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To prove triangles are congruent by the Hypotenuse-Leg (HL) theorem, you need to establish that both triangles have a right angle, and that the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of the other triangle, respectively. An additional congruence statement that could be used is that the lengths of the hypotenuses of both triangles are equal, along with confirming that one leg in each triangle is also equal in length. This information is sufficient to apply the HL theorem for congruence.

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Why cant you have SSA be a proof of triangle congruence?

SSA (Side-Side-Angle) cannot be a proof of triangle congruence because it does not guarantee that the two triangles formed are congruent. The angle can be positioned in such a way that two different triangles can have the same two sides and the same angle, leading to the ambiguous case known as the "SSA ambiguity." This means two distinct triangles could satisfy the SSA condition, thus failing to prove congruence. Therefore, other criteria like SSS, SAS, or ASA must be used for triangle congruence.


If abcdef If so name the congruence postulate that applies?

If you are referring to the congruence of triangles formed by segments labeled as "a," "b," "c," "d," "e," and "f," the applicable postulate would depend on the specific relationships between these segments. For example, if two triangles share two sides and the included angle, you could apply the Side-Angle-Side (SAS) Congruence Postulate. Alternatively, if they have three sides of equal length, you would use the Side-Side-Side (SSS) Congruence Postulate. More details about the relationships would help clarify which postulate applies.


Is the statement -13 -5 true or false?

-8


What is a mathematical statement that compares the values of quantities?

It could be an equation or inequality.


What is a logic argument?

A logic argument is a statement of logic. The term "argument" means a statement that could be true or false. A Statement that has not been tested as true or false is known as a theory. Logic is the term meaning the structure of an argument or statement and how it applies in its use.

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Why is goal congruence important to an organization?

so that both the employee and the organization could work efficiently and effectively


What is Madison saying?

To provide an accurate answer, I would need more context about who Madison is and what specific situation or statement you are referring to. Could you please provide additional details?


Why cant you have SSA be a proof of triangle congruence?

SSA (Side-Side-Angle) cannot be a proof of triangle congruence because it does not guarantee that the two triangles formed are congruent. The angle can be positioned in such a way that two different triangles can have the same two sides and the same angle, leading to the ambiguous case known as the "SSA ambiguity." This means two distinct triangles could satisfy the SSA condition, thus failing to prove congruence. Therefore, other criteria like SSS, SAS, or ASA must be used for triangle congruence.


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why HIJ KLM (Apex)?

HA AAS


What is a seemingly contradictory statement?

A seemingly contradictory statement is a statement that appears to be self-contradictory or logically inconsistent upon first examination, but may be interpreted differently upon closer analysis or with additional context. An example could be "less is more" which seems contradictory at first, but can make sense when considering minimalism or simplicity.


If abcdef If so name the congruence postulate that applies?

If you are referring to the congruence of triangles formed by segments labeled as "a," "b," "c," "d," "e," and "f," the applicable postulate would depend on the specific relationships between these segments. For example, if two triangles share two sides and the included angle, you could apply the Side-Angle-Side (SAS) Congruence Postulate. Alternatively, if they have three sides of equal length, you would use the Side-Side-Side (SSS) Congruence Postulate. More details about the relationships would help clarify which postulate applies.


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why LMN OPQ (Apex)?

LA AAS [APEX]


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF KLM (Apex)?

LA and SAS [APEX]


Which of the following is true of a thesis statement?

a;; of the above are correct.


What is implied here?

To provide an accurate response, I would need more context or details about what specific situation or statement you are referring to. Could you please provide additional information or clarify what you mean by "what is implied here"?


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF JKL (Apex)?

LA ASA AAS [APEX]


What completes this statement?

Could you please provide the statement you would like completed?