1. On a sheet of graph paper, draw scalene acute △ABC. - Draw side BC― of △ABC along a grid line. - Be sure all vertices are placed at the intersection of grid lines. 2. Draw an altitude, AD― of △ABC from point A to BC―. 3. Label the figure you have drawn by indicating cingruent sides, angles, and measures. 4. Reflect △ABC across the line containing BC―. 5. On a separate sheet of graph paper, repeat steps 1-4 with a scalene obtuse △ABC. 6. Discuss with your group the properties of the kites ACAB

Question

1. On a sheet of graph paper, draw scalene acute △ABC.  - Draw side BC― of △ABC along a grid line.  - Be sure all vertices are placed at the intersection of grid lines.  2. Draw an altitude, AD― of △ABC from point A to BC―.  3. Label the figure you have drawn by indicating cingruent sides, angles, and measures.  4. Reflect △ABC across the line containing BC―.  5. On a separate sheet of graph paper, repeat steps 1-4 with a scalene obtuse △ABC.  6. Discuss with your group the properties of the kites ACAB

Joe Walker · Accepted Answer

Scalene traingle:All sides are of different sizes.1. Draw CB=3cm. C(1,0),B(4,0)2. Take point A(2,2), join CA and BA.3. Drop normal AD on AB, D(2,0).4. Calculate CA and AB using Pythagorus theorem.5. Calculate angles C and B using arctan, and angle A using angle sum property.6. Reflect A to A&#039; across CB, Point A′(2,−2).7. Join CA&#039;, BA&#039; and DA&#039;.In case of obtuse triangle. (refer to figure in step 4)1. A(0,2), B(4,0), C(1,0).2. Drop normal AD on extended BC. D(0,0).3. AC=5, Using pythagorus.4. Using cosine formula to calculate AB.AB=AC2+CB2−2⋅AC⋅CB⋅cos⁡∠ACB5. Angle can be found using arctan and angle sum property of traingle.6. Reflect A across CB , such that A&#039;(0,-2).7. Join CA&#039; and BA&#039;.1. In case 1 (acute triangle) AA&#039; and BC are diagonals.In case 2 (obtuse triangle) the diagonal BC is inside the kite ABA&#039;C and diagonal AA&#039; is outside the kite ABA&#039;C.2. In both case the lines CA and CA&#039; are equal to each other and the lines BA and BA&#039; are equal to each other.3. The acute triangle gives convex kite whereas abtuse angle gives concave kite.

1. On a sheet of graph paper, draw scalene acute \triangle ABC. - Draw side \overline{B

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