Download Warm-Up Exercises

Warm-Up
BellExercises
Work
Determine whether the two triangles are similar.
1.
ABC: m A = 90º, m
m E = 46º.
B = 44º;
DEF : m
D = 90º,
2.
ABC: m A = 132º, m
m F = 24º.
B = 24º; DEF : m
D = 90º,
Warm-Up
Exercises
Notes
Theorem
Side-Side-Side Similarity Theorem
If the corresponding side lengths of two triangles are
proportional, then the triangles are similar.
Warm-Up1Exercises
EXAMPLE
Use the SSS Similarity Theorem
Is either
DEF or
GHJ similar to
ABC?
Warm-Up2Exercises
EXAMPLE
Use the SSS Similarity Theorem
Find the value of x that makes
ABC ~
DEF.
Warm-Up
Exercises
GUIDED
PRACTICE
1.
for Examples 1 and 2
Which of the three triangles
are similar? Write a similarity
statement.
Warm-Up
Exercises
GUIDED
PRACTICE
2.
for Examples 1 and 2
The shortest side of a
triangle similar to RST is
12 units long. Find the
other side lengths of the
triangle.
Warm-Up
Exercises
Notes
Theorem
Side-Angle-Side Similarity Theorem
If an angle of one triangle is congruent to an angle of a second
triangle and the lengths of the sides including these angles are
proportional, then the triangles are similar.
Warm-Up3Exercises
EXAMPLE
Use the SAS Similarity Theorem
You are building a lean-to shelter starting from a tree
branch, as shown. Can you construct the right end
so it is similar to the left end using the angle
measure and lengths shown?
Warm-Up4Exercises
EXAMPLE
Choose a method
Prove the triangles are similar.
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 3 and 4
Prove the indicated triangles are similar.
3.
SRT ~
PNQ
Warm-Up
Exercises
GUIDED
PRACTICE
for Examples 3 and 4
Prove the indicated triangles are similar.
4.
XZW ~
YZX
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
1.
Show that the triangles are similar and write a
similarity statement. Explain your reasoning.
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
2.
Verify that ABC ~
information.
DEF for the given
ABC : AC = 6, AB = 9, BC = 12;
DEF : DF = 2, DE= 3, EF = 4
Warm-Up
Exercises
For Tomorrow
Homework
HW: 6.4 (pg. 387-388) #24,25-27,29-32,35