Two parallel lines cut by a transversal can create all the following types of angles except
Two triangles are similar. The measure of the shortest side of the first triangle is 12 and the measure of the shortest side of the second triangle is 5. If the longest side of the first triangle measures 15, what is the measure of the longest side of the second triangle?
To determine the types of angles formed when two parallel lines are intersected by a transversal, we need to understand the properties of angles and how they relate to parallel lines.
When two parallel lines are cut by a transversal, several types of angles are formed. These angles can be classified into three main categories:
1. Corresponding angles: These angles are formed on the same side of the transversal and at the same positions relative to the two parallel lines. Corresponding angles are always congruent (equal in measure).
2. Alternate interior angles: These angles are formed on opposite sides of the transversal and between the parallel lines. Alternate interior angles are always congruent.
3. Alternate exterior angles: These angles are formed on opposite sides of the transversal and outside the parallel lines. Alternate exterior angles are always congruent.
Based on the properties mentioned above, it is not possible for the two parallel lines cut by a transversal to create vertical angles. Vertical angles are formed when two lines intersect, regardless of whether they are parallel or intersected by a transversal. Vertical angles are always congruent, meaning they have equal measures.
Hence, the answer to your question is that two parallel lines cut by a transversal cannot create vertical angles.