Download Ch 3 Review Sheet Key

Ch 3 Review Sheet Key.doc KEY
Name ___________________________
Chapter 3 Review
1. When you draw a geometric figure, what
tools do you use? How do you mark the
diagram?
2. When you do a geometric construction,
what tools do you use? How do you mark
the diagram?
Use a ruler and protractor.
Label with the measures.
Use a compass and straight edge. Arc marks
only.
Triangles: Place answers on the given segments or rays at the bottom of each box.
3a. Construct equilateral triangle ABC
with side length AB.
3b. Construct ∆ NOP given the segments.
N
P
O
N
P
A
O
B
3c. Draw and/or construct ∆ NOP given
the segments and angle.
N
N
P
O
N
Your answers MUST be an EXACT match!
N
N
Page 1 of 6
Ch 3 Review Sheet Key.doc KEY
Name ___________________________
In part a., write the definition and any properties you learned about the given figure.
4b. Construct the perpendicular bisector of
4a. Perpendicular bisector:
A line that is perpendicular to a segment and
cuts the segment into two equal segments.
Every point on the perpendicular bisector of a
segment is equidistant from the endpoints of
the segment.
BA . Label the midpoint M.
A
B
If a point is equidistant from the endpoints of
a segment, then it is on the perpendicular
bisector of the segment.
4c. Draw the perpendicular bisector of
BA . Label the midpoint M.
4d. Find the point that is equidistant from the
three towns. State the property you are
applying.
A
B
Every point on the perpendicular bisector of a
segment is equidistant from the endpoints of
the segment.
Your answer MUST be an EXACT match!
Find a point P that is equidistant from points
A and B. Show that it is equidistant.
B
Point P can go anywhere on the perpendicular
bisector.
A
C
Page 2 of 6
Ch 3 Review Sheet Key.doc KEY
Name ___________________________
In part a., write the definition and any properties you learned about the given figure.
5. Define: The distance from a point to a line.
The distance from a point to a line is the
length of the perpendicular segment from the
point to the line.
6a. Angle bisector:
A ray that divides an angle into two
congruent angles.
Every point on the angle bisector is
equidistant from the sides of the angle.
If a point is equidistant from the sides of the
angle, then it is on the angle bisector.
Your answer MUST be an EXACT match!
6c. Find the point that is equidistant from the
roads that connect the three towns. State
the property you are applying.
6b. Draw the angle bisector of ∠ PQR .
Every point on the angle bisector is
equidistant from the sides of the angle.
Name it QA . Show that point A is
equidistant from the sides of the angle.
Your answer MUST be an EXACT match!
B
P
X
A
A
Q
Y
R
C
Page 3 of 6
Ch 3 Review Sheet Key.doc KEY
Name ___________________________
In part a., write the definition and any properties you learned about the given figure.
Your answers MUST be an EXACT match!
7a. Altitude:
7b. Draw altitudes AD , EB and CG .
A segment that goes from a vertex
perpendicular to the line that contains the
opposite side.
B
Altitudes can be located inside, outside and/or
on the triangle.
C
A
Quadrilaterals: Place answers on the given rays at the bottom of each box.
8a. Draw and/or construct rectangle NOEP
given the segments.
N
N
N
8a. Draw and/or construct rhombus NOEP
given the segment and angle.
N
P
P
N
O
N
Page 4 of 6
Ch 3 Review Sheet Key.doc KEY
Parallel Lines:
Name ___________________________
Various answers on all of these drawings.
9a. What properties can you use to draw
parallel lines?
9b. Draw a line PT parallel to AB by
using corresponding angles.
If the corresponding angles are congruent,
then the lines are parallel.
If the alternate interior angles are congruent,
then the lines are parallel.
If the same-side interior angles are
supplementary, then the lines are parallel.
9c. Draw a line PT parallel to AB by
using alternate interior angles.
9d. Draw a line PT parallel to AB by
using same-side interior angles.
Page 5 of 6
Ch 3 Review Sheet Key.doc KEY
Name ___________________________
Misc: Place answers on the given rays at the bottom of each box.
Your answers MUST be an EXACT match!
10a. Draw right isosceles triangle RGT
with right angle T and legs measuring 3
cm. Draw angle bisector RA .
9b. Draw obtuse isosceles triangle OBT with
obtuse angle B which measures 140
degrees and legs measuring 3 cm. Draw
angle bisector OA .
10c. Draw square SQRE with diagonal QE
measuring 4 cm.
10d. Construct ∆ ABE where AB = 4 cm,
BE = 5 cm and EA = 3 cm. What type of
triangle did you construct? Find all of
the altitudes of ∆ ABE .
Page 6 of 6