Note:  No calculators will be allowed for this exam.

For Exam II, you should be able to:

Section 9-5:  Networks

• Identify vertices and arcs in a network.
• Determine whether a network is traversable.
• Sketch a network with the requested properties.

Section 10-1:  Congruence through Constructions

• Understand the difference between congruent and similar objects.
• Define congruent segments and congruent angles.
• Construct a circle of a given radius using only a compass.  (Quiz #4)
• Identify an arc of a circle, its center, a minor arc, a major arc, and a semicircle.
• Construct congruent segments using only a compass and straightedge.  (Construction #1)
• Define congruent triangles.
• Use CPCTC (corresponding parts of congruent triangles are congruent) to show congruencies.
• Use SSS to show triangles are congruent.
• Construct a triangle given three appropriate side lengths using only a compass and straightedge.  (Construction #2)
• Use the Triangle Inequality to determine whether given segments can form a triangle.  (Construction #3)
• Construct congruent angles (copy an angle) using only a compass and straightedge.  (Construction #4)
• Identify an included angle of a triangle.
• Use SAS to show triangles are congruent.
• Define the perpendicular bisector of a segment.
• Define the altitude of a triangle.
• Understand and use the properties of an isosceles triangle (pg 571, Thm 10-1).
• Understand and use the properties of the perpendicular bisector of a segment (pg 571, Thm 10-2).
• Construct the perpendicular bisector of a segment (isosceles triangle method) using only a compass and straightedge.  (Construction #5)
• Construct a circle circumscribed about a triangle using only a compass and straightedge.  (Construction #6)
• Understand why the perpendicular bisector of a segment is used to find the circumcenter (center of a circle circumscribed about a figure) of a circumscribed circle.
• Construct a rhombus using only a compass and straightedge.  (Construction #7)
• Bisect a segment (rhombus method) using only a compass and straightedge.  (Construction #8)
• Identify the property of the rhombus used to bisect the segment.
• Construct a 60-degree angle (equilateral triangle method) using only a compass and staightedge.  (Construction #9)
• Find the center of a given circle.

Section 10-2:  Other Congruence Properties

• Use ASA to show triangles are congruent.
• Use AAS to show triangles are congruent.
• NOTE:   There is no SSA property!!
• Identify and use all properties of the trapezoid, parallelogram, rectangle, kite, rhombus, and square (Table 10-1, pgs 579-580).

Section 10-3:  Other Constructions

Note: All constructions are to be done using only a compass and straightedge.

• Construct parallel lines using either the rhombus method (Construction #10) or corresponding angles.
• Identify the property of the rhombus used to construct parallel lines.
• Define an angle bisector.
• Construct an angle bisector using the rhombus method.  (Construction #11)
• Identify the property of the rhombus used to construct an angle bisector.
• Use angle bisection and combinations of other angles to construct angles with measures other than 60 degrees (30-degree, 15-degree, 45-degree, 75-degree, etc.).
• Construct a perpendicular to a line from a point not on the line using the rhombus method.  (Construction #12)
• Identify the property of the rhombus used to construct the perpendicular.
• Construct a perpendicular to a line from a point on the line using the rhombus method.  (Construction #13)
• Identify the properties of the rhombus used to construct the perpendicular.
• Construct an altitude of a triangle using the rhombus method.
• Identify the property of the rhombus used to construct the altitude.
• Understand and use the properties of an angle bisector (pg 589, Thm 10-3).
• Understand what it means for a segment or line to be tangent to a circle.
• Construct a circle inscribed in a triangle.  (Construction #14)
• Understand why the angle bisector is used to find the incenter (center of a circle inscribed in a figure) of the inscribed circle.
• Understand why a perpendicular to a segment through the incenter is used to find the length of the radius of the inscribed circle.