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Chapter 2: Q6. (page 65)

In the diagram, DE炉鈯�n. Sate the theorem or name the definition that justifies the statement about the diagram.

鈭�7鈮�鈭�10

Short Answer

Expert verified

The name of the theorem which justifies the statement about the given diagram is vertical angle theorem.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Write the vertical angle theorem.

The vertical angle theorem states that the vertical angles are congruent.

03

Step 3. Write the name of the theorem that justifies the statement about the given diagram.

From the given diagram it can be noticed that the angles鈭�7 and鈭�10are vertical angles, therefore the angles鈭�7 and鈭�10 are congruent by using the vertical angle theorem.

Therefore, the name of the theorem that justifies the statement about the given diagram is vertical angle theorem.

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Most popular questions from this chapter

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

P is the midpoint ofGH炉 implies that GH=2PG.

State which postulate, definition, or theorem justifies the statement about the diagram.

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State which definition, postulate, or theorem justifies the statement about the diagram.

m鈭�1+m鈭�2=m鈭�BAC

Justify each step.

3a2=653a=125a=45

State the hypothesis and the conclusion of each conditional.

if
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