Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
27 Write a proof arguing from a given hypothesis to a given conclusion. G.G.28 Determine the congruence of two triangles by using one of the five congruence.
Typology: Study notes
1 / 13
This page cannot be seen from the preview
Don't miss anything!
Unit 4: Triangles (Part 1)
Student: Date: Period:
Standards
G.G.27 Write a proof arguing from a given hypothesis to a given conclusion.
G.G.28 Determine the congruence of two triangles by using one of the five congruence techniques (SSS, SAS, ASA, AAS, HL), given sufficient information about the sides and/or angles of two congruent triangles.
rd
Results in 2 segments being congruent (^) Note : DO NOT ASSUME
ANYTHING IF IT IS NOT
IN THE GIVEN
9 Most Common Properties, Definitions & Theorems for Triangles
Prove: ABC EDC
Statement Reason
C is the midpoint of BE and AD
Prove: ABC DEC
Statement Reason
AC bisects BCD
Prove: ABC CDA
Statement Reason
14. Which condition does not prove that two triangles are congruent?
(1) (2) (3) (4)
15. In the diagram of and below, , , and.
Which method can be used to prove?
(1) SSS (2) SAS (3) ASA (4) HL
16. In the accompanying diagram of triangles BAT and FLU , and.
Which statement is needed to prove?
(1) (2) (3) (4)
17. In the accompanying diagram, bisects and.
What is the most direct method of proof that could be used to prove? (1) (2) (3) (4)
18. Complete the partial proof below for the accompanying diagram by providing reasons for steps 3, 6, 8, and 9.
Given: , , , ,
Prove:
Statements Reasons 1 1 Given 2 , 2 Given 3 and are right angles. 3
4 4 All right angles are congruent.
5 5 Given 6 6
7 7 Given 8 8
