URGENT GEOMETRY MATH HELP 98 POINTS!!

If someone can draw on these graphs to show me what they're supposed to look like that'd be amazing!

Picture one instructs:
Copy PQ to the line with an endpoint at R

Picture two instructs:
Copy DEF to the line so that S is the Vertex

Picture three instructs:
Constuct a line through R that's perpendicular to the line

Picture 4 instructs:
Construct a line through P that is perpendicular to the line

Picture 5 instucts:
Construct a perpendicular bisector to AB

Question

lilsinger0261 lilsinger0261

21-09-2018
Mathematics

contestada

URGENT GEOMETRY MATH HELP 98 POINTS!!

If someone can draw on these graphs to show me what they're supposed to look like that'd be amazing!

Picture one instructs:
Copy PQ to the line with an endpoint at R

Picture two instructs:
Copy DEF to the line so that S is the Vertex

Picture three instructs:
Constuct a line through R that's perpendicular to the line

Picture 4 instructs:
Construct a line through P that is perpendicular to the line

Picture 5 instucts:
Construct a perpendicular bisector to AB

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zubam2002 zubam2002 · Answer 1 · 2020-02-12T11:24:54+01:00

zubam2002 zubam2002

12-02-2020

Answer:

Geometry construction of lines

Step-by-step explanation: For Pic 1, draw an horizontal line and label P-----Q------R

For Pic 2, draw an isosceles triangle, label horizontal line D--------E------------R and label S at the vertex of the triangle.

For Pic 3, draw horizontal line, then draw vertical line at the middle of the horizontal line and label it R.

For Pic 4, do same as Pic 3, but label it P

For Pic 5, draw horizontal line, label it AB, then draw a vertical, thereby bisecting the horizontal line.

Answer Link

oeerivona oeerivona · Answer 2 · 2021-09-19T15:58:42+02:00

A compass and a straightedge are required to construct a copy of a line, an angle and the perpendicular line to a line

Picture One: To copy PQ to the line with an endpoint at R

The steps to copy the line PQ are;

Place the compass point at P and adjust the width of the compass to point Q to obtain the length PQ on the compass

With the same width obtained above, place the compass point at R and draw an arc to intersect the line passing through R

Label the point of intersection as S. The line segment RS is the copy of PQ

Picture two: The steps to copy angle DEF to line with point S are;

Place the compass point at E and draw an arc that intersects ED and EF at G, and H respectively (the radius of the arc is then EG or EH)

Place the compass point at S and with the radius EG from the previous step, draw an arc to intersect the line passing through S and label the intersection point T forming the arc with radius ST

On the lines with the angle DEF, place the compass at G and adjust the other point to point G, to set the width of the compass to GH

With the compass width set to GH, place the compass point at T and draw an arc with radius GH to intersect arc ST. Label the point of intersection V

Join the points S and V with a line to form the angle VST, which is a copy of DEF

Picture three: To construct a line through point R that's perpendicular to the given line

Place the compass point at R and with a radius length longer than the distance from R to the line, draw an arc intersecting the line at S and T

Place the compass point at S and then at T and with a radius longer than half the length of segment ST, draw arcs to intersect each other on the opposite side of the line from R and label the point D

Join point R to D to complete the construction of the perpendicular from R to the given line

Picture 4: To construct a line through a point P that is perpendicular to the given line line

The steps are;

Place the compass point at P and draw arcs intersecting the line at A and C

From points A and C draw arcs that intersect each other on the side of the line where the perpendicular line is needed, and label the intersection point as point D

Draw a line from point D through the given point P, to complete the construction of the line through P that is perpendicular to the line

Picture 5: The steps to construct a perpendicular bisector to line AB are;

Place the compass point at A and with a width of more than half the length of AB, draw an arc on both sides of the line segment AB

Place the compass point at B and draw two arcs to intersect the first and second arc on both sides of the line. Label the points of intersection of the arcs as the points D and E

With a line join points D to E to complete the construction of the perpendicular bisector of the line AB

Learn more about constructions using a compass here:

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