Today's big topic was Triangle Inequalities. By this we mean that in order for three segments to make a triangle, the sum of the lengths of the two shorter segments must be greater than the length of the longest segment.

AND In any triangle, the longest side is opposite the largest angle; the shortest side is opposite the largest angle. (All of this was figured out by in-class investigation.)

We also learned that the measure of an exterior angle of a triangle (sketch on p 215) is equal to the sum of the measures of its two remote interior angles. We justified this deductively, making C-23 into a theorem. C-23 was written up in class. In most classes we did not write up 21 & 22 because of the wording. Those will be finished at the beginning of the next class.

We went over HW #1 carefully after taking a grade for 4 pts. Questions were answered. The key to success: look at the sketch and say out loud what you are seeing. And what you know that will help you find missing information.

HW #2 is p 216:1-16. We practiced some to make sure we understood. Due Friday-Monday.

We did some review of 4.1-2 in class from a worksheet which is attached below. We will do the back side next time for a warm-up.

Quiz Friday-Monday, Oct 27-30, over 4.1-3. C-17-23. We will practice in class. The quiz is not until the end of class.

Test retakes are available for grades below 75% on the Construction Unit. Must be done by next Thursday, Nov 2. Come by during advisory to view and discuss your test. Remember that the maximum grade on a re-take is 80%.

AND In any triangle, the longest side is opposite the largest angle; the shortest side is opposite the largest angle. (All of this was figured out by in-class investigation.)

We also learned that the measure of an exterior angle of a triangle (sketch on p 215) is equal to the sum of the measures of its two remote interior angles. We justified this deductively, making C-23 into a theorem. C-23 was written up in class. In most classes we did not write up 21 & 22 because of the wording. Those will be finished at the beginning of the next class.

We went over HW #1 carefully after taking a grade for 4 pts. Questions were answered. The key to success: look at the sketch and say out loud what you are seeing. And what you know that will help you find missing information.

HW #2 is p 216:1-16. We practiced some to make sure we understood. Due Friday-Monday.

We did some review of 4.1-2 in class from a worksheet which is attached below. We will do the back side next time for a warm-up.

Quiz Friday-Monday, Oct 27-30, over 4.1-3. C-17-23. We will practice in class. The quiz is not until the end of class.

Test retakes are available for grades below 75% on the Construction Unit. Must be done by next Thursday, Nov 2. Come by during advisory to view and discuss your test. Remember that the maximum grade on a re-take is 80%.

worksheet_4.1-3.pdf |