IM Geo.3.9 Practice: Conditions for Triangle Similarity

What is the length of segment DF?
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[/img]
In triangle ABC, angle A is 35º and angle B is 20º.
Select [b]all [/b]triangles which are similar to triangle ABC.
Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.
Lin is trying to convince Andre that all circles are similar.
Help her write a valid justification for why all circles are similar. 
Must these parallelograms be similar?
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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][br] Explain your reasoning.
Determine if each statement must be true, could possibly be true, or definitely can't be true. Explain or show your reasoning.
An equilateral triangle and a right triangle are similar.
A right triangle and an isosceles triangle are similar.[br]
Quadrilaterals [math]Q[/math] and [math]P[/math] are similar.[br][img]data:image/png;base64,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[/img][br]What is the scale factor of the dilation that takes [math]P[/math] to [math]Q[/math]?
The circle centered at Q is a scaled copy of the circle centered at R.
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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]Find the scale factor.
Find the value of [math]x[/math].
Cerrar

Información: IM Geo.3.9 Practice: Conditions for Triangle Similarity