create a procedure to draw a square
Answers
Explanation:
➜Draw a side of the square using ruler. Keep track of the length of this side so you can make all four sides the same length.
➜Considering the side drawn in the previous step as one of the arms, construct a right angle on each end of it. Thus the end points of the side drawn in the previous step would also be the two vertices of these right angles.
➜Mark a point on each of the newly drawn arms (of the two right angles), at a distance (measured from the respective vertex of the right angle) which is same as the length of the side drawn initially.
☞Join these points☜
➜You just drew a perfect square! Erase any extraneous constructions if you so wish.
Answer:
STEPS:
1. Using your straightedge, draw a reference line, if one is not provided.
2. Copy the side of the square onto the reference line, starting at a point labeled A'.
3. Construct a perpendicular at point B' to the line through ab2.
4. Place your compass point at B', and copy the side of the square onto the perpendicular b'g. Label the end of the segment copy as point C.
5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.
6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.
7. Connect points A' to D, D to C, and C to B' to form a square.
square1
Proof of Construction: As a result of the construction of the perpendicular at B', m∠A'B'C = 90º, since perpendicular lines meet to form right angles, and a right angle contains 90º. By copying the segment length of the side of the square, ab2, we have A'B' = B'C = CD = DA'. A figure having four congruent sides and an interior angle which is a right angle, is a square.
Explanation:
Hope it helps
