Which statement must be true to prove ? || m?
Answer:
D
Step-by-step explanation:
<1 and <3 are alternate interior angles and their congruence <1=<3, proves that l || m.
In order to prove that line 'l' is parallel to the line 'm', angle 1 must be congruent to angle 3 and this can be determined by using the given data.
Given :
The figure shows two lines 'l' and 'm'.
There are four angles 1, 2, 3, and 4.
The following steps can be used in order to determine the correct statement that proves 'l' is parallel to 'm':
Step 1 - According to the given data, there are four interior angles 1, 2, 3, and 4.
Step 2 - In order to prove that line 'l' is parallel to the line 'm', angle 1 must be congruent to angle 3.
Step 3 - The mathematical expression of the above statement is:
[tex]\angle 1 \cong \angle 3[/tex]
Therefore, the correct option is D).
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