Which of the following best describes the triangles shown below

A. triangle 1 and 2 are similar because triangle to can be created by rotating a reflecting and / or translating and dilating triangle one.
B. triangle 1 and triangle two are congruent because triangle to can be created by rotating reflecting and / or translating triangle one.
C. triangletriangle 1 inch angle 2 are similar because triangle to can be created by rotating reflecting and / or translating triangle one.
D. triangletriangle wine and triangle t are congruent because triangle to can be created by rotating reflecting am so sore translating and I eleidin triangle one.

The best describes the triangles shown is "triangle 1 and triangle 2 are congruent because triangle 2 can be created by rotating reflecting and translating triangle one"

Step-by-step explanation:

Let us revise some facts about rotation, reflection and translation

The vertices of triangle 1 are:

(-1 , 4) , (-2 , 8) , (-7 , 5) ⇒ as shown in the figure

If triangle 1 rotates 90° counterclockwise around the origin, change the sign of each y-coordinate and switch the two coordinates of each vertex then the vertices of the new triangle will be:

(-4 , -1) , (-8 , -2) , (-5 , -7)

If the new triangle is reflected about the y-axis, change the sign of x-coordinate of each vertex then the vertices of the new triangle will be:

(4 , -1) , (8 , - 2) , (5 , -7)

If the new triangle is translated 3 units to the left, subtract 3 from the x-coordinate of each vertex then the vertices of triangle 2 are:

(1 , -1) , (5 , -2) , (2 , -7) as the figure shown

Rotation, reflection and translation do not change the size of the shape, so the shape and its image are congruent

Only dilation change the size of the shape, so the shape and its image are similar

The best describes the triangles shown is "triangle 1 and triangle 2 are congruent because triangle 2 can be created by rotating reflecting and translating triangle one"

addition

step-by-step explanation:

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