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Download Similarity Day 3: Proving Triangles Similar
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Transcript
Similarity Day 3: Proving Triangles Similar OBJECTIVE: To apply AA~, SAS~, and SSS~ Triangle Shortcuts Angle-Angle Similarity (AA~): If two angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar. ∆𝑻𝑹𝑺____________ Reason: ____________ Side-Angle-Side Similarity (SAS ~): If two sides of 1 Δ are proportional to 2 sides of another Δ, and the angles between the sides are congruent, then the triangles are similar. ∆𝑻𝑹𝑺____________ Reason: ____________ Similarity Ratio: _______ Side-Side-Side Similarity (SSS ~): If ALL of the corresponding sides of two Δ’s are proportional, then the triangles are similar. ∆𝑻𝑹𝑺____________ Reason: ____________ Similarity Ratio: _______ 1) Are the triangles similar? If so, complete the following information. Similarity Statement: Reason: ∆𝐴𝑀𝑋______________________ _____________ #2,3: Are the triangles similar? If so, complete the following information. Then set up a proportion and solve for 𝒙. ***Tip for overlapping triangles: REDRAW THE 2 TRIANGLES! 2) Similarity Statement: ∆𝐴𝑋𝑌______________________ Reason: _____________ Similarity Ratio: ____________ Solve for 𝑥: 3) Similarity Statement: ∆𝐴𝐵𝐶______________________ Reason: _____________ Similarity Ratio: ____________ Solve for 𝑥: REVIEW: Why are the following angles congruent?
