Look at the rhombus in the figure.
What is the relationship between the marked angles?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Look at the rhombus in the figure.
What is the relationship between the marked angles?
Let's remember the different definitions of angles:
Corresponding angles are angles located on the same side of the line that intersects the two parallels and are also situated at the same level with respect to the parallel line they are adjacent to.
Therefore, according to this definition, these are the angles marked with the letter A
Alternate angles are angles located on two different sides of the line that intersects two parallels, and which are also not at the same level with respect to the parallel they are adjacent to.
Therefore, according to this definition, these are the angles marked with the letter B
A - corresponding; B - alternate
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
Corresponding angles are on the same side of the transversal and in the same relative position (both top-left, both bottom-right, etc.). Alternate angles are on opposite sides of the transversal.
A rhombus has opposite sides parallel, so the same angle rules apply! The diagonals act as transversals cutting through these parallel sides, creating the angle relationships.
Understanding these relationships helps you find missing angles and prove geometric properties. In rhombuses, corresponding angles are equal and alternate angles are equal too!
No! Position understanding is crucial. Memorizing without understanding the 'why' will lead to mistakes when angles appear in different orientations or more complex figures.
Look for the line that cuts through both parallel lines. In this rhombus, the dashed lines extending the sides help you see which line is acting as the transversal.
Get unlimited access to all 18 Parallel and Perpendicular Lines questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime