of the new segment. Next, we measure the given segment ...

Postulate

Hipervinculo Matemáticas

Postulate

"Three words that are used seemingly interchangeably in Geometry are postulate, axiom, and conjecture. It is important, however, to know how each word is different and to know the subtle implications ...

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