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19.3 ?? (1)

19.3 ?? (1)

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4.4 Prove triangles are congruent by SAS and HL

4.4 Prove triangles are congruent by SAS and HL

4.4 Prove triangles are congruent by SAS and HL. Objective: You will use sides and angles to prove congruence. Side-Angle-Side (SAS) Congruence Postulate.

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EXAMPLE 1

EXAMPLE 1

BC DA , BC AD. ABC CDA. STATEMENTS. REASONS. S. BC DA. Given. Given. BC AD. BCA DAC. A. Alternate Interior Angles Theorem. S. AC CA. Reflexive Property of Congruence. EXAMPLE 1. Use the SAS Congruence Postulate. Write a proof. GIVEN. PROVE. EXAMPLE 1.

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587 views • 12 slides
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????????????????????????. ????????. ??? ??. 19.3 ??. A. D. B. C. E. ???? ?? ????? ?? ? ???????? ??. ??. ?. ?. ?. ??. ?. ?? : ????????????. ???. ???. ???. ???. ???. ???. ????? D ?. A. D. B. C. D. A. C. B. ????. ????. ??. ???????. ????. 1. D. A. E. B.

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EXAMPLE 3

EXAMPLE 3

WYZ XZY. PROVE. Redraw the triangles so they are side by side with corresponding parts in the same position. Mark the given information in the diagram. EXAMPLE 3. Use the Hypotenuse-Leg Congruence Theorem. Write a proof. GIVEN. WY XZ , WZ ZY , XY ZY. SOLUTION. STATEMENTS.

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161 views • 7 slides
EXAMPLE 3

EXAMPLE 3

WYZ XZY. PROVE. Redraw the triangles so they are side by side with corresponding parts in the same position. Mark the given information in the diagram. EXAMPLE 3. Use the Hypotenuse-Leg Congruence Theorem. Write a proof. GIVEN. WY XZ , WZ ZY , XY ZY. SOLUTION. STATEMENTS.

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192 views • 7 slides
Chapter 8: Quadrilaterals

Chapter 8: Quadrilaterals

Chapter 8: Quadrilaterals. 8.3.1 Show that a Quadrilateral is a Parallelogram. How do we determine a quadrilateral is a parallelogram. Same as last section: Opposite sides are congruent Diagonals bisect Opposite angles are congruent Two pairs of parallel sides New to this section:

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191 views • 6 slides
CPCT

CPCT

CPCT. Daniela Soto. Corresponding Parts of Congruent Triangles. It can be used as a justification in a proof, to prove that if every part of a triangle is congruent to every part of another triangle, the two triangles are congruent. 1. Given. 1. EG = DF. E. D. 2. Given. 2. EG || DF.

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393 views • 5 slides

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