1. 6.6(b) Notes: Triangles in the Coordinate Plane
Lesson Objective: Prove triangles congruent in the coordinate plane.
CCSS: G.CO.10, G.GPE.4
Need: colored pens
Real-Life App: What kind of triangle is the West Texas Triangle? L
This is Jeopardy!!!: This is the
distance of AB. J ● ●

2. Lesson 1: Classifying Triangles in the Coordinate Plane
Plot ΔJKL with vertices J(-3, 0), K(-7, 1) and L(-4, 4). Classify the triangle.
d = √
JK = L
KL = J
LJ = ● ●

3. Lesson 2: Classifying Triangles in the Real World
Classify the triangle.
OA =
AS =
SO =

4. Lesson 3: Congruency in the Coordinate Plane
Given ΔABC has vertices A(-2,3), B(-2,-1), and C(1,-1) and ΔDEF has vertices D(2,1), E(2,5), F(5,5), determine if the triangles are congruent. If congruent, name the postulate that proves their congruency.
AB = DE =
BC = EF =
CA = FD =

5. 6.6: Do I Get It? Yes or No
Position and label Name the missing
right ΔABC with legs coordinate(s) of ΔZCY.
AC and AB so that AC
is 3a units long on the
x-axis and leg AB is 2b
units long on the y-axis.

6. 6.6: Do I Get It? Continued
Plot ΔABC with vertices A(1, 1), B(0, 3) and C(2,
Determine the classification of ΔABC.
Now plot ΔEFG with vertices E(1, -1), F(2, -5) and
G(4, -4) on the same coordinate plane as ΔABC. Prove ΔABC ΔEFG. If so, name the postulate or theorem that justifies your answer.

7. 6.6: Do I Get It? Continued
5. Classify the triangle.