Download Part I (15 points)

Topics to Review for Chapter 4 Test
Geometry Honors
Part I (15 points)
1-8
Sometimes, Always, Never
 Know how to apply Theorem 23 using perpendicularity, adjacent angles
 Know how to apply Theorem 24 and Theorem 25
 Review the definition of a point is between the other two points
 What are the slopes of parallel lines and perpendicular lines
 What is the product of the slopes of parallel lines? Perpendicular lines?
 What do you know about the two lines if they are crossed by a transversal
 What do you know about the slopes of the legs of an isosceles triangle
 Definition of alternate exterior, alternate interior, and corresponding angles
9-11
True or False based on the given diagram
 Theorem 20 and 21
 Theorem 24, determine perpendicular bisector
 Using the definition of an altitude of a triangle
12-15 Given a diagram, name a pair of alternate exterior, alternate interior, corresponding, vertical, and
exterior/interior angles on the same side of the transversal.
Part II (18 points)
16-21 Calculation problems
 Write an equation of the line with given slope and passes through a given point (algebra
review). Know the types of slopes (positive, negative, zero slope, undefined slope)
 Know how to apply the slope formula to solve for an unknown (Problem 6 on p. 202; Cross
product property, then solve)
 Find the slope of a median of a triangle and an altitude of a triangle (Sample Problem 3 on p.
201; Problem 5 on p. 202)
 Know how to find the slope given two points on a coordinate plane (use rise/run method and
then designate the sign of the slope)
 Know how to apply the midpoint formula to find the coordinates of the other endpoint of a
segment
 Know how to apply the perpendicular bisector of a triangle to solve for x and substitute back to
find the indicated length measure. Hint: what kind of a triangle that has a perpendicular
bisector?
22-24 Given a point P on a coordinate plane, find the coordinates of the image point (Problem 10 on p.
207).
 When P is reflected over the x-axis or y-axis
 When P is slid certain units horizontally and vertically
 When P is rotated 90 degree clockwise or counterclockwise about the origin (Problem 19 on p.
190)
Part III (12 points)
25
Find the measure of each angle after setting up and solving a quadratic equation.
 Review factoring skill or quadratic formula to solve for the unknown.
 Review that supplementary angles = 180.
26
Write a two-column proof
 Detour proof
 Definition of midpoint
 Proving triangles congruent (SSS, SAS, ASA, HL)
 CPCTC
 Theorems (23, 24, 25), properties, definitions