Math  /  Geometry

QuestionTwo similar triangles are shown. MNO\triangle M N O was dilated, then \qquad , to create YHQ\triangle \mathrm{YHQ}. rotated reflected translated dilated

Studdy Solution

STEP 1

1. The triangles MNO \triangle MNO and YHQ \triangle YHQ are similar.
2. The transformation sequence involves dilation followed by another transformation.
3. The options for the second transformation are rotation, reflection, translation, or dilation.

STEP 2

1. Understand the properties of similar triangles.
2. Analyze the transformations that preserve similarity.
3. Determine the transformation applied after dilation.

STEP 3

Understand the properties of similar triangles:
- Similar triangles have the same shape but may differ in size. - Corresponding angles are equal, and corresponding sides are proportional.

STEP 4

Analyze the transformations that preserve similarity:
- Dilation changes the size but not the shape. - Rotation changes orientation but not size or shape. - Reflection creates a mirror image. - Translation shifts the position without changing size or shape. - A second dilation would change the size again.

STEP 5

Determine the transformation applied after dilation:
- Since MNO \triangle MNO and YHQ \triangle YHQ are similar and oriented differently, a rotation could have been applied. - Reflection would create a mirror image, which may not match the orientation. - Translation would not change the orientation. - A second dilation would alter the size again, not just the orientation.
The most likely transformation after dilation is rotation.
The transformation applied after dilation to create YHQ \triangle YHQ is:
rotated \boxed{\text{rotated}}

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