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Leaning Objectives

7-4. Leaning Objectives. To learn about the properties of rectangles, rhombuses, and squares and to apply them while solving problems. 7-4. Vocabulary. 7-4. A rectangle is another special quadrilateral. A rectangle is a quadrilateral with four right angles. 7-4.

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Leaning Objectives

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  1. 7-4 Leaning Objectives To learn about the properties of rectangles, rhombuses, and squares and to apply them while solving problems.

  2. 7-4 Vocabulary

  3. 7-4 A rectangle is another special quadrilateral. A rectangleis a quadrilateral with four right angles.

  4. 7-4 Since a rectangle is a parallelogram, a rectangle “inherits” all the properties of parallelograms.

  5. 7-4 Example 1 A rectangular: JK = 50 cm and JL = 86 cm. Find HM.

  6. 7-4 Example 2 The rectangular gate has diagonal braces. Find HJ.

  7. 7-4 A rhombus is another special quadrilateral. A rhombusis a quadrilateral with four congruent sides. Like a rectangle, a rhombus is a parallelogram. So you can apply the properties of parallelograms to rhombuses.

  8. 7-4

  9. 7-4 Example 3: TVWX is a rhombus. Find TV.

  10. 7-4 Example 4: TVWX is a rhombus. Find mVTZ.

  11. 7-4 Example 5 CDFG is a rhombus. Find CD.

  12. 7-4 Example 6 CDFG is a rhombus. Find the measure. mGCH if mGCD = (b + 3)° and mCDF = (6b – 40)°

  13. 7-4 A square is a quadrilateral with four right angles and four congruent sides.A square is a parallelogram, a rectangle, and a rhombus. So a square has the properties of all three.

  14. 7-4 Helpful Hint Rectangles, rhombuses, and squares are sometimes referred to as special parallelograms.

  15. 7-4 Example 7: Verifying Properties of Squares Show that the diagonals of square EFGH are congruent perpendicular bisectors of each other.

  16. 7-4 Example 8 The vertices of square STVW are S(–5, –4), T(0, 2), V(6, –3) , and W(1, –9) . Show that the diagonals of square STVW are congruent perpendicular bisectors of each other.

  17. 7-4 Example 9

  18. 7-4 Example 10 In rectangle CNRT, CN = 35 ft, and NT = 58 ft. Find each length. 1.TR2.CE

  19. 7-4 Example 11 PQRS is a rhombus. Find each measure. 3.QP4. mQRP

  20. 7-4 Example 12 Classify the special quadrilateral.

  21. 7-4 Example 13 Find the measures of the numbered angles in Rhombus DEFG.

  22. 7-4 Example 14 What is the m ADC and m BCD?

  23. 7-4 Example 15 Find the measures of the numbered angles in rhombus ABCD.

  24. 7-4

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