Relationships of Triangles: Similarity — Test

Question 1

How can the triangles be proven similar by the SAS similarity theorem?

Revolt · Accepted Answer

Show that the ratios the fraction with numerator cap u cap v and denominator cap x cap y and the fraction with numerator cap w cap v and denominator cap z cap y are equivalent, and angle cap v is congruent to angle cap y .

Question 2

Why is the information in the diagram enough to determine that triangle LMN approximates triangle PON using a rotation about point cap n and a dilation?

Revolt · Accepted Answer

because angle MNL and angle ONP are congruent angles

Question 3

Right triangle ABC is reflected over line segment AC , then dilated by a scale factor of 2 thirds to form triangle DEC Which statements about the two triangles must be true? Choose three correct answers.

Revolt · Accepted Answer

triangle ABC approximates triangle DEC; angle cap b is congruent to angle cap e; 3DE is equal to 2AB

Question 4

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

Revolt · Accepted Answer

1

Question 5

Which best explains why all equilateral triangles are similar?

Revolt · Accepted Answer

All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

Relationships of Triangles: Similarity — Test Answers

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