Download File - Integrated Math 1

Transforming
Geometry
Harrison High School
Warm Up
Warm Up Answers
Definition of Congruence
• Objective: SWBAT determine if 2 given figures are congruent
by using the definition of congruence. 4.1.b.iii (CCSS G-CO.7)
• DOL: Given 1 CR and 2 MC questions, students will create the
appropriate congruency statements with 75% accuracy.
Essential Question
• How can we tell if two things are the same?
Reflection, Rotation,
Translation
• What is unique about the size of the pre-image and image?
Size and shape are the same
The Right Match
Congruent
Not congruent
A
D
F
C
B

E
Notes
Think-Write-Pair-Share
How will we find the lengths of all
of the sides?
Lengths AC and BC can be done by counting.
AC= 8
BC= 7
Given the following about the
angles in triangle ABC:
Think-Write-Pair-Share
Whiteboards
Solving for the missing variable
STEPS
1. Identify the Corresponding sides and angles between two figures
2. Set the corresponding expressions equal to each other
3. Solve for the variable
Example
Example,cont.
First Solve for x.
Then use x to help solve for y
You Try
Solve for x and y.
x=5
y=4
More Practice
What must the value of x be given
that triangle EFG is congruent to
triangle EHG?
11
x=
2
X
Prove: ΔLXM ≅ ΔYXM
The two triangles are
congruent because the
corresponding line segments
are the same length.
L
Also, the corresponding angles
are the same measure.
M
Y
Since both the angles and line
segments are congruent, we
are able to say the triangles are
congruent.
DOL
1.
DOL
2. In the diagram, ΔFHJ  ΔHFG. Find
the values of x and y.
A. x = 4.5, y = 2.75
B. x = 2.75, y = 4.5
C. x = 1.8, y = 19
D. x = 4.5, y = 5.5
3. The support beams on the fence form congruent
triangles. In the figure ΔABC  ΔDEF, which of the
following congruence statements correctly
identifies corresponding angles or sides?
A.
B.
C.
D.
DOL
1.
3y = 21
y=7
DOL
2. In the diagram, ΔFHJ  ΔHFG. Find
the values of x and y.
A. x = 4.5, y = 2.75
B. x = 2.75, y = 4.5
C. x = 1.8, y = 19
D. x = 4.5, y = 5.5
2y-3=2.5
2y=5.5
y=2.75
(6x+8)°=35°
6x=27
3. The support beams on the fence form congruent
triangles. In the figure ΔABC  ΔDEF, which of the
following congruence statements correctly
identifies corresponding angles or sides?
A.
B.
C.
D.