Who am I?
Anthony Robles
Anthony Robles
129-15 HS record
122-23 College record
National Champion in 2011
Anthony Robles
129-15 HS record
122-23 College record
National Champion in 2011
Friday’s Test
• Posted to power school
• Make ups and corrections will be held
Wednesday after school
• Will let you see your test at the end of class
if wanted
Corrections
• Most commonly points were lost on word
problems
• Make sure to re-work the review problems
before showing up
• Earn up to 40% back
Transformations
Example
Consider the triangle in the coordinate
plane with the vertices: 𝐴 (3, −2), 𝐵 0,2 ,
and 𝐶 4,7 . Reflect the triangle over the Xaxis and determine the coordinates of the
′ ′
image ∆𝐴 𝐵 𝐶′.
Basic Vocabulary
• polygon
• convex/concave
• vertex
• translation
• reflection
• rotation
• dilation
Basic Vocabulary
• polygon – shape
• convex/concave
• vertex
• translation
• reflection
• rotation
• dilation
Basic Vocabulary
• polygon – shape
• convex/concave – bends out/bends in
• vertex
• translation
• reflection
• rotation
• dilation
Basic Vocabulary
• polygon – shape
• convex/concave – bends out/bends in
• vertex – corner point
• translation
• reflection
• rotation
• dilation
Basic Vocabulary
• polygon – shape
• convex/concave – bends out/bends in
• vertex – corner point
• translation – moved along an axis (or both)
• reflection
• rotation
• dilation
Basic Vocabulary
• polygon – shape
• convex/concave – bends out/bends in
• vertex – corner point
• translation – moved along an axis (or both)
• reflection – mirrored over a line
• rotation
• dilation
Basic Vocabulary
• polygon – shape
• convex/concave – bends out/bends in
• vertex – corner point
• translation – moved along an axis (or both)
• reflection – mirrored over a line
• rotation – revolved about a point*
• dilation
Basic Vocabulary
• polygon – shape
• convex/concave – bends out/bends in
• vertex – corner point
• translation – moved along an axis (or both)
• reflection – mirrored over a line
• rotation – revolved about a point*
• dilation – shrunk or stretched
Basic Vocabulary – Two More
• pre-image
• image
Basic Vocabulary – Two More
• pre-image – the shape before the
transformation is applied
• image
Basic Vocabulary – Two More
• pre-image – the shape before the
transformation is applied
• image – the shape after the transformation
is applied
Example 1
Example 1
Enlargement, n = 2
Example 1
Example 1
Reduction, n = ½
Example 2
Apply the transformation
rule
𝑇<−3,1> (𝑥, 𝑦)
on the quadrilateral shown
to the left.
Example 2
Apply the transformation
rule
𝑇<−3,1> (𝑥, 𝑦)
on the quadrilateral shown
to the left.
Example 𝜹
Sketch the convex pentagon, 𝐴𝐵𝐶𝐷𝐸,
and apply a 1800 rotation about the
point Q that lies on 𝐴𝐵. Label the
image of this transformation with
prime notation.
Notice
Example H
The blue image is a translation
of the black image. Write the
translation rule that represents
the change.
Example H
The blue image is a translation
of the black image. Write the
translation rule that represents
the change.
𝑻<?,?> (𝒙, 𝒚)
Example H
The blue image is a translation
of the black image. Write the
translation rule that represents
the change.
¿ 𝑻<𝟓,−𝟑> (𝒙, 𝒚)
Or
𝑻<−𝟓,𝟑> 𝒙, 𝒚 ?
Example H
The blue image is a translation
of the black image. Write the
translation rule that represents
the change.
¡ 𝑻<−𝟓,𝟑> 𝒙, 𝒚 !
Example 5
Apply the reflection rule
𝑅𝑦=2 (𝑥, 𝑦)
On the triangle given.
Example 5
Apply the reflection rule
𝑅𝑦=2 (𝑥, 𝑦)
On the triangle given.
Example 5
Apply the reflection rule
𝑅𝑦=2 (𝑥, 𝑦)
On the triangle given.
Example 5
Apply the reflection rule
𝑅𝑦=2 (𝑥, 𝑦)
On the triangle given.
Voila!
Example 5 Part B
Apply the reflection rule
𝑅𝑦=2 (𝑥, 𝑦)
On the triangle given.
Who is this
Tom?
Example 5 Part B
Which graph shows the correct application of 𝑅𝑦=2 (𝑇𝑂𝑀)?
a)
b)
c)
d)
Example 5 Part B
Which graph shows the correct application of 𝑅𝑦=2 (𝑇𝑂𝑀)?
a)
b)
c)
d)
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