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Geometry Help!!

For triangle TRI the following facts are given:
Segment AN || Segment RI
AT = 8cm
AR = 2cm
TN = 12cm
(a) use a two-column or paragraph format to prove triangle TAN ~ triangle TRI
(b) use the side splitting theorem to find NI.

Geometry Help For triangle TRI the following facts are given Segment AN Segment RI AT 8cm AR 2cm TN 12cm a use a twocolumn or paragraph format to prove triangle class=

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mathstudent55
a)
Statements                                    Reasons
1. Segment AN || Segment RI       1. Given
2. <TAN is congr. to <R                 2. If  2 lines are cut by a tranversal,
                                                        then corresponding angles are congruent
3. <TNA is congr. to <I                  3. Same as 2.
4. Triangle TAN ~ triangle TRI      4. AA

b)
AT/AR = TN/NI

8/2 = 12/NI

4 = 12/NI

4NI = 12

NI = 3

NI = 3 cm

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