HG U4D3 Conditions of Similarity Sept20

• Use the first slider to make the white triangle smaller than the pink triangle.

• Use the slider labeled “Slide Me Slowly!” to show the similarity transformation.

• List each of the transformations that occur.

Are the two triangles similar?

Justify your answer.

• Press the Reset button.

• Use the first slider to make the white triangle bigger than the pink triangle.

• Use the slider labeled “Slide Me Slowly!” to show the similarity transformation.

• List each of the transformations that occur.

Are the two triangles similar?

Justify your answer.

In the applet, you will find two triangles. The black angle in the green triangles is congruent to the black angle in the pink triangle. The black angle is included between sides a and b (green triangle) and between sides ka and kb (pink triangle).

• Use the red slider labeled “Slide Me!” to show the first transformation.

• Use the blue slider labeled “Slide Me!” to show the second transformation.

• Adjust the “k” slider until the figures are congruent.

• List each of the transformations that occur.

Are the two triangles similar?

Justify your answer

Press the Reset button. Determine the given information on the two triangles.

• Interact with the applet for a few minutes. As you do, be sure to move the locations of the green triangle’s black vertices and the location of the big X.

• Adjust the value of k by using the slider or by entering a value between 0 and 1.

• List each of the transformations that occur.

Are the two triangles similar?

Justify your answer

In the applet there are 2 triangles. The three sides of one triangle are proportional to the three sides of the other triangle.

• Adjust the scale factor (k) and the side lengths of the original triangle with the sliders. Interact with the applet for a few minutes

• List each of the transformations that occur.

Are the two triangles similar?

Justify your answer.

What information is given?

Determine if the two triangles are similar. If they are similar, explain the transformations that maps one triangle onto the other.

What information is given?

Determine if the two triangles are similar. If they are similar, explain the transformations that maps one triangle onto the other.

What information is given?

Determine if the two triangles are similar. If they are similar, explain the transformations that maps one triangle onto the other.

What information is given?

Determine if the two triangles are similar. If they are similar, explain the transformations that maps one triangle onto the other.

What information is given?

Determine if the two triangles are similar. If they are similar, explain the transformations that maps one triangle onto the other.