EXAMPLE 3 Write a flow proof In the diagram, CE BD and  CAB CAD. Write a flow proof to show ABE ADE GIVEN CE BD,  CAB CAD PROVE ABE ADE.

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Presentation transcript:

EXAMPLE 3 Write a flow proof In the diagram, CE BD and  CAB CAD. Write a flow proof to show ABE ADE GIVEN CE BD,  CAB CAD PROVE ABE ADE

EXAMPLE 4 Standardized Test Practice

EXAMPLE 4 Standardized Test Practice The locations of tower A, tower B, and the fire form a triangle. The dispatcher knows the distance from tower A to tower B and the measures of A and B. So, the measures of two angles and an included side of the triangle are known. By the ASA Congruence Postulate, all triangles with these measures are congruent. So, the triangle formed is unique and the fire location is given by the third vertex. Two lookouts are needed to locate the fire.

EXAMPLE 4 Standardized Test Practice The correct answer is B. ANSWER

GUIDED PRACTICE for Examples 3 and 4 In Example 3, suppose ABE ADE is also given. What theorem or postulate besides ASA can you use to prove that 3. ABE ADE ? ANSWER AAS Congruence Theorem.

GUIDED PRACTICE for Examples 3 and 4 4. What If? In Example 4, suppose a fire occurs directly between tower B and tower C. Could towers B and C be used to locate the fire? Explain ANSWER No triangle is formed by the location of the fire and towers, so the fire could be anywhere between towers B and C.