3.4 Construetions: I ean construct parallel and perpendicular lines. Perpendicular Bisector AB Given Construct the perpendicular bisector of AB 1. Choose a compass opening greater than 1/2 of AB and less than the length of AB. Place compass tip at A. braw twe arcs - above and below AB. 2. Using the same compass opening, place compass tip at point B. Drow two arcs obove and below A8 3. Draw the line connecting the intersections of the two arcs. This is the perpendicular bisector of A8. (Can also be used to find the midpoint of A8.) Construct the perpendicular bisector of each of the following line segments. 1. 2. B 4. 3. E

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.4: The Angles Of A Triangle
Problem 6E: Describe the auxiliary line segment as determined, overdetermined, or underdetermined. a) Through...
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3.4 Constructions: I can conetruct parallel and perpendicular lines.
Perpendicular Bisector
Given:
Construct the perpendicular bisector of AR
1. Choese a compass opening greater than 1/2 of AB and
less than the length of AB. Place compass tip at A
Draw twe arcs- abeve and below AR
2. Using the some compass opening, place compass tip at
point B. Drow two arcs- obove and below AB
3. Draw the line connecting the intersections of the two arcs.
This is the perpendicular bisector of A8
(Can also be used to find the midpoint of A8.)
Construct the perpendicular bisector of each of the following line segments.
2.
4.
E
Transcribed Image Text:Page 3.4 Constructions: I can conetruct parallel and perpendicular lines. Perpendicular Bisector Given: Construct the perpendicular bisector of AR 1. Choese a compass opening greater than 1/2 of AB and less than the length of AB. Place compass tip at A Draw twe arcs- abeve and below AR 2. Using the some compass opening, place compass tip at point B. Drow two arcs- obove and below AB 3. Draw the line connecting the intersections of the two arcs. This is the perpendicular bisector of A8 (Can also be used to find the midpoint of A8.) Construct the perpendicular bisector of each of the following line segments. 2. 4. E
Page 8
Parallel Lines
Given
Construct a line porallel to line mcontaining point X.
1. Place point A anywhere on line m braw line XA
2. Place compass tip at paint A and drow an are that intersects
line m and line XA Lobel the intersection point Qwith line XA
Label the intersection point 8 with line m.
3. Using the same compass cpening, place compass tip at paint X
and draw an arc of the same size. Label the intersection point
T(on line XA).
4. Place the compass tip at point B. Adjust the apening so that
the pencil tip is where the arc intersects line XA at point Q
and draw a little arc.
Point X and line m
8. Using the same compass opening, place the campass tip at point T.
Draw an are from this point that intersects the arc you drew in #3.
Label the point of intersection R.
9. Drew ling XR
XR || m
Construct a line parallel to line m at point X in the following problens.
1.
Transcribed Image Text:Page 8 Parallel Lines Given Construct a line porallel to line mcontaining point X. 1. Place point A anywhere on line m braw line XA 2. Place compass tip at paint A and drow an are that intersects line m and line XA Lobel the intersection point Qwith line XA Label the intersection point 8 with line m. 3. Using the same compass cpening, place compass tip at paint X and draw an arc of the same size. Label the intersection point T(on line XA). 4. Place the compass tip at point B. Adjust the apening so that the pencil tip is where the arc intersects line XA at point Q and draw a little arc. Point X and line m 8. Using the same compass opening, place the campass tip at point T. Draw an are from this point that intersects the arc you drew in #3. Label the point of intersection R. 9. Drew ling XR XR || m Construct a line parallel to line m at point X in the following problens. 1.
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