〈1.7.c〉 Practice Problems

[Math Center] 1. A closed rectangular tank contains a certain amount of water. When the tank is placed on its [latex]3[latex] ft by [latex]4[latex] ft side, the height of the water in the tank is [latex]5[latex] ft. When the tank is placed on another side of dimensions [latex]4[latex] ft by [latex]5[latex] ft, what is the […]

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〈1.6.c〉 āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ™ā§āĻ• āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. In the [latex]xy[latex]-plane, the equation of line [latex]k[latex] is [latex]3x-2y=0[latex]. Quantity A Quantity B The [latex]x[latex]-intercept of line [latex]k[latex] The [latex]y[latex]-intercept of line [latex]k[latex]   2. In the [latex]xy[latex]-plane, line [latex]k[latex] is a line that does not pass through the origin. Which of the following statements individually provide(s) sufīŦcient additional information to determine […]

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〈1.5.c〉 Mixed Geometric Shapes

[Math Center] 1. In the īŦgure above, the diameter of the circle is [latex]10[latex]. Quantity A Quantity B The area of quadrilateral [latex]ABCD[latex] [latex]40[latex]   2. For the rectangular solid below, īŦnd the following. (a) Surface area of the solid (b) Length of diagonal [latex]AB[latex]   3. A circle is inscribed in a square with […]

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〈1.4.c〉 āĻŦāĻšā§āĻ­ā§āĻœ āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. Quantity A Quantity B The area of the shaded region [latex]36[latex]   2. In the rectangular solid above, and What is the area [latex]TU=3, UV=4, VR=2[latex]. of the shaded rectangular region?   3. [latex]A, B[latex], and [latex]C[latex] are three rectangles. The length and width of rectangle [latex]A[latex] are [latex]10[latex] percent greater and […]

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〈1.3.c〉 āĻŦā§ƒāĻ¤ā§āĻ¤ āĻāĻŦāĻ‚ āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻŦāĻŋāĻˇā§ŸāĻ• āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1. AB is a diameter of the circle. Quantity A Quantity B The length of [latex]AB[latex] The average (arithmetic mean) of the lengths of [latex]AC[latex] and [latex]AD[latex]   2. In the īŦgure above, [latex]O[latex] and [latex]P[latex] are the centers of the two circles. If each circle has radius [latex]r[latex], what is the area […]

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〈1.2.c〉 āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ¤ā§āĻ°āĻŋāĻ­ā§āĻœ, āĻ¤āĻžāĻĻā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1.   [latex]DFG[latex] is a straight line. What is the value of [latex]x[latex]? A. 12 B. 14 C. 16 D. 18 E. 20 2. If the hypotenuse of an isosceles right triangle is [latex]7\sqrt { 2 }[latex] , what is the area of the triangle? (A) [latex]14[latex] (B) [latex]18[latex] (C) [latex]24.5[latex] (D) [latex]28[latex] […]

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〈1.1.c〉 āĻ•ā§‹āĻ¨, āĻ°ā§‡āĻ–āĻž āĻāĻŦāĻ‚ āĻĻā§‚āĻ°āĻ¤ā§āĻŦ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻĒā§āĻ°ā§āĻ¯āĻžāĻ•āĻŸāĻŋāĻ¸

[Math Center] 1.   In the figure, lines [latex]l[latex] and [latex]m[latex] are parallel. If [latex]y-z = 60[latex], then what is the value of [latex]x[latex] ? (A) [latex]60[latex] (B) [latex]75[latex] (C) [latex]90[latex] (D) [latex]120[latex] (E) [latex]135[latex]   2.   In the figure, [latex]AD[latex] and [latex]BC[latex] are lines intersecting at [latex]O[latex]. What is the value of [latex]a[latex] […]

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〈1.7.a〉āĻ¤ā§āĻ°āĻŋāĻŽāĻžāĻ¤ā§āĻ°āĻŋāĻ• āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻŦāĻ¸ā§āĻ¤ā§ āĻŦāĻŋāĻˇā§ŸāĻ• āĻœā§āĻ¯āĻžāĻŽāĻŋāĻ¤āĻŋāĻ• āĻĒā§āĻ°āĻļā§āĻ¨

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ7〉 3D Objects āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.7.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.7.a〉āĻ¤ā§āĻ°āĻŋāĻŽāĻžāĻ¤ā§āĻ°āĻŋāĻ• āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻŦāĻ¸ā§āĻ¤ā§ āĻŦāĻŋāĻˇā§ŸāĻ• āĻœā§āĻ¯āĻžāĻŽāĻŋāĻ¤āĻŋ: Surface Area The surface area of a three-dimensional shape is the amount of space on the surface of that particular object. Surface area āĻŦāĻž āĻĒā§ƒāĻˇā§āĻ āĻ¤āĻ˛ā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻ•āĻ¤āĻŸā§āĻ•ā§ āĻ¤āĻž āĻŽāĻ¨ā§‡ āĻ°āĻžāĻ–āĻžāĻ° āĻ¸āĻšāĻœ āĻ¨āĻŋā§ŸāĻŽ āĻšāĻ˛ā§‹ āĻ“āĻ‡ āĻŦāĻ¸ā§āĻ¤ā§āĻŸāĻŋāĻ•ā§‡ […]

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〈1.4.a〉 āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻŦāĻšā§āĻ­ā§āĻœ āĻāĻŦāĻ‚ āĻ¤āĻžāĻĻā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ā§‡āĻ° āĻŦāĻŋāĻļāĻĻ āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ4〉 Polygons āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.4.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.4.a〉 āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻŦāĻšā§āĻ­ā§āĻœ āĻāĻŦāĻ‚ āĻ¤āĻžāĻĻā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ā§‡āĻ° āĻŦāĻŋāĻļāĻĻ āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž Introduction Polygons āĻŦāĻž āĻŦāĻšā§āĻ­ā§āĻœ A polygon is defined as a closed shape formed by line segments. Three-sided shapes (Triangles) Four-sided shapes (Quadrilaterals) Other polygons with [latex]n[latex] sides (where [latex]n[latex] is five […]

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〈1.5.a〉 Mixed Geometric Shapes

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ5〉 Mixed Geometric Shapes āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.5.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.5.a〉 Mixed Geometric Shapes (āĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻœā§āĻ¯āĻžāĻŽāĻŋāĻ¤āĻŋāĻ• āĻ•āĻžāĻ āĻžāĻŽā§‹āĻ° āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž) āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻ­ā§‡āĻ¤āĻ°ā§‡ āĻŦāĻ¨ā§āĻĻā§€ āĻšāĻ¤ā§āĻ°ā§āĻ­ā§āĻœ āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻŽāĻ§ā§āĻ¯ā§‡ āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ˛āĻŋāĻ–āĻŋāĻ¤ āĻšāĻ¤ā§āĻ°ā§āĻ­ā§āĻœā§‡āĻ° āĻŦāĻŋāĻĒāĻ°ā§€āĻ¤ āĻ•ā§‹āĻŖāĻĻā§āĻŦā§Ÿā§‡āĻ° āĻ¯ā§‹āĻ—āĻĢāĻ˛ [latex]180[latex]0 āĻšā§ŸāĨ¤ āĻ¯ā§‡āĻŽāĻ¨, āĻ‰āĻĒāĻ°ā§‡ āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻŽāĻ§ā§āĻ¯ā§‡ āĻāĻ•āĻŸāĻŋ āĻšāĻ¤ā§āĻ°ā§āĻ­ā§āĻœ āĻ†āĻāĻ•āĻž āĻšā§Ÿā§‡āĻ›ā§‡, āĻ¯āĻžāĻ° āĻšāĻžāĻ°āĻŸāĻŋ āĻ•ā§‹āĻŖ āĻšāĻ˛ā§‹ [latex]p, q, r, s[latex] āĨ¤ āĻ¤āĻžāĻšāĻ˛ā§‡, […]

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〈1.2〉(b) āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ¤ā§āĻ°āĻŋāĻ­ā§‚āĻœ āĻāĻŦāĻ‚ āĻ¤āĻžāĻĻā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡ (2) Triangle āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.2.b〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.2〉(b) āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ¤ā§āĻ°āĻŋāĻ­ā§‚āĻœ āĻāĻŦāĻ‚ āĻ¤āĻžāĻĻā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ Median āĻŦāĻž āĻŽāĻ§ā§āĻ¯āĻŽāĻž āĻ¤ā§āĻ°āĻŋāĻ­ā§āĻœā§‡āĻ° āĻ¯ā§‡ āĻ•ā§‹āĻ¨ āĻļā§€āĻ°ā§āĻˇ āĻĨā§‡āĻ•ā§‡ āĻŦāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŦāĻžāĻšā§āĻ° āĻŽāĻ§ā§āĻ¯āĻŦāĻŋāĻ¨ā§āĻĻā§āĻ° āĻ¯ā§‹āĻœāĻ• āĻ°ā§‡āĻ–āĻžāĻ•ā§‡āĻ‡ āĻŦāĻ˛ā§‡ āĻŽā§‡āĻĄāĻŋā§ŸāĻžāĻ¨ āĻŦāĻž āĻŽāĻ§ā§āĻ¯āĻŽāĻžāĨ¤ It is the line segment joining any vertex of a triangle with the midpoint […]

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〈1.2 .a〉āĻ¤ā§āĻ°āĻŋāĻ­ā§āĻœ āĻĒāĻ°ā§āĻŦ ā§§āĻƒ āĻ•ā§‹āĻŖ, āĻŦāĻžāĻšā§, āĻĒāĻŋāĻĨāĻžāĻ—ā§‹āĻ°āĻŋā§ŸāĻžāĻ¨ āĻ¸ā§‡āĻŸ, āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻ“ āĻŦāĻŋāĻļā§‡āĻˇ āĻ•ā§‡āĻ‡āĻ¸

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡ (2) Triangle āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.2 .a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.2 .a〉āĻ¤ā§āĻ°āĻŋāĻ­ā§āĻœ āĻĒāĻ°ā§āĻŦ ā§§āĻƒ āĻ•ā§‹āĻŖ, āĻŦāĻžāĻšā§, āĻĒāĻŋāĻĨāĻžāĻ—ā§‹āĻ°āĻŋā§ŸāĻžāĻ¨ āĻ¸ā§‡āĻŸ, āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻ“ āĻŦāĻŋāĻļā§‡āĻˇ āĻ•ā§‡āĻ‡āĻ¸ Introduction: āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻĒāĻ°ā§€āĻ•ā§āĻˇāĻžā§Ÿ āĻœā§āĻ¯āĻžāĻŽāĻŋāĻ¤āĻŋ āĻ…āĻ‚āĻļ āĻĨā§‡āĻ•ā§‡ āĻ¤ā§āĻ°āĻŋāĻ­ā§āĻœ āĻ¸āĻ‚āĻ•ā§āĻ°āĻžāĻ¨ā§āĻ¤ āĻĒā§āĻ°āĻļā§āĻ¨ āĻ¸āĻŦāĻšā§‡ā§Ÿā§‡ āĻŦā§‡āĻļāĻŋ āĻĨāĻžāĻ•ā§‡āĨ¤ āĻ¸āĻŦāĻšā§‡ā§Ÿā§‡ āĻŦā§‡āĻļāĻŋ āĻ—ā§āĻ°ā§āĻ¤ā§āĻŦāĻ°ā§āĻĒā§‚āĻŖ āĻšāĻ˛ā§‹ āĻ¸āĻŽāĻ•ā§‹āĻŖā§€ āĻ¤ā§āĻ°āĻŋāĻ­ā§āĻœ āĻŦāĻž Right triangles (those with a [latex]90[latex]° angle)āĨ¤ […]

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〈1.6.a〉 āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ™ā§āĻ• āĻŦāĻŋāĻˇā§ŸāĻ• āĻœā§āĻ¯āĻžāĻŽāĻŋāĻ¤āĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ6〉Coordinate Geometry āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.6.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.6.a〉 Coordinate Geometry (āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ™ā§āĻ• āĻœā§āĻ¯āĻžāĻŽāĻŋāĻ¤āĻŋāĻ° āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž) Introduction: āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻĒāĻ°ā§€āĻ•ā§āĻˇāĻžā§ŸÂ āĻ–ā§āĻŦ āĻāĻ•āĻŸāĻž coordinate geometry āĻĒā§āĻ°āĻļā§āĻ¨ āĻ†āĻ¸āĻ¤ā§‡ āĻĻā§‡āĻ–āĻž āĻ¯āĻžā§Ÿ āĻ¨āĻžāĨ¤ āĻ¤āĻžāĻ°āĻĒāĻ°ā§‹, āĻ†āĻŽāĻ°āĻž āĻāĻ‡ āĻ…āĻ§ā§āĻ¯āĻžā§Ÿā§‡ āĻ•āĻŋāĻ›ā§ āĻŽā§ŒāĻ˛āĻŋāĻ• āĻŦāĻŋāĻˇā§Ÿ āĻ¨āĻŋā§Ÿā§‡ āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž āĻ•āĻ°āĻŦā§‹ āĻ¯āĻžāĻ¤ā§‡ āĻ¸ā§āĻŸā§āĻĄā§‡āĻ¨ā§āĻŸāĻ°āĻž āĻĒāĻ°ā§€āĻ•ā§āĻˇāĻžā§Ÿ āĻ āĻ§āĻ°āĻŖā§‡āĻ° āĻĒā§āĻ°āĻļā§āĻ¨ āĻĻā§‡āĻ–ā§‡ āĻŦāĻŋāĻĒāĻžāĻ•ā§‡ āĻ¨āĻž āĻĒā§œā§‡āĻ¨āĨ¤ The Coordinate […]

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〈1.3.a〉 āĻŦā§ƒāĻ¤ā§āĻ¤, āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻāĻŦāĻ‚ āĻ…āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ1.3〉 Circle āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.3.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.3.a〉 āĻŦā§ƒāĻ¤ā§āĻ¤, āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻāĻŦāĻ‚ āĻ…āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯ Introduction Circle āĻŦāĻž āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻĒā§āĻ°āĻ¤āĻŋāĻŸāĻŋ āĻŦāĻŋāĻ¨ā§āĻĻā§ āĻāĻ•āĻŸāĻŋ āĻ¨āĻŋāĻ°ā§āĻĻāĻŋāĻˇā§āĻŸ āĻŦāĻŋāĻ¨ā§āĻĻā§ (āĻ•ā§‡āĻ¨ā§āĻĻā§āĻ° āĻŦāĻž center) āĻĨā§‡āĻ•ā§‡ āĻ¸āĻŽāĻžāĻ¨ āĻĻā§‚āĻ°āĻ¤ā§āĻŦ āĻ°ā§‡āĻ–ā§‡ āĻšāĻ˛ā§‡āĨ¤ āĻ¨ā§€āĻšā§‡āĻ° āĻ¯ā§‡ āĻ•ā§‹āĻ¨ āĻāĻ•āĻŸāĻŋ āĻœāĻžāĻ¨āĻ˛ā§‡āĻ‡ āĻŦā§ƒāĻ¤ā§āĻ¤ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•ā§€ā§Ÿ āĻŦāĻžāĻ•ā§€ āĻ¤āĻĨā§āĻ¯āĻ—ā§āĻ˛ā§‹ āĻŦā§‡āĻ° āĻ•āĻ°ā§‡ āĻĢā§‡āĻ˛āĻž āĻ¯āĻžā§ŸāĨ¤ āĻ•) circumference, āĻĒāĻ°āĻŋāĻ§āĻŋ […]

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〈1.1〉(b) āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ°ā§‡āĻ–āĻž, āĻĻā§‚āĻ°āĻ¤ā§āĻŦ āĻāĻŦāĻ‚ āĻ¤āĻžāĻĻā§‡āĻ° āĻ…āĻŦā§āĻ¯āĻ¨ā§āĻ¤āĻ°ā§€āĻŖ āĻ•ā§‹āĻŖ āĻ¸āĻŽā§‚āĻš

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡ (1) Lines and Angels āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.1.b〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.1〉(b) āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ°ā§‡āĻ–āĻž, āĻĻā§‚āĻ°āĻ¤ā§āĻŦ āĻāĻŦāĻ‚ āĻ¤āĻžāĻĻā§‡āĻ° āĻ…āĻŦā§āĻ¯āĻ¨ā§āĻ¤āĻ°ā§€āĻŖ āĻ•ā§‹āĻŖ āĻ¸āĻŽā§‚āĻš Lines and distance Lets discuss some interesting facts about Lines Perpendicular distance The word ‘distance’ always means ‘perpendicular distance’. āĻĻā§āĻ‡āĻŸāĻŋ āĻ¸āĻ°āĻ˛āĻ°ā§‡āĻ–āĻžāĻ° āĻŽāĻ§ā§āĻ¯ā§‡ āĻ…āĻ¸āĻ‚āĻ–ā§āĻ¯ āĻ¸āĻ‚āĻ¯ā§‹āĻœāĻ• āĻ°ā§‡āĻ–āĻž āĻŸāĻžāĻ¨āĻž […]

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〈1.1〉(a) āĻ•ā§‹āĻŖ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻĒā§āĻ°āĻžāĻĨāĻŽāĻŋāĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â (1) Lines and Angels āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.1.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.1〉(a) āĻ•ā§‹āĻŖ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻĒā§āĻ°āĻžāĻĨāĻŽāĻŋāĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž Angles Two lines (āĻ°ā§‡āĻ–āĻž) or line-segments (āĻ°ā§‡āĻ–āĻžāĻ‚āĻļ) are required to form an angle. An angle is represented by [latex]\angle [latex]  sign .[latex]\angle [latex][latex]ABC[latex] is an angle below. Circle A circle has [latex]360[latex]° […]

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