What is similarity
Similarity is a transformation that involves dilation. Dilations will change side lengths in proportion (scale) but will preserve angle measure.
Three Rules for similarity - interactive videos
6.1: Solving for angles or sides in similar triangles
6.2: proving similarity with appropriate rules
Can you check angles and proportions in different images to prove similar triangles
Practice sheet is in the 6.1 section
Practice sheet is in the 6.1 section
6.3: Dilating and using ratios on the coordinate plane
Can you dilate points? segments? lines? Explain their properties?
Divide a segment at a given ratio? Your practice videos are below partitioning a segment |
Side splitter theorem
If two sides of a triangle are split by a line/segment parallel to it's base. The sides will always be split in proportion.
The opposite is also true. If a segment/line splits sides of a triangle proportionally. Then the segment/line is parallel.
Here we know the sides have been split by a segment parallel to the base. Therefore the sides must be in proportion.
The opposite is also true. If a segment/line splits sides of a triangle proportionally. Then the segment/line is parallel.
Here we know the sides have been split by a segment parallel to the base. Therefore the sides must be in proportion.
Dilation of a segment (station 2 Thursday 1/11)
Setting up proportions (station 3 Thursday 1/11)
Help Video for Thursday |