Today our class time was devoted to the Dilation Discovery Activity attached below (for the most part). Students should by now have seen their Triangle Unit Test and have taken their make-up test if missed. Tests will be posted by Thursday afternoon, along with all homework not yet posted.
The purpose of the activity was to learn more about the properties and the look of dilations based on where the center of dilation is (are the corresponding sides parallel or collinear? Why? Where is the center of dilation and how do you locate it? What do you notice about the ratio of the distances from the center of the dilation to corresponding points? etc.).
Also, we were noticing that there are shortcuts for triangle similarity just like there are shortcuts for triangle congruence.
C-93-95 on pp 572-4 are AA, SSS, and SAS shortcuts. Remember that the S stands for proportional sides, not congruent sides. But the A still stands for congruent angles. Get these written up before returning to class.
The first blank on C-95 is and "the included angles are congruent".
Answers are available for HW #8 below. More questions can be asked on next block.
HW #9: p 570:18-21, p 574-5:1-7,9-10.
If you are finding a missing side, then you MUST write a proportion with a variable in it for the unknown side.
The purpose of the activity was to learn more about the properties and the look of dilations based on where the center of dilation is (are the corresponding sides parallel or collinear? Why? Where is the center of dilation and how do you locate it? What do you notice about the ratio of the distances from the center of the dilation to corresponding points? etc.).
Also, we were noticing that there are shortcuts for triangle similarity just like there are shortcuts for triangle congruence.
C-93-95 on pp 572-4 are AA, SSS, and SAS shortcuts. Remember that the S stands for proportional sides, not congruent sides. But the A still stands for congruent angles. Get these written up before returning to class.
The first blank on C-95 is and "the included angles are congruent".
Answers are available for HW #8 below. More questions can be asked on next block.
HW #9: p 570:18-21, p 574-5:1-7,9-10.
If you are finding a missing side, then you MUST write a proportion with a variable in it for the unknown side.
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