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1. Give two equivalent descriptions of what it means to say that ZABC < ZDEF. 2. State the Exterior Angle Theorem (note that we are not assuming P-1) 3. Let A, B, C, and D be four coplanar points such that AD BD CD. Show that A, B, and C are noncollinear.

1. Give two equivalent descriptions of what it means to say that ZABC < ZDEF. 2. State the Exterior Angle Theorem (note that we are not assuming P-1) 3. Let A, B, C, and D be four coplanar points such that AD BD CD. Show that A, B, and C are noncollinear.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Give two equivalent descriptions of what it means to say that ∠ABC < ∠DEF. 2. State the Exterior Angle Theorem (note that we are not assuming P-1). 3. Let \( A, B, C, \) and \( D \) be four coplanar points such that \( \overline{AD} \cong \overline{BD} \cong \overline{CD} \). Show that \( A, B, \) and \( C \) are noncollinear.
Transcribed Image Text:1. Give two equivalent descriptions of what it means to say that ∠ABC < ∠DEF. 2. State the Exterior Angle Theorem (note that we are not assuming P-1). 3. Let \( A, B, C, \) and \( D \) be four coplanar points such that \( \overline{AD} \cong \overline{BD} \cong \overline{CD} \). Show that \( A, B, \) and \( C \) are noncollinear.
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