Objective: I will lay out a city using angle relationship clues and I will review concepts to be taught on quiz.
Language: I will use the names of angle relationships to justify my reasoning.
Journal: No journal prompt today.
Homework: Complete Review Packet
Note that I had a substitute for almost all of my classes since I was out for training. Students were given the opportunity to work together on the review packet during class.
HInts for review packet.
Problem 1: To find point E, rememember that opposite sides are parallel and congruent. If you notice that you have more than one option for point E, I would suggest you place it high and to the right so the letters go in order when you go around the corners.
To find the midpoints of DG and EG use the midpoint formula.
Look at the slopes of the diagonals to see if they are perpendicular. Also check midpoints of both segments since a bisector should cut a line in half.
Problem 2: make sure you use corresponding angles.
Problem 3: Check the types of angle relationships and see which one doesn't have to be parallel.
Problem 4: Write down the angle pair relationship and see which one is NOT supplementary.
Problem 5: Graph the line and look for a point on it.
Problem 6: Redraw the line so angle w is bigger.
Problem 7: You don't have to only use angles that are labeled. Notice that the angle next to the 80 degree angle is a linear pair. And then the angle above that angle is a same side interior angle. Then notice that the 60 degree, x degree and other angle are supplementary.
Another approach, notice that 80 deg and then 60 + x deg angle is also same side interior angles.
There are still other ways to do this problem.
Problem 8: What type of angle pair are angle 2 and 3? Should they be congruent or supplementary?
Problem 9: Trace your transversal and higlight the two angles. Can you see which two should be parallel? Which angle relationship is this?
Problem 10: Use distance formula to find the length of each side. An isosceles triangle should have two sides of the same length.
Problem 11: Graph the triangle and find the slopes of the sides. Are any perpendicular?
Problem 12: What type of angle relationship do angles 1 and 2 have? Should these be congruent or supplementary?
Problem 13: We want the form y=mx+b. What should m be? Use the graph to find the slope. What should b be? b is the y-intercept where it crosses the y-axis.
Problem 14: Put i slope intercept form to find the slopes. Compare the slopes of the two lines.
Problem 15: Look at the angle next to the 125 degree angle. What kind of pair does that form with the 125 degree angle? Look at the anlge next to angle 1. What kind of pair does that form with the other angle? Can you make a supplementary angle set from the three angles on top?