Properties and Theorems of Rhombuses, Rectangles, and Squares
Explore the properties and theorems related to rhombuses, rectangles, and squares in geometry. Discover how diagonals behave in rhombuses and rectangles, understand angle measures, and calculate diagonal lengths in rectangles. Enhance your knowledge of special parallelograms with engaging problem-solving scenarios.
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Presentation Transcript
6-4 Properties of Rhombuses, Rectangles, and Squares
Theorem 6-13 If a parallelogram is a rhombus, then its diagonals are perpendicular
Theorem 6-14 If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles
Problem 2: Finding Angle Measures What are the measures of the numbered angles in rhombus ABCD?
What are the measures of the numbered angles in rhombus PQRS?
Theorem 6-15 If a parallelogram is a rectangle, then its diagonals are congruent
Problem 3: Finding Diagonal Length In rectangle RSBF, ?? = 2? + 15 and ?? = 5? 12. What is the length of a diagonal?
