Download Lesson 4-1 Classifying Triangles Ohio Content

Lesson 4-1
Classifying Triangles
Ohio Content Standards:
Ohio Content Standards:
Formally define geometric figures.
Ohio Content Standards:
Use coordinate geometry to represent and
examine the properties of geometric
figures.
Ohio Content Standards:
Make and test conjectures about
characteristics and properties (e.g., sides,
angles, symmetry) of two-dimensional
figures and three-dimensional objects.
Ohio Content Standards:
Represent and analyze shapes using
coordinate geometry.
Acute Triangle
Acute Triangle
All angles are acute.
Obtuse Triangle
Obtuse Triangle
One angle is obtuse.
Right Triangle
Right Triangle
One angle is right.
Equiangular Triangle
Equiangular Triangle
An acute triangle with all angles
congruent.
The triangular truss below is modeled for
steel construction. Classify JMN, JKO,
OLN as acute, equiangular, obtuse, or
right.
M
L
K
J
O
N
Scalene Triangle
Scalene Triangle
No two sides of the triangle are
congruent.
Isosceles Triangle
Isosceles Triangle
At least two sides of the triangle
are congruent.
Equilateral Triangle
Equilateral Triangle
All of the sides of the triangle are
congruent.
Identify t he indicated triangles
in the figure if UV  VX  UX .
V
Y
U
T
Z
W
X
Identify t he indicated triangles
in the figure if UV  VX  UX .
V
Y
U
T
Z
W
X
Isosceles Triangles
Identify t he indicated triangles
in the figure if UV  VX  UX .
V
Y
U
T
Z
W
X
Scalene Triangles
Find d and the measure of each
side of equilateral triangle KLM if
KL = d + 2, LM = 12 – d, and
KM = 4d – 13.
Find the measures of the sides of
RST. Classify the triangle by
sides.
S (4, 4)
R
(-1, -3)
T
(8. -1)
Assignment:
Pgs. 181-183
14-18 all,
22-27 all,
32-36 evens