Math 2: Algebra 2, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
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Detour Proofs Practice Directions: Designate a reader in your group and have him or her read the following out loud. “Sometime in order to prove that two triangles are congruent, you must first prove that a different set of triangles are congruent, then use CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to prove that the desired triangles are congruent.” “The flowchart below shows the ‘flow’ of one such proof. Read through the flowchart, then use it to write the proof in statement reason form.” This means that angle MST is straight. !!!! ≅ 𝐻𝑆
!!!! 𝐴𝑆
!!!!! ≅ 𝑀𝐻
!!!!! 𝑀𝐴
!!!!
𝑀𝑆 ≅ !!!!
𝑀𝑆 ∆𝑀𝐴𝑆 ≅ ∆𝑀𝐻𝑆 ∠ 𝑀𝑆𝐻
≅ ∠𝑀𝑆𝐴 !!
!! ≅ !!
!! 𝑆𝑇
𝑆𝑇
∠ 𝐴𝑆𝑇 ≅ ∠𝐻𝑆𝑇 ∆𝐴𝑆𝑇 ≅ ∆𝐻𝑆𝑇 ∠𝐴𝑇𝑆 ≅ ∠𝐻𝑇𝑆 !!!!!
𝑀𝑇 𝑏𝑖𝑠𝑒𝑐𝑡𝑠 ∠𝐴𝑇𝐻 !!!! ≅ 𝐻𝑆
!!!! 𝐴𝑆
Math 2: Algebra 2, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
Directions: Work with your group to write the following detour proofs. Use Statement Reason format. Hints: • You may wish to begin with a flowchart (it need not be as complete as the one above) • You must mark up each diagram and write your proofs on A SEPARATE SHEET OF PAPER!!! • When triangles are overlapping, you should always draw them separately. Whatever you do not finish in class, you must finish for homework. Math 2: Algebra 2, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date: