For the triangles made by the line k which is parallel to I, the option 1, 3 and 5 are correct.
- Vertical angles prove Angle1 Is congruent to Angle4.
- Angle5 and Angle3 are alternate interior angles.
- The triangles are similar because all corresponding angles are congruent.
What are the angles formed by the transverse line cut by the transversal?
Angles formed by the transverse line cut by the transversal-
- Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.
- Alternate interior angle- This angle made inside the parallel lines cut by the transversal.
- Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.
- Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.
Given, k Is parallel to l. The image for this problem is attached below.
Let's check all the options-
- Vertical angles prove Angle1 Is congruent to Angle4- In the attached image the angle 1 and 4 are equivalent. Thus, this is the correct option.
- Alternate exterior angles prove Angle5 Is congruent to Angle3- No, they are interior angles.
- Angle5 and Angle3 are alternate interior angles-This option is also correct, as angle Angle5 and Angle3 are alternate interior angles.
- The ratios of the corresponding angles are equivalent-No the ratios are not equivalent for the corresponding angles.
- The triangles are similar because all corresponding angles are congruent-When the corresponding angles are congruent.
Hence, For the triangles made by the line k which is parallel to I, the option 1, 3 and 5 are correct.
- Vertical angles prove Angle1 Is congruent to Angle4.
- Angle5 and Angle3 are alternate interior angles.
- The triangles are similar because all corresponding angles are congruent.
Learn more about the angles formed by the transverse line here;
https://brainly.com/question/13207832
