# Definition of Similarity in Terms of Similarity Transformations

## DIRECTIONS

Use the toolbar to rotate, translate, reflect or dilated one triangle to map it onto the other.
The

**button lets you select an object.**__MOUSE__*Always select the mouse button after using any tool on the toolbar.*Select the**button in the upper left corner to reset the triangles.***REFRESH***DILATION**--> Click the**button on the toolbar. Click on the**__Dilate From a Point____triangle__you want to dilate, then the__point__you want to dilate around. A box will appear to enter the scale factor. Type**EXACTLY, then enter. If done correctly, the triangle should enlarge or reduce as you move the ScaleFactor slider.***ScaleFacto*r**ROTATION**--> Click the__Rotate about a Poi____button on the toolbar. Click on the__**nt**__triangle__you want to rotate, then the__point__you want to rotate around. A box will appear to enter the angle of rotation. Type**EXACTLY, then enter. If done correctly, the triangle should rotate around the selected point as you move the Angle slider.***Angle***REFLECTION**--> Click the**button on the toolbar. Click on the**__Reflect about a Line____triangle__you want to reflect, then the__side__of the triangle you want to reflect across. If done correctly, the triangle should reflect over the side of the triangle you selected.**TRANSLATION**-->**(STEP 1)**Click the**button on the toolbar. Click the**__Vector____point__on the triangle you want to translate, followed by the__point__on the OTHER triangle you want to map the first triangle onto. (For example, click on point D then point A to translate point D onto point A).**(STEP 2)**Click the**on the toolbar. Click on the**__Translate by Vector____triangle__you want to translate and the__vector__you created in step 1. If done correctly, the triangle you selected should translate onto the other triangle.## Triangle ABC was dilated about a point to produce triangle DEF. What is true about the corresponding sides and angles?

## What similarity transformations would prove triangle ABC is similar to GHI?

## What similarity transformations would prove triangle ABC is similar to JLK?

## What similarity transformations would prove triangle ABC is similar to MNO?

## What similarity transformations would prove triangle ABC is similar to PQR?

## What similarity transformations would prove triangle ABC is similar to STU?

## What similarity transformations would prove triangle ABC is similar to XYZ?

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