Just give me a few minutes ok?
First step
Second step
the green triangle is the translation of the preimage in red, left by seven units and up by three units.
the algebraic rule
(x0,y0) translate to (x,y)
x=x0-7 (-7 because we are moving to the left)
y=y0+3
for example, one point in the preimage is (x0,y0)=(3,3)
x=x0-7=3-7=-4
y=y0+3=3+3=6
so the point in the translation is (-4,6)
Third step
the blue triangle is the reflection of the red triangle over the x-axis
the algebraic rule is
y0 reflect is -y
x0 reflect is x
Forth step
the purple triangle is the red triangle rotated 90° counterclockwise
the algebraic rule for a rotation of 90 degrees counterclockwise
y0 is x
x0 is -y
Fifth step
the dilated image is the triangle brown of the red triangle
algebraic rule
x0 = x/2
y0=y/2
Part A.
Figures or objects are congruent if they have the same shape and size,
Triangles red, green, blue, and purple are congruent
the transformation that generates a congruent image are
Translation
Reflection
Rotation
Part B.
Two figures are said to be similar if they are the same shape.
the triangles red and brown are similar
the transformation the generates a similar image is dilate
Any questions?
