(a) Given a segment AB. Construct the perpendicular bisector of AB. (Hint: Make
ID: 2973009 • Letter: #
Question
(a) Given a segment AB. Construct the perpendicular bisector of AB. (Hint: Make AB the diagonal of a rhombus) (b) Given a line l and a point P lying on l. Construct the line through P perpendicular to l. (Hint: Make P the midpoint of a segment of l.) (c) Given a line l and a point P not lying on l. Construct the line through P perpendicular to l.(Hint: Construct isosceles triangle ABP with base AB on l and use part (a)). (d) Given a line l and a point P not lying on l. Construct a line through P parallel to l. (Hint: use parts (b) and (c)). (e) Construct the bisecting ray of an angle. (Hint: Use the Euclidean theorem that the perpendicular bisector of the base on an isosceles triangle is also the angle bisector of the angle opposite the base.) (f) Given triangle ABC and segment DE congruent to AB. Construct a point F on a given side of line DE such that triangle DEF is congruent to triangle ABC. (g) Given angle ABC and ray DE. Construct F on a given side of line DE such that angle ABC is congruent to angle FDE.Explanation / Answer
u must take a compass and a scale pencil sharpener and eraser and follow my steps u will get the answer a)draw ab using a scale .take some radius on the compass the radius must be greater than half of length of ab and place the compass on a and draw 2 arcs above ab and below ab ..similarly place compass on b and draw arcs above ab and below ab .u will get 2 points (4 arcs intersect u get one point above ab and 1 below)join the two points u get the perpendicular bisector b)easy , take pl as radius of compass and put the compass on endpoints of l ..and repeat the above procedure u will get a perpendicular through p c)clear from the hint ...construct the triangle and repeat part a u will get this d)u need set squares to draw a parellel line ... draw an isoceles triangle and use set squares to draw a parellel line e)complete the triangle abp such that ap=bp and draw perpendicular bisector of ab from p using part a) that line will be the angle bisector of apb thank you ...plz rate me ... i thought u would not know how to draw if i just put in the picture so wrote down the steps to do them
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