Geometry Topic 5 Similarity Vocabulary Mathematically Speaking Choose
Geometry Topic 5 Similarity
Vocabulary
Mathematically Speaking! Choose 3 -4 vocabulary words for the day. Throughout the lesson, as students respond to your questions or are presenting a problem on the board, mark a tally when a vocabulary word is used accurately. This can be turned into a competition among groups or between periods. Examples of accuracy • line vs line segment • translation vs slide • midpoint vs the middle
Betweenness – given three points A, B, and C, B is between A and C if and only if all three of the points lie on the same line, and AB + BC = AC. A B C
Scale factor – in a dilation, the ratio of a linear measurement of the image to the corresponding measurement of the preimage.
Similar Figures – figures with the same shape (but not necessarily the same size) and the following properties: • Corresponding sides are proportional. That is, the ratios of the corresponding sides are equal. • Corresponding angles are equal.
Similarity transformation – a transformation that results in an image that is the same shape, but not necessarily the same size, as the original figure.
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Side-Side similarity – if the corresponding side lengths of two triangles are proportional, then the triangles are similar.
Side-Angle-Side similarity – if the lengths of two pairs of corresponding sides of two triangles are proportional and the angles the sides form are congruent, then the triangles are similar.
Angle-Angle similarity – If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
Side Splitter Theorem– If a line is parallel to a side of a triangle and intersect the other two sides, then this line divides those two sides proportionally.
- Slides: 13