HG U4D3 Conditions of Similarity Sept20

Warm Up

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Which one does not belong?

Use the link to interact with the GeoGebra activity and answer the questions.
https://www.geogebra.org/m/vsavyg2c

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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.

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Are the two triangles similar?
Justify your answer.

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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.

1

Are the two triangles similar?
Justify your answer.

Use the link to interact with the GeoGebra activity and answer the questions.
https://www.geogebra.org/m/vesvqadq

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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.

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Are the two triangles similar?
Justify your answer

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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.

1

Are the two triangles similar?
Justify your answer

Use the link to interact with the GeoGebra activity and answer the questions.
https://www.geogebra.org/m/bkgrcspr

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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.

1

Are the two triangles similar?
Justify your answer.

Are They Similar?
Use the figure below.

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What information is given?

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

Are They Similar?
Use the figure below.

1

What information is given?

1

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

Are They Similar?
Use the figure below.

1

What information is given?

1

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

Are They Similar?
Use the figure below.

1

What information is given?

1

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

Are They Similar?
Use the figure below. 

1

What information is given?

1

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

1

For the pair of similar figures, give three ratios that would be equivalent.
a = _______     b = _______ 

For the pair of similar figures, give three ratios that would be equivalent.

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For the pair of similar figures, give three ratios that would be equivalent. 
Complete the ratios to find x and y.
x = _______    y = _______ 

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After you replace x and y, cross multiply the first two ratios to solve for c.
c = _______ 

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Cross multiply the last two ratios to solve for a.
a = _______ 

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For the pair of similar figures, give three ratios that would be equivalent. Use the ratios to find the length of each missing side.

x = _______     d = _______ 

Which one does not belong?

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.

Are the two triangles similar? Justify your answer

Are the two triangles similar? Justify your answer

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.

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.

Are the two triangles similar?
Justify your answer

Are the two triangles similar?
Justify your answer

Are the two triangles similar?
Justify your answer.