Download Unit 1 Test Study Guide

I.
Unit 2 Test Study Guide
Policies and Procedures (~5%)
a. Required supplies
b. Late work policy
c. Written instructions for wiki (online and on handout)
II.
Building blocks in the plane (~10%)
a. Properties of collinear and non-collinear points
b. Notation for points, rays, segments, and lines
c. Intersections of lines and planes
III.
Logic (~10%)
a. Writing Conditional, Converse, Inverse, Contrapositive, Biconditional
b. Applying logical equivalency
IV.
Angle Properties and Measurements (~35%)
a. Notation for angles
b. Applying Vertical Angle Theorem to find congruent angles
c. Applying properties of complementary and supplementary angles for
solve for unknowns
d. Applying properties of angle bisectors
e. Constructions of copies of angles and bisected angles, and
combinations of these
V.
Parallel and perpendicular lines (~20%)
a. Properties of angles formed by parallel lines and transversals
b. Slopes & equations of parallel, perpendicular, and intersecting lines
(and perpendicular bisectors)
c. Constructions of parallel and perpendicular lines
VI.
Finding the locus of points that satisfy a certain condition (~5%)
VII.
Measurement of Segments (~15%)
a. Finding & applying midpoints (1-D and on Cartesian plane)
b. Finding distance between 2 points (1-D and on Cartesian plane)
c. Constructions: copying segments, adding/subtracting, and midpoints
d. Find the ratio of two line segments
PRACTICE PROBLEMS
1.) Are the points (4, 7), (9, 17), and (-4, -7) collinear? If so, find their
equation. If not, show why not.
2.) (True or False?) If two planes, M and N, are perpendicular, then a given line
in Plane M is ALWAYS perpendicular to a given line in Plane N that passes
through their point of intersection.
3.) The intersection of two perpendicular planes is a _______________.
4.) Write a statement that is logically equivalent to: “If a point is equidistant
from the endpoints of a segment, then that point is on the perpendicular
bisector of the segment.”
5.) Given that A,E, and B are collinear, C,I, and D are collinear, F, H, and E are
collinear, and E, I, and G are collinear, and lines AB and CI are parallel, find
the measures of all other angles.
6.) The graph of 2x + 6y = 4 passes through the point (a, 2). Find the value of a.
7.) Find the point of intersection of the lines: y=3x-2 and y-6=-2(x+4)
8.) The locus of points equidistant from a point is a ______________.
9.) The locus of points equidistant from the two endpoints of a segment is
________________________.
10.) Find the midpoint of the segment AB, where A: (-3, 7) and B: (9, -4)
11.) Find the distance between A and B (from above)
12.) Construct a square with side length equal to this segment: _______________
13.) The midpoint of a segment AB is M: (-2, 6). A is at: (7, 10). What are the
coordinates of B?
14.) Write the equation of the line that represents the locus of points 5 units
above the x-axis.
ANSWERS