Understanding Angles in a Rhombus: Exploring Angle Relationships and Algebra

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This diagram illustrates a rhombus, with a straight line connecting the midpoints of two sides. The task is to determine the size of angle p. After solving for angle p when one angle measures 110°, we explore how changes to this angle (increasing or decreasing it) affect angle p. By relabeling the 110° angle as x, we derive relationships between x and p for various values, such as 120°, 140°, 90°, and 180°. This exercise integrates concepts of angles, proofs, and algebra in understanding polygons.

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May 07, 2026

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Understanding Angles in a Rhombus: Exploring Angle Relationships and Algebra

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The diagram shows a rhombus. The midpoints of two of its sides are joined with a straight line. What is the size of angle p ? Rhombus Teacher's Notes Topic: Angles, Proof, Algebra L7 Solve the original problem, then ... Change 110° - make it bigger ? - make it smaller ? Relabel the 110° angle as x. What if x =120° ? x = 140° ? Can you work out algebra to link x and p? What if x is 90° ? What if x is 180° ?
Rhombus The diagram shows a rhombus. The midpoints of two of its sides are joined with a straight line. What is the size of angle p ?