Download Unit 4 Study Guide

Unit 4 Study Guide
Test Date: 3-26-2009
In the first section you will be asked to demonstrate knowledge of the skills seen in your Unit quizzes. The
second section of the test will consist of proofs.
-- There will be two blank proofs, two blank with # of steps provided, and two fill-in-the-blank proofs.
-- Just like on the last test, one part will be an incorrect proof. You will have to identify what is wrong with the
proof and why the steps are wrong. Then, you will have to show the correct way to complete the given proof.
Section 4-1:
Corresponding Parts of Congruent Triangles are Congruent. Be able to identify corresponding parts if you know
triangles are congruent.
Additional Practice: Use pg.160 Chapter Review #1 – 4.
Section 4-2:
SSS Postulate, SAS Postulate, ASA Postulate. Be able to identify if triangles are congruent by those
postulates. You should be able to fill in additional information on diagrams. You can only mark shared
sides congruent, Vertical Angles congruent, or alternate interior angles congruent if lines are parallel.
Additional Practice: Use pg.124 # 1-3, pg.125 # 4 – 15.
Section 4-3:
Be able to use CPCTC within proofs. It should occur only after you have proved triangles congruent. CPCTC will
help to identify additional congruencies or information that could not have been proven unless we knew
the triangles were congruent.
Additional Practice: pg. 130 #2, pg.131 #9
Section 4-4:
Theorem 4-1 and 4-2, detailing sides and angles of isosceles triangles. Be able to incorporate these theorems
within proofs, and be able to apply these theorems with algebra applications.
Additional Practice: pg.146 #1 – 3.
Section 4-5:
AAS Theorem, HL Theorem. Be able to identify if triangles are congruent by those theorems. You should be
able to fill in additional information on diagrams. You can only mark shared sides congruent, Vertical
Angles congruent, or alternate interior angles congruent if lines are parallel.
In order to use HL, the triangles must be right triangles.
Additional Practice: Use pg.142 #1 – 9.
Section 6-4:
Triangle Inequality. Be able to determine if a triangle can be created from the given side lengths. Also, if given
two side lengths, be able to determine the possible lengths of the third side. Be able to identify the longest
and shortest side, when given only angle measurements. And, be able to identify the smallest and largest angle,
when given only side measurements.
Additional Practice: Use pg.222 #1 - 11
Section 4-7:
Angle Bisector, Perpendicular Bisector, Median and Altitude. Be able to construct these on a given triangle.
Then, be able to identify which of the above four are drawn on a triangle.
Additional Practice: Use pg.161 #18 a-c.