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Class 9 Math Practical Geometry _ Triangles


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Class 9Class 10First YearSecond Year
1.ConstructaABCinwhich(iii)mAB=4.8 cm1. Construct a \triangle \mathrm{ABC} in which(iii) \mathrm{m} \overline{\mathrm{AB}}=4.8 \mathrm{~cm}

4. Construct the following \Delta \mathrm{s} \mathrm{XYZ} . Draw their three medians and show that they. are concurrent.(ii) \mathrm{m} \overline{\mathrm{XY}}=4.5 \mathrm{~cm} \mathrm{mYZ}=3.4 \mathrm{~cm} and \mathrm{mZX}=5.6 \mathrm{~cm}
4. Construct the following  \Delta \mathrm{s} \mathrm{XYZ} . Draw their three medians and show that they. are concurrent.(ii)  \mathrm{m} \overline{\mathrm{XY}}=4.5 \mathrm{~cm}   \mathrm{mYZ}=3.4 \mathrm{~cm}   and   \mathrm{mZX}=5.6 \mathrm{~cm}

4.ConstructthefollowingΔsXYZ.Drawtheirthreemediansandshowthatthey.areconcurrent.(ii)mXY=4.5 cmmYZ=3.4 cmandmZX=5.6 cm4. Construct the following \Delta \mathrm{s} \mathrm{XYZ} . Draw their three medians and show that they. are concurrent.(ii) \mathrm{m} \overline{\mathrm{XY}}=4.5 \mathrm{~cm} \mathrm{mYZ}=3.4 \mathrm{~cm} and \mathrm{mZX}=5.6 \mathrm{~cm}

4. Construct a right-angled triangle equal in area to a given square.
4. Construct a right-angled triangle equal in area to a given square.

4.Constructarightangledtriangleequalinareatoagivensquare.4. Construct a right-angled triangle equal in area to a given square.

4. Construct the following \Delta \mathrm{s} \mathrm{XYZ} . Draw their three medians and show that they. are concurrent.(iii) \mathrm{m} \overline{\mathrm{ZX}}=4.3 \mathrm{~cm}
4. Construct the following  \Delta \mathrm{s} \mathrm{XYZ} . Draw their three medians and show that they. are concurrent.(iii)  \mathrm{m} \overline{\mathrm{ZX}}=4.3 \mathrm{~cm}

4.ConstructthefollowingΔsXYZ.Drawtheirthreemediansandshowthatthey.areconcurrent.(iii)mZX=4.3 cm4. Construct the following \Delta \mathrm{s} \mathrm{XYZ} . Draw their three medians and show that they. are concurrent.(iii) \mathrm{m} \overline{\mathrm{ZX}}=4.3 \mathrm{~cm}

5. (Ambiguous Case) Construct a \triangle \mathrm{ABC} in which(ii) \mathrm{m} \overline{\mathrm{BC}}=2.5 \mathrm{~cm} \mathrm{~m} \overline{\mathrm{AB}}=5.0 \mathrm{~cm} \mathrm{~m} \angle \mathrm{A}=30^{\circ} (one \Delta )
5. (Ambiguous Case) Construct a  \triangle \mathrm{ABC}  in which(ii)  \mathrm{m} \overline{\mathrm{BC}}=2.5 \mathrm{~cm}  \mathrm{~m} \overline{\mathrm{AB}}=5.0 \mathrm{~cm}  \mathrm{~m} \angle \mathrm{A}=30^{\circ}   (one  \Delta  )

5.(AmbiguousCase)ConstructaABCinwhich(ii)mBC=2.5 cm mAB=5.0 cm mA=30(oneΔ)5. (Ambiguous Case) Construct a \triangle \mathrm{ABC} in which(ii) \mathrm{m} \overline{\mathrm{BC}}=2.5 \mathrm{~cm} \mathrm{~m} \overline{\mathrm{AB}}=5.0 \mathrm{~cm} \mathrm{~m} \angle \mathrm{A}=30^{\circ} (one \Delta )

1. Construct a \Delta with sides 4 \mathrm{~cm} 5 \mathrm{~cm} and 6 \mathrm{~cm} and construct a rectangle having its area equal to that of the \Delta . Measure its diagonals. Are they equal?
1. Construct a  \Delta  with sides  4 \mathrm{~cm} 5 \mathrm{~cm}  and  6 \mathrm{~cm}  and construct a rectangle having its area equal to that of the  \Delta . Measure its diagonals. Are they equal?

1.ConstructaΔwithsides4 cm5 cmand6 cmandconstructarectanglehavingitsareaequaltothatoftheΔ.Measureitsdiagonals.Aretheyequal?1. Construct a \Delta with sides 4 \mathrm{~cm} 5 \mathrm{~cm} and 6 \mathrm{~cm} and construct a rectangle having its area equal to that of the \Delta . Measure its diagonals. Are they equal?

(viii) The medians of a triangle cut each other in the ratio \ldots \ldots (a) 4: 1 (b) 3: 1 (c) 2: 1 (d) 1: 1
(viii) The medians of a triangle cut each other in the ratio  \ldots \ldots (a)  4: 1 (b)  3: 1 (c)  2: 1 (d)  1: 1

(viii)Themediansofatrianglecuteachotherintheratio(a)4:1(b)3:1(c)2:1(d)1:1(viii) The medians of a triangle cut each other in the ratio \ldots \ldots (a) 4: 1 (b) 3: 1 (c) 2: 1 (d) 1: 1

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