Deascry
17.12.2019 •
Mathematics
Consider that δxyz is reflected across the y-axis and translated 2 units down.
choose all true statements about the transformation.
x'y' ≅ xy
∠z ≅ ∠z'
δxyz is not congruent to δx'y'z'.
reflecting and translating the triangle change its shape and size.
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Ответ:
X'Y' ≅ XY
∠Z ≅ ∠Z'
Step-by-step explanation:
we know that
A transformation that does not alter the size or shape of a figure is called a Rigid Transformation
Translations, rotations and reflections are rigid transformations
Verify each statement
case 1) X'Y' ≅ XY
The statement is true
Because
Reflecting and translating the triangle not change its shape or its size
The corresponding sides of the image and the pre-image are congruent
case 2) ∠Z ≅ ∠Z'
Because
Reflecting and translating the triangle not change its shape or its size
The corresponding angles of the image and the pre-image are congruent
case 3) ΔXYZ is not congruent to ΔX'Y'Z'
The statement is false
Because
ΔXYZ is congruent to ΔX'Y'Z'
case 4) Reflecting and translating the triangle change its shape and size
The statement is false
Because
Reflecting and translating the triangle not change its shape or its size
Ответ:
Step-by-step explanation: