And today we are continuing on in our quest to master and apply triangle congruence shortcuts. Homework #5, p 231:19, due next time we meet, is a humdinger. Read the complete blog post for suggestions on how to proceed.
We finished writing up C2427 (see attachment on a previous post). We used homework 4 check to come to better understanding of what it means for congruence of two triangles to not be determined (not enough info, a "bad" shortcut, or parts that do not match). We also learned how important it is to look for parallel lines, which then give us congruent alternate interior angles.
We practiced applying our skills in class with a 6problem worksheet, attached below with answers.
Then we did a fillintheblank proof of the perpendicular bisector theorem. The copy from the board with answers in attached below.
Then we practiced the problem at the top of p 230 in the format that we should be using on HW #5. The example is attached below, along with the homework and instructions.
Hints for success on the homework:
look at each problem and figure it out in your head: look for some given congruent parts and at least one other part that is also congruent (like a shared side or angle, vertical angles, etc.); so what two triangles are congruent and by which shortcut; so is the question asked about corresponding congruent parts of these two triangles?
Now record in a twocolumn proof what your brain just figured out looking at the sketch. Copy the sketch. Mark the sketch, Write the Given and Show based on the information in the problem. It could be helpful to sketch and highlight the two different triangles in different colors. Or Separate the triangles into separate sketches and mark carefully. Hints on this at the bottom of p 230. Use the blue H's to look for helpful hints in the back of the book. (On problems 4 and 7 you need to add a segment to the sketch.) Each problem should have 5 or 6 steps in a two column proof: at least 3 for the 3 congruent parts, then a triangle congruence statement, then the corresponding parts are congruent.
Three of the problems are Cannot Be Determined. If you figure this out, you don't have to show work on those problems.
It will not help to google this assignment. No one else does it quite like we do.
We finished writing up C2427 (see attachment on a previous post). We used homework 4 check to come to better understanding of what it means for congruence of two triangles to not be determined (not enough info, a "bad" shortcut, or parts that do not match). We also learned how important it is to look for parallel lines, which then give us congruent alternate interior angles.
We practiced applying our skills in class with a 6problem worksheet, attached below with answers.
Then we did a fillintheblank proof of the perpendicular bisector theorem. The copy from the board with answers in attached below.
Then we practiced the problem at the top of p 230 in the format that we should be using on HW #5. The example is attached below, along with the homework and instructions.
Hints for success on the homework:
look at each problem and figure it out in your head: look for some given congruent parts and at least one other part that is also congruent (like a shared side or angle, vertical angles, etc.); so what two triangles are congruent and by which shortcut; so is the question asked about corresponding congruent parts of these two triangles?
Now record in a twocolumn proof what your brain just figured out looking at the sketch. Copy the sketch. Mark the sketch, Write the Given and Show based on the information in the problem. It could be helpful to sketch and highlight the two different triangles in different colors. Or Separate the triangles into separate sketches and mark carefully. Hints on this at the bottom of p 230. Use the blue H's to look for helpful hints in the back of the book. (On problems 4 and 7 you need to add a segment to the sketch.) Each problem should have 5 or 6 steps in a two column proof: at least 3 for the 3 congruent parts, then a triangle congruence statement, then the corresponding parts are congruent.
Three of the problems are Cannot Be Determined. If you figure this out, you don't have to show work on those problems.
It will not help to google this assignment. No one else does it quite like we do.



