Objective: I will find missing values using special segments of triangles.
Language:I will use terms such as median, altitude, perpendicular bisector, and midsegment in describing my reasoning.
Journal: Do all of the segment types intersect and if so, where?
Vocabulary: bisector, angle bisector, perpendicular bisector, altitude, median, midsegment, orthocenter, incenter, circumcenter, centroid
Homework: Finish Review Packet
Test your knowledge of segments at this cool website.
Test your knowledge of medians at the same website.
Review Packet Hints:
Here are some hints to help you study...
1. Use notes. Check lessons tab for classifying triangles lesson.
3-4 It should always be shorter to walk down the longest side of the triangle than the other two sides put together because the shortest distance between two points is always a straight line. If it is longer on the longest side than the other two put together then it is not a triangle.
5. The biggest angle is opposite the longest side. The smallest angle is opposite the smallest side.
6. Use triangle sum theorem (all angles add up to 180) and remember the hint from problem 5.
7. Try using numbers if the side is the smallest one that will work. For example, 18+ the other side must be bigger than 31. Tyr using numbers if the side is the biggest, so it has to be shorter than 18 +31.
8. Use triangle sum theorem. Add all 3 angles and set equal to 180 to get an equation which you can solve for x.
9. Use the exterior angle theorem from notes. The exterior angle = sum of the two remote interior angles.
10. Use supplementary angles to find one of the base angles. Equidistant means equal distance so this will be an isosceles triangle.
11.Use red foldable notes from last class.
12. What kind of segment can AD be? Use red foldable.
13. Use pythagorean triples or pythagorean theorem to first find x. Then use x to find y.
14. Pythagorean triple packet has these. It's also in Chapter 5-7.
15. These are midsegments which we just covered in class. Use the congruency marks to help. Also remember that the midsegments cut up a triangle into 4 congruent triangles. Skip c since it requires a quadratic.
16. The base angles on an isosceles triangle is congruent so the missing angle should be what? Use triangle sum theorem and add the three angles together and set equal to 180 to get an equation which you can solve for x. Substitute x back in to find angle Q.
16. Angle D and Angle F are the base angles of an isosceles triangle so they are congruent. You can use x for both angles. Add all 3 angles together and set equal to 180 using the triangle sum theorem.
18. Remember that angle L equals 60 degrees since it is an equilateral triangle. Set 3x+27 = 60 and solve.
19. Use vertical angles and alternate interior angles to solve for the missing angle.
20. Find the slope. Then use point-slope formula.
21. Set the congruent angles equal. Then use a linear pair to find angle 3.
22. You have to graph the points to find the original line. Find the slope of the original line. Remember what the slopes of perpendicular lines look like.