Proving Triangles Similar by AA , SAS, & SSS Section 8.2 & 8.3

On my website click on Chapter 8 Explorations: Similarity Links: On my website click on Chapter 8 Explorations: A Similarity - https://tube.geogebra.org/m/2570257 AA Similarity - https://tube.geogebra.org/m/2570295 AAA Similarity - https://tube.geogebra.org/m/2570351 AAS Similarity - https://tube.geogebra.org/m/2570397 ASA Similarity - https://tube.geogebra.org/m/2570425 S Similarity - https://tube.geogebra.org/m/2570451 SA Similarity - https://tube.geogebra.org/m/2570477 SAS Similarity - https://tube.geogebra.org/m/2570675 SS Similarity - https://tube.geogebra.org/m/2570709 SSA Similarity - https://tube.geogebra.org/m/2570757 SSS Similarity - https://tube.geogebra.org/m/2570831 Given: A (Angle) S (Proportional side length) Can you create triangles that are NOT similar? Yes or No A YES AA NO AAA AAS ASA S SA SAS SS SSA SSS Two polygons are considered similar if a) Corresponding sides are proportional b) Corresponding angles are congruent. Student journal Page 228: Copy this table and answer based on your exploration.

Target 8C I CAN Prove that two triangles are similar by Angle-Angle Similarity, Side-Angle-Side Similarity, & Side-Side-Side Similarity.

Think about it: Are all isosceles triangles similar? By using the AA similarity exploration, all isosceles triangles are not always similar. Some angles are obtuse and some are acute.

Think about it: Are all equilateral triangles similar? By using the AA similarity exploration, all equilateral triangles are always similar. All the angles are 60o.

Why? How do you know that this works? Student Journal Page 228 Why? How do you know that this works? If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Student Journal Page 229

Student Journal Page 229

Why? How do you know that this works? Student Journal Page 233 Why? How do you know that this works? If the corresponding side lengths of two triangles are proportional, then the triangles are similar.

Why? How do you know that this works? Student Journal Page 234 Why? How do you know that this works? If two sides and an included angle of one triangle are congruent to two sides and an included angle of another triangle, then the two triangles are similar

Student Journal Page 234 1) Write the side lengths of the triangles in order from least to greatest. 2.5, 5, 6

Student Journal Page 235 Can you think of another method to use? Try and use RT and HK instead …

Student Journal Page 235

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