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olganol [36]
4 years ago
13

The polygons in each pair are similar.

Mathematics
1 answer:
ankoles [38]4 years ago
5 0

Answer:

C) 1 : 2

Step-by-step explanation:

We want to find the scale factor of the smaller figure to the larger figure.

The scat factor is given by:

image length: corresponding object length

This time the smaller shape is the image and the bigger shape is the object:

The scale factor is :

6:12

Divide each term of the ratio by 6 to get:

1:2

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Answer:

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  2. Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

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<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

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