Post on 23-Dec-2015
Lesson 6-2Lesson 6-2
Similar PolygonsSimilar Polygons
Ohio Content Ohio Content Standards:Standards:
Ohio Content Ohio Content Standards:Standards:
Estimate, compute and solve problems involving real numbers, including
ratio, proportion and percent, and explain
solutions.
Ohio Content Ohio Content Standards:Standards:
Demonstrate fluency in computations using real
numbers.
Ohio Content Ohio Content Standards:Standards:
Estimate, compute and solve problems involving
rational numbers, including ratio,
proportion and percent, and judge the
reasonableness of solutions.
Ohio Content Ohio Content Standards:Standards:
Use proportional reasoning and apply indirect
measurement techniques, including right triangle
trigonometry and properties of similar triangles, to solve
problems involving measurements and rates.
Ohio Content Ohio Content Standards:Standards:Apply proportional reasoning to solve
problems involving indirect measurements or rates.
Ohio Content Ohio Content Standards:Standards:
Describe and apply the properties of similar and congruent figures; and
justify conjectures involving similarity and congruence.
Ohio Content Ohio Content Standards:Standards:
Make and test conjectures about characteristics and
properties (e.g., sides, angles, symmetry) of two-dimensional figures and
three-dimensional objects.
Ohio Content Ohio Content Standards:Standards:
Use proportions in several forms to solve problems involving similar figures
(part-to-part, part-to-whole, corresponding sides between figures).
Similar PolygonsSimilar Polygons
Similar PolygonsSimilar Polygons
When polygons have the same shape but may be different
in size.
Similar PolygonsSimilar Polygons
Two polygons are similar if their corresponding angles are
congruent and the measures of their
corresponding sides are
proportional.
Similar PolygonsSimilar Polygons
~~ is read is similar is similar toto
Determine whether each pair of figures is similar. Justify your
answer.
Determine whether each pair of figures is similar. Justify your
answer.
40°
K
50°
L M P
QR
Determine whether each pair of figures is similar. Justify your
answer.
A C
BS
R T4040°
80°
60°
80°5.2 7
5.253.9
An architect prepared a 12-inch model of a skyscraper to look like a real 1100-foot
building. What is the scale factor of the model compared
to the real building?
Two polygons are similar.
A
B
C
DE
R
S
T
UV
6
8
x
4
3
y + 1
Two polygons are similar.
A
B
C
DE
R
S
T
UV
6
8
x
4
3
y + 1
Write a similarity statement.Then find x, y, and UV.
Two polygons are similar.
A
B
C
DE
R
S
T
UV
6
8
x
4
3
y + 1
Find the scale factor of Polygon ABCDE to polygon RSTUV.
Rectangle WXYZ is similar to rectangle PQRS with a scale
factor of 1.5. If the length and width of PQRS are 10
meters and 4 meters, respectively, what are the
length and width of rectangle WXYZ?
The scale on the map of New Mexico is 1 centimeter = 80 miles. The distance on the
map across New Mexico from east to west through Albuquerque is 4.1 centimeters. How long
would it take to drive across New Mexico if you
drove at an average of 70 miles per hour?
Assignment:Assignment:
Pgs. 293-295 Pgs. 293-295 11-15 all, 11-15 all, 17-23 all, 17-23 all, 34-44 all34-44 all