Exercise 12.2

(1) Write any five man made things which have two lines of symmetry.

Item 1: Rectangle-shaped objectsCircular coinsTriangular signsPentagon shapes - A rectangular door, book, or table has lines of symmetry : one verticaldiagonal line through the center and one line through the center.

Item 2: Playing cardsHexagonal tilesCircular platesTriangular rulers - Standard rectangular playing cards have lines of symmetry running through their center , dividing them horizontally and vertically.

Item 3: I-beam (construction beam)L-shaped bracketT-shaped jointC-shaped clamp - The cross-section of an I-beam used in construction has perpendicularvertical lines of symmetry.

Item 4: Elliptical or oval picture framesCircular mirrorsSquare tilesTriangular windows - An oval-shaped frame has lines of symmetry : one along its longest axis and one along its shortest axis.

Item 5: Barbell weightsDumbbellsCircular weightsSingle weights - A standard barbell with equal weights on both ends has lines of symmetry : one running lengthwise through the bar and one perpendicular through the center.

(2) Write any five natural objects which have two or more than two lines of symmetry.

Here are five natural objects that have two or more than two lines of symmetry:

SnowflakesButterfliesLeavesCrystals - Most snowflakes have lines of symmetry due to their hexagonaloctagonal crystalline structure, creating beautiful symmetrical patterns.

StarfishSea urchinsJellyfishCoral - A typical starfish has lines of symmetry, with each line passing through arm and the center of its body.

FlowersTreesGrassMushrooms - Many flowers like daisies, sunflowers, and roses have multiple lines of symmetry (often 5, 6, or more) that pass through their petals and center.

Spider websSea shellsPearlsSeaweed - Many orb-weaver spider webs display radial symmetry with multiple lines passing through the center.

Orange or citrus fruit slicesApple slicesBanana piecesBerry cross-sections - When cut horizontally, an orange shows multiple lines of symmetry (typically 8-10) passing through its segments and center.

(3) Find the number of lines of symmetry for the following shapes.

(4) Draw the possible number of lines of symmetry.

(a) Equilateral triangle

Lines of Symmetry:

(b) Isosceles triangle

Lines of Symmetry:

(c) Scalene triangle

Lines of Symmetry:

(d) Rhombus

Lines of Symmetry:

(e) Hexagon

Lines of Symmetry: Will Vary06

For the Hexagon given above:

Lines of Symmetry: InfiniteWill Vary0

(5) From the above problem, complete the following table.

(6) A few folded sheets and designs drawn about the fold are given. In each case, draw a rough diagram of the complete figure that would be seen when the design is cut off.

(a)

(b)