SSS Similarity Theorem 6.2- if two corresponding side lenghts of two triangles are proportinal, then the triangles are a like.
example- shown above
Test question 1) This theorem states that if the sides of two triangles are in proportion, then the triangles are similar.
Example of how to use SAS Similarity Theorem in a proof to prove triangles similar (use the 'example proof' for this
Given: AB = 4; AC = 2; CB= 6; DE = 2; DF = 1; FE = 3
Draw picture like one shown below.
Try to solve this on your own first, then check your answer with the proof shown below.
Test question 1) This theorem states that if the sides of two triangles are in proportion, then the triangles are similar.
Example of how to use SAS Similarity Theorem in a proof to prove triangles similar (use the 'example proof' for this
Given: AB = 4; AC = 2; CB= 6; DE = 2; DF = 1; FE = 3
Draw picture like one shown below.
Try to solve this on your own first, then check your answer with the proof shown below.
test question 2) Two geometric figures are similar if one is a scaled version of the other. As a consequence, their angles will be the same. This includes triangles, and the scaling factor can be thought of as a ratio of side-lengths.
For example, triangle DEF is a scaled version of triangle ABC with a scaling factor of 1.5 (or 3/2), and we can write .
For example, triangle DEF is a scaled version of triangle ABC with a scaling factor of 1.5 (or 3/2), and we can write .
Notice that DE = 1.5AB, EF = 1.5BC, and DF = 1.5AC. If we form ratios of corresponding sides, we have:
That is, the ratios of corresponding sides all reduce to the same fraction. We could form the reciprocals of the ratios, and they too will be the same:
That is, the ratios of corresponding sides all reduce to the same fraction. We could form the reciprocals of the ratios, and they too will be the same: