Question

Type the correct answer in the box. The figure shows five polygons: ABCDE, FGHIJ, KLMNO, PQRST, and UVWXY. Polygon cannot be mapped onto the others by similarity transformations.

Answer 1

The best and most correct answer among the choices provided by the question is the first choice. Figure ABCDE  cannot be mapped onto the others by similarity transformations. I hope my answer has come to your help. God bless and have a nice day ahead!

Answer 2

ABCDE and PQRST polygons cannot be mapped.

Polygons:

• A polygon is a closed polygonal chain made up of a finite number of straight-line segments that are joined to form a planar figure in geometry (or polygonal circuit).
• A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.

Solution -

• A graphic with five different polygons is presented to us. Selecting two polygons that cannot be transferred to one another by similarity transformations is required.
• If the corresponding sides of two polygons are proportionate, then the polygons are said to be comparable.
• We have in the polygons ABCDE and PQRST.
• AB is worth 10 units, BC is worth 8 units, the CD is worth 6, PQ is worth 6, QR is worth 5, and PT is worth 3.

We have,

$\frac{AB}{QR} =\frac{10}{5} =2$

$\frac{BC}{PQ} =\frac{8}{6} = \frac{4}{3}$

• The ratio of the corresponding sides is not proportionate as a result.
• As a result, the two polygons cannot be comparable.

Thus, similarity transformations cannot transfer polygons ABCDE and PQRST to one another.

Know more about Polygons here:

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