Vocabulary Congruentthe same measurement Constructto create Straightedgeany object you can use to make a straight line Compassan instrument used to create circles or parts of circles Arcpart of a circle that can be drawn with a compass ID: 464630
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Slide1
ConstructionsSlide2
Vocabulary
Congruent-the same measurement
Construct-to createStraightedge-any object you can use to make a straight line
Compass-an instrument used to create circles or parts of circles
Arc-part of a circle that can be drawn with a compassSlide3
Constructing Line Segments
Given: A
line segment and label it
AB
A BSlide4
Constructing Line Segments
Step 1: Use
a straightedge to draw Ray PS so it’s longer than
AB
A B
P SSlide5
Constructing Line Segments
Step 2:Place
the endpoint in the circle of the safety compass at A
and the pencil point on
B
and tighten down. Draw an arc.
A B
P SSlide6
Constructing Line Segments
3Keep
the same setting on the compass and place the point at
P
. Draw an arc that intersects
PS
at a new point
Q. A B
P Q SSlide7
Constructing Congruent Angles
GIVEN: An angle labeled
PQR
P
Q
RSlide8
Constructing Congruent Angles
1-Use
a straightedge to draw Ray ST
P
Q
R
S TSlide9
Constructing Congruent Angles
2- Place
the point in the circle of the safety compass at vertex
Q
. Set your measurement to 2
cm.Draw
an arc that intersects both sides of
PQR to make points X and
Y.
X Q
YSlide10
Constructing Congruent Angles
3- Keeping
the same setting, place the point at S
and draw an arc that intersects
ST
. Label the intersection Point
A.
X
Q Y
S ASlide11
Constructing Congruent Angles
4- Place
the compass so that the point is at X
and first drawing hole is at
Y
. Keep that setting and place the point at
A
. Draw an arc that intersects the arc you drew in Step 3. Label that intersection Point M.
X Q
Y S ASlide12
Constructing Congruent Angles
5-With
the straightedge, draw Ray SM
.
Angle MST
is congruent to
Angle PQR
.Slide13
Bisecting Line Segments
GIVEN a line segment
Step 1- Place the point of the compass at C
. Extend the runner until the first drawing hole is more than halfway to
D
and set it. Draw an arc “above” and “below”
CD
.Slide14
Bisecting Line Segments
2- Keeping
the same setting, place the point on D and draw another arc “above” and another “below” for two new points
Q
and
R
.Slide15
Bisecting Line Segments
3- With
a straightedge, draw the line segment determined by the two new points. This will intersect the original line. Name the intersection Point M
.Slide16
What do you think
bisect
means?What type of angles are formed by perpendicular segments?Slide17
Bisecting Angles
GIVEN-
Angle ABC.Slide18
Bisecting Angles
Step 1- Place
the point of the compass at B and draw an arc that intersects both sides of the angle. Label the points of intersection
X
and
Y
.Slide19
Bisecting Angles
Step 2- Place
the point of the compass at X and move the runner to a length more than halfway to
Y
. Draw an arc in the interior of
Angle ABC
.Slide20
Bisecting Angles
Step 3- Keep
that same setting and place the point at Y and draw an arc that intersects the arc you just drew. Label the intersection
T
.Slide21
Bisecting Angles
Step 4- With
a straightedge, draw Ray BT, this is the bisector of Angle ABC
.