Describe how you would graph a figure that is translated by (x - 4, y + 2
2 answers:
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Purple color figure is similar to the original figure.
<u>Solution:</u>
Property of similar polygon:
<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>
(1) <u>Compare original figure with green color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the green color figure:
67°, 23° and 90°
These two angles of the triangles not congruent angles.
Hence these shapes are not similar.
(2) <u>Compare original figure with yellow color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the yellow color figure:
67°, 23° and 90°
These two angles of the triangles are not congruent angles.
Hence these shapes are not similar.
(3) <u>Compare original figure with purple color figure:</u>
Angles of the original figure:
37°, 53° and 90°
Angles of the purple color figure:
37°, 53° and 90°
These two triangles have same shape and congruent angles.
Ratio of the sides:
These two triangles have same ratio.
Hence these shapes are similar.
Hence purple color figure is similar to the original figure.
Answer:
.
Step-by-step explanation:
The given conic has equation;
Divide through by 9.
.
This is an ellipse centered at the origin;
This ellipse has been translated so that the center is now at;
The translated ellipse has equation;
.
Clear the fraction;
.
Expand;
.
.
Write in general form;
.
.
The correct choice is D