1.) the diagonal of a rectangle is 25 meters long and makes an angle of 36 degree with one side of the rectangle. Find the area and the perimeter of the rectangle. 2.) A side of a square is 16 inches. The midpoints of its sides are joined to form an inscribed square. Another is drawn in such a way that its vertices would lie also at the midpoints of the sides of the second square. This process is continued infinitely. Find the sum of the areas of these infinite squares. 3.) A rectangle and a
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point out the different types of geometric figures existing in the surroundings How do the figures differ from each other? What are the things to consider in categorizing the polygons? INPUT Definitions: Polygons Convex and concave Quadrilaterals Rhombus and square Parallelogram and rectangle Trapezoid Trapezium Kite and dart DISCUSSION The above definitions are expounded. The teacher will ask the students to give examples of the polygons that they see in the classroom.
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the extent of 3-5 marks The Question Paper will not have any choice(s) in any of the questions. Weightage S.No. 1 2 Unit No. II III Topic Weightage Algebra (contd.) 3+4 16 [Linear equations in two variables] Geometry (contd.) 1+2+4 38 [Quadrilaterals‚Area‚Circles‚Constructions] Mensuration 1+3+4 Statistics &
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| | |What was our lesson last meeting? |Our previous lesson was all about quadrilaterals. | |Very Good! What is a parallelogram? |A quadrilateral is any four-sided figure which includes the | | |parallelogram‚ rhombus‚ rectangle‚ trapezoid‚ and square. | |
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8th QUADRILATERAL AND PARALLELOGRAM 1. Prove that in a parallelogram‚ the opposite sides are equal and the opposite angles are equal. 2. Prove that diagonals of a rhombus bisect each other at right angles. 3. Two adjacent angles of a parallelogram are as 2:3. Find the measure of each of its angles. 4. Prove that the diagonals of a square are equal and bisect each other at right angles. 5. If an angle of a parallelogram is two-third of its adjacent angle‚ then what is the smallest angle
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Golden Gate Bridge Lead Designers/Engineers. The First proposal for the Golden Gate Bridge came from James Wilkins‚ who at the time was an engineering student. The cost of James Wilkins Bridge was unrealistic at the time which was 100million dollars‚ but none the less it set the bar for other bridge engineers to try to work out a cheaper solution. During this time a young Joseph Strauss had graduated from the University of Cincinnati with a degree in Business and Economics. Joseph was an avid
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between) • RHS (a right angle‚ the hypotenuse and another side) Quadrilaterals can be convex or non-convex. • Convex quadrilaterals have all vertices pointing outwards. • Non-convex (or concave) quadrilaterals have one vertex pointing inwards. Convex All interior angles less than 180° Non-convex One reflex interior angle ■■ Special quadrilaterals Square Rectangle Rhombus Parallelogram Kite Trapezium ■■ The angle sum of any quadrilateral is 360. Polygons can be convex or non-convex. • Convex polygons
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(A) first quadrant (C) third quadrant (B) second quadrant (D) fourth quadrant 2. If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ‚ then which of the following is not true: (A) BC = PQ (B) AC = PR (C) QR = BC (D) AB = PQ ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º‚ then ∠BAC is equal to: (A) 80º (B) 50º (C) 40º (D) 30º The linear equation 3x – y = x – 1 has : (A) A unique solution (B) Two solutions (C) Infinitely many solutions (D)
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02.01 Classifying Triangles Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost. ------------------------------------------------- Top of Form Question 1 (Multiple Choice Worth 2 points) What is the measure of the third angle? 30.5 55 35 149.5 Question 2 (Multiple Choice Worth 2 points) What are two qualities that make an equilateral triangle unique? Three congruent
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A DETAILED LESSON PLAN IN MATHEMATICS V I.Objectives A. Visualize‚ identify and describe 3-4 sided polygons B. Draw 3-4 sided polygons C. Identify different geometric figures D. Observe patience and discipline in doing assigned works E. Work cooperatively and collaboratively in all activities II.Subject Matter Topic: Visualizing 3-4-Sided Polygons Reference: BEC-PELC III.1 Materials: manila paper‚ cartolina‚ marker‚ cut-outs of polygons Strategy: Interactive Teaching Strategy Values:
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