Triangle Similarity — Test

Question 1

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

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

Question 2

Which statements are true? Choose three correct answers. (The formula for the area of a triangle is cap A is equal to 1 half b h )

Revolt · Accepted Answer

BA is equal to 4 cm; AC is equal to 5 cm; The perimeter of triangle ABC is equal to 12 cm.

Question 3

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?

Revolt · Accepted Answer

the fraction with numerator cap r cap s and denominator cap v cap u is equal to the fraction with numerator cap s cap t and denominator cap u cap t and angle cap s is congruent to angle cap u

Question 4

To prove that △DFE∼△GFH by the SSS similarity theorem using the information provided in the diagram, it would be enough additional information to know that

Revolt · Accepted Answer

cap h cap f is 4 units and cap g cap h is 2 units.

Question 5

Which statements about triangle JKL are true? Choose two correct answers.

Revolt · Accepted Answer

cap n is the midpoint of line segment JL .; MN is equal to 1 half KJ

Triangle Similarity — Test Answers

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