Download Section 4.1 #1.notebook

Section 4.1 #1.notebook
October 03, 2011
A closed figure in a plane that is made up of segments. (A many sided figure)
Jul 21­11:01 AM
1
Section 4.1 #1.notebook
October 03, 2011
Name the triangle.
B
Sides
Angles
A
C
Vertices
Angle opposite AB ___ Side opposite <ABC ___
Angle opposite AC ___ Side opposite <BCA ___
Angle opposite CB ___ Side opposite <BAC ___
Jul 21­11:04 AM
2
Section 4.1 #1.notebook
October 03, 2011
All angles are acute
All <'s are equal measures
ONE angle is obtuse
ONE angle is right
Sep 15­2:22 PM
3
Section 4.1 #1.notebook
October 03, 2011
No sides are congruent
All 3 sides are equal
At least 2 sides are equal
Sep 15­2:22 PM
4
Section 4.1 #1.notebook
October 03, 2011
Classify each triangle
3 yd
3 yd
5 ft
2 ft
4 ft
3 yd
isosceles
equilateral
6 ft
scalene
3 in
1 in
3 in
isosceles
4 ft
scalene
isosceles
8 ft
scalene
equilateral
Mar 9­3:34 PM
5
Section 4.1 #1.notebook
October 03, 2011
scalene
right
Classify each triangle
isosceles
acute
isosceles
right
equilateral
equiangular
acute
isosceles
obtuse
scalene
right
acute
equilateral
equiangular
obtuse
isosceles
obtuse
scalene
scalene
Mar 9­3:49 PM
6
Section 4.1 #1.notebook
October 03, 2011
Also find the value of PQ,QR and PR.
π x=30
PQ=QR=PR=65
Sep 15­2:22 PM
7
Section 4.1 #1.notebook
October 03, 2011
Prove: SU ≅ TU
dSU= √(2-3)2+(3+2)2 =√26
dTU= √(4-3)2+(3+2)2=√26
Sep 15­2:22 PM
8
Section 4.1 #1.notebook
1
October 03, 2011
Which statement is true?
A
An equilateral triangle is always acute.
B An isosceles triangle is always acute.
C An obtuse triangle is always isosceles.
D An acute triangle is always scalene.
Q4
9
Section 4.1 #1.notebook
October 03, 2011
2 Which statement is true?
A
A right triangle is never scalene.
B
An obtuse triangle is never isosceles.
C
An isosceles triangle is never acute.
D
An obtuse triangle is never equilateral.
Q5
10
Section 4.1 #1.notebook
October 03, 2011
3 Which statement is true?
A
A scalene triangle is never acute.
B A scalene triangle is sometimes right.
C
An obtuse triangle is always scalene.
D An obtuse triangle is never scalene.
Q6
11
Section 4.1 #1.notebook
4
October 03, 2011
An acute, isosceles triangle has a 60o angle. What can you conclude?
A
The triangle is obtuse.
B
The triangle is equilateral.
C
The triangle has a right angle.
D
The triangle has an obtuse angle.
Q8
12
Section 4.1 #1.notebook
5
October 03, 2011
Which triangle is scalene?
A
A triangle with a 40o angle and an 110o angle B A triangle with two 60o angles C A triangle with a 45o angle and a 90o angle D A triangle with a 50o angle and an 80o angle Q10
13
Section 4.1 #1.notebook
October 03, 2011
Homework
1. Use the distance formula to classify the triangle formed by the following ordered pairs.
S(­3,­1), U(2,1) and V(2,­3).
2. Classify the triangle formed by the midpoints of the sides of the triangle in question #1.
Jul 21­12:09 PM
14
Section 4.1 #1.notebook
October 03, 2011
Jul 24­10:38 AM
15