Day 2 Right Triangle.notebook
November 20, 2014
DO NOW:
1) Write the six steps used to do an analytic proof.
Homework:
Given: ABC with A (10,3), B (­2, 3), and C (4,1)
Prove:
1) Graph
2) If a triangle has 2 congruent sides then it is an isosceles triangle.
ABC is isosceles
y
3) d = √(x1 - x2 )2 + (y1 - y2 )2
B
A
C
4) BC & AC = √40
x
5) BC ≅ AC
6) ∴ ABC is an isosceles triangle.
Day 2 Right Triangle.notebook
November 20, 2014
2. Given: EFG with E (­3, 3), F (­2, ­1), and G (2, 1)
Prove: EFG is scalene
1) Graph
2) If a triangle has no equal sides, then it is a scalene triangle.
3) d = √(x1 ­ x2)2 + (y1 ­ y2)2
4) dFG = √20 dEG = √29 dEF = √17
E
G
F
5) dFG ≅ dEG ≅ dEF
6) ∴ EFG is scalene Analytic Proof: The Right Triangle
Objective: students will apply their knowledge of the qualities of a right triangle to complete an analytic proof.
Day 2 Right Triangle.notebook
November 20, 2014
Given: DEF with D (1, ­1), E (7, ­1), and F (7, 7)
Prove:
DEF is a right triangle
2) If a triangle has a right angle then it is a right triangle.
Given: ABC with A (0, ­5), B (2, ­1), and C (10, ­5)
Prove:
ABC is a right triangle
2) If a triangle has a right angle then Homework:
it is a right triangle.
Given: ABC with A (5, 7), B (2, 3), and C (1,4)
Prove:
ABC is a right triangle
Day 2 Right Triangle.notebook
November 20, 2014
Exit:
Write and property and the formula(s) to prove that a triangle is a right triangle.
Homework
Given: DEF with D (­4, 0), E (3, 5), and F (8, ­2)
Prove: DEF is a right triangle
Homework:
Given: ABC with A (5, 7), B (2, 3), and C (1,4)
Prove:
ABC is a right triangle