(02.03)The figure shows two triangles on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-ax
is and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1, and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4. What set of transformations is performed on triangle ABC to form triangle A’B’C’? A translation 5 units up followed by a 180-degree counterclockwise rotation about the origin A translation 5 units up followed by a 270-degree counterclockwise rotation about the origin A 180-degree counterclockwise rotation about the origin followed by a translation 5 units to the left A 270-degree counterclockwise rotation about the origin followed by a translation 5 units to the left
2 answers:
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Answer:
The ratio of their corresponding side lengths is equal to
Step-by-step explanation:
step 1
<em>Find the scale factor</em>
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-------> the scale factor
x----> the area of the smaller solid
y----> the area of the larger solid
so
In this problem we have
substitute
square root both sides
------> scale factor
Simplify
step 2
<em>Find the ratio of their corresponding side lengths</em>
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
In this problem we have that the scale factor is equal to
therefore
The ratio of their corresponding side lengths is equal to