Question

For triangle TRI the following facts are given:

Segment AN // Segment RI
AT= 8 cm AR= 2 cm TN = 12 cm

Answer the following questions.

1) Assume triangle TAN is the image of triangle TRI under a dilation. Is the dilation an expansion or a contraction?

2) What is the scale factor?

3)Use the Side-Splitting Theorem to find NI.

Answer 1

For the answer to the question above,b.Triangle TAN being an image of triangle TRI is smaller than triangle TRI, and so is a contraction.while,
c.) TA/AN = TR/RI3.3/6 = (3.3 + AR)/86(3.3 + AR) = 8 * 3.3 = 26.43.3 + AR = 26.4/6 = 4.4AR = 4.4 - 3.3 = 1.1AR = 1.1
d.) TA/TN = TR/TI3.3/TN = (3.3 + 1.1)/(TN + 1.6)3.3(TN + 1.6) = 4.4TN3.3TN + 5.28 = 4.4TN4.4TN - 3.3TN = 5.281.1TN = 5.28TN = 5.28/1.1 = 4.8TN = 4.8I hope my answer helped you.