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+ - = × ÷ ± / < > ≤ ≥ ≠ ≅ ≈ ∧∨ ∞ √∧. Angle- Side- Angle. Diana Samayoa. Types of Triangles. Scalene Triangle. EquilateralTriangle. Isoceles Triangle. ASA THEOREM. If two angles and their included side are congruent, in two triangles, then are congruent. D. A. F. B. E. C. EXAMPLES.
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+ - = × ÷ ± / < > ≤ ≥ ≠ ≅ ≈ ∧∨ ∞ √∧ Angle- Side- Angle Diana Samayoa
Types of Triangles Scalene Triangle EquilateralTriangle Isoceles Triangle
ASA THEOREM If two angles and their included side are congruent, in two triangles, then are congruent D A F B E C
EXAMPLES EXAMPLES EXAMPLES EXAMPLES EXAMPLES EXAMPLES EXAMPLES
Given: <UXV ≅<WXV Prove: ΔUVX ≅ ΔWVX X U W V
<UXV ≅ <WXV was given. Since <WVX is a right angle that forms a linear pair with <UVX, <WVX ≅ <UVX. Also segment VX ≅ segment VX by the Reflexive Property. Therefore ΔUVX ≅ ΔWVX by ASA
Given: segment AB ≅segment DE, <C ≅<F Prove: ΔABC ≅ ΔDEF F A B E D C
<A and <D are rt <s a. _______________ Given Rt. < ≅Thm. Segment AB ≅segment DE ΔABC ≅ΔDEF b. ______________ d. _________________ c. _______________ Given <A ≅ <D Given <C ≅ <F AAS
Given: <G ≅<K, <J ≅<M, segment HJ ≅segment LM Prove: ΔGHJ ≅ ΔKLM H L G J K M