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Name: _______________________________________________________
Date: ______________________
Period: _________
Chapter 11B: Coordinate Geometry Triangle Proofs
Topic 2: Triangle Inequalities
Do Now:
Identify the slope and the y-intercept of each equation
1.
2.
3.
Review: Graphing Inequalities
When graphing linear inequalities on the coordinate plane, first graph the line and then determine where
to shade.
Example: Graph
4
1) Decide if the line is “open or closed”
- if less than or greater than OPEN = Dashed Line
- if less than or equal to or greater than or equal to CLOSED = Solid Line
2) Decide where to shade
- if greater than ABOVE
- if less than BELOW
Practice:
1) Graph the linear inequality on the graph provided.
Name: _______________________________________________________
2) Graph the linear inequality on the graph provided.
Date: ______________________
Period: _________
3) Using your knowledge of linear inequalities, identify the equation of the graphed inequalities.
(a)
(b)
(c)
4) Using your knowledge of linear inequalities, identify the three inequalities which
would be used to shade
.
is graphed with A(0,1), B(2,-5) and C(8,-2).
Name: _______________________________________________________
Date: ______________________
Triangle Inequalities Homework
Period: _________
1) Using your knowledge of linear inequalities, identify the three inequalities which
would be used to shade
.
is graphed with A(-5, 5), B(-3, -1) and C(6, 5).
2) Using your knowledge of linear inequalities, identify the three inequalities which
would be used to shade
.
is graphed with A(-3, -5), B(0, 4) and C(6, -2).
Name: _______________________________________________________
_____ 3) Which graph represents the inequality
[1]
[2]
[3]
Date: ______________________
?
Period: _________
[4]
_____ 4) Which equation has a slope of 3 and passes through the point (4, 14)?
[1]
[2]
[3]
[4]
_____ 5) If AB is contained in plane P, and AB is perpendicular to plane R, which statement is true?
[1] AB is parallel to plane R
[2] AB is perpendicular to plane P
[3] Plane P is parallel to plane R
[4] Plane P is perpendicular to plane R
_____ 6) Which geometric principle is used to justify the construction below?
[1] A line perpendicular to one of two parallel lines is perpendicular to the other.
[2] Two lines are perpendicular if they intersect to form congruent adjacent angles.
[3] When tow lines are intersected by a transversal and alternate interior
angles are congruent, the lines are parallel.
[4] When two lines are intersected by a transversal and the corresponding
angles are congruent, the lines are parallel.
7) Find the coordinates of B if A is ( 1, 4)
and the midpoint of AB is M = (5, 4).
8) In the diagram, P is the centroid of
. If
PM = 2x + 5 and BP = 7x + 4, what is the length of BM?
Name: _______________________________________________________
Date: ______________________
Period: _________
Coordinate Geometry Triangles Day 3 Homework
1)
2)
3) [4]
4) [2]
5) [4]
6) [4]
7) (11,4)
8) x = 2 BM = 27