5 lesson 3 rectangles, rhombi, and squares
- 1. Name the parts of the given Parallelogram. M A S K1) 4 vertices 2) 4 angles 3) 4 sides 4) 2 diagonals 5) 2 pairs of opposite sides 6) 2 pairs of opposite angles 7) 4 pairs of consecutive sides
- 3. QUADRILATERAL No Special Properties Two pairs of parallel sidesPARALLELOGRAM RECTANGLE RHOMBUS SQUARE 4 right Angles 4 equal sides 4 right angles and 4 equal sides
- 4. RECTANGLES › Has 4 right angles (equiangular). › Opposite sides are equal. › The diagonals are equal.
- 5. Find the measure of each segment. Given: KNOW is a rectangle. WO = 20, SN = 12 1) WS 2) WN 3) KS 4) SO 5) KO 6) KN K N OW S
- 6. Find the measure of each angle. Given: PQRS is a rectangle. ∠𝑆𝑃𝑇 = 64⁰ 1. ∠𝑆𝑃𝑄 2. ∠𝑇𝑃𝑄 3. ∠𝑃𝑆𝑇 4. ∠𝑆𝑇𝑃 5. ∠𝑆𝑅𝑇 6. ∠𝑇𝑅𝑄 7. ∠𝑆𝑇𝑅 8. ∠𝑇𝑆𝑅 P Q RS T
- 7. RHOMBUS › Has 4 equal sides (equilateral). › Opposite sides are equal. › The diagonals bisect the four angles of the rhombus. › The diagonals are perpendicular to each other.
- 8. Find the measure of each segment or angle. Given: ABCD is a rhombus. AC = 8, AB = 7, DE = 6, ∠𝐴𝐵𝐶 = 70⁰ 1) EB 5) ∠𝐴𝐷𝐶 2) EC 6) ∠𝐴𝐷𝐸 3) BC 7) ∠𝐵𝐸𝐶 4) DC 8) ∠𝐵𝐸𝐶 A B CD E
- 9. SQUARE › Has 4 equal sides (equilateral). › Has 4 equal angles (equiangular). › The diagonals bisect the four angles of the rhombus. › The diagonals are perpendicular to each other. › The diagonals are equal.
- 10. Find the measure of each segment or angle. Given: SAVE is a Square. SE = 10, SV = 14 1) EA 2) SR 3) ∠𝑅𝑉𝐴 4) ∠𝐸𝑅𝑉 5) ∠𝐸𝑅𝑆 6) ∠𝑆𝐸𝑉 E S A V R
- 11. Properties of a Rectangle, Rhombus, and Square Property Rectangle Rhombus Square -Has all the properties of a parallelogram -Equiangular (4 right angles) -Equilateral (4 equal sides) -Diagonals are equal -Diagonals bisect opposite angles -Diagonals are perpendicular
- 12. Write TRUE if the statement is correct and FALSE if it is incorrect. 1) Any quadrilateral with three right angles is a rectangle. 2) Any parallelogram with one right angle a rectangle. 3) Every square is a parallelogram. 4) Every rhombus is a square. 5) Every parallelogram is a rhombus. 6) Every rhombus is a rectangle. 7) Every equilateral quadrilateral is a rhombus. 8) If one angle of a rhombus is a right angle, then the rhombus is a rectangle.