And on we go with similarity!
MUST OWN (key to the whole unit): similar polygons are polygons with corresponding congruent angles and corresponding proportional sides (have the same ratio).
Today we continue to practice applying the definition to determine if figures are similar and to find missing sides or angles. We also discovered, learned about, and applied the Triangle Similarity Shortcuts AA, SAS, and SSS. These are mentioned in attached notes below. We have not written up the conjectures yet.
Be sure to turn in your self-evaluation if you have not yet.
A grade was taken for 4 pts over HW #1. And the grades begin!
There will be a quiz on Tues-Wed, January 15-16 for about 20-24 pts over basics of similarity, shortcuts, proportions, and dilation. More info next block.
The test is still scheduled for January 22-23, 75 pts.
We re-did homework problem #17 in depth to understand what it was going for and then did an investigation of AA Similarity Shortcut. We went over HW and then used a Geogebra Demonstration to show that SAS shortcut works (two pairs of corresponding proportional sides in a triangle, with the angle between them congruent). Ms. Bogart then demonstrated on the screen with colored sticks of 10,12,14, 5,6, and 7 cm that the 10,12,14 triangle is similar to the 5,6,7: sufficient to understand the SSS Similarity shortcut for triangles (3 pairs of proportional sides means they are similar). We then practiced this skill with a KUTA worksheet (link below).
HW #2 - p 384-5:1-16, omit 10-11.
MUST OWN (key to the whole unit): similar polygons are polygons with corresponding congruent angles and corresponding proportional sides (have the same ratio).
Today we continue to practice applying the definition to determine if figures are similar and to find missing sides or angles. We also discovered, learned about, and applied the Triangle Similarity Shortcuts AA, SAS, and SSS. These are mentioned in attached notes below. We have not written up the conjectures yet.
Be sure to turn in your self-evaluation if you have not yet.
A grade was taken for 4 pts over HW #1. And the grades begin!
There will be a quiz on Tues-Wed, January 15-16 for about 20-24 pts over basics of similarity, shortcuts, proportions, and dilation. More info next block.
The test is still scheduled for January 22-23, 75 pts.
We re-did homework problem #17 in depth to understand what it was going for and then did an investigation of AA Similarity Shortcut. We went over HW and then used a Geogebra Demonstration to show that SAS shortcut works (two pairs of corresponding proportional sides in a triangle, with the angle between them congruent). Ms. Bogart then demonstrated on the screen with colored sticks of 10,12,14, 5,6, and 7 cm that the 10,12,14 triangle is similar to the 5,6,7: sufficient to understand the SSS Similarity shortcut for triangles (3 pairs of proportional sides means they are similar). We then practiced this skill with a KUTA worksheet (link below).
HW #2 - p 384-5:1-16, omit 10-11.
aa_similarity_investigation.docx |
triangle_similarity_shortcut_notes.pdf |