If $$AB = 3x + 2$$ , $$BC = 2x - 1$$ , and $$AC = 5x + 1$$ , how do you verify the Segment Addition Postulate?

Set up the equation: $$3x + 2 + 2x - 1 = 5x + 1$$ and solve for $$x$$ .

If $$\text{m}\\angle ABC = 30^\text{circ}$$ and $$\text{m}\\angle CBD = 45^\text{circ}$$ , what is $$\text{m}\\angle ABD$$ ?

$$\text{m}\\angle ABD = 75^\text{circ}$$ .

What is the definition of vertical angles?

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

What is the definition of complementary angles?

Complementary angles are two angles whose measures add up to $$90^\text{circ}$$ .

What is the definition of supplementary angles?

Supplementary angles are two angles whose measures add up to $$180^\text{circ}$$ .

What is the relationship between parallel lines and angles?

When a transversal crosses parallel lines, it creates corresponding angles that are equal and alternate interior angles that are equal.

What is the definition of adjacent angles?

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

What is the definition of a linear pair?

A linear pair is a pair of adjacent angles formed when two lines intersect. The angles in a linear pair are supplementary.

What is the purpose of a proof in geometry?

The purpose of a proof in geometry is to provide a logical argument that establishes the truth of a geometric statement.

What is the significance of theorems in geometry?

Theorems are statements that have been proven based on previously established statements, such as axioms and other theorems.

Segment and Angle Proofs Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Angle Addition Postulate?

Back

Tags

CCSS.4.MD.C.7

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.G.B.5

3.

FLASHCARD QUESTION

Front

In a two-column proof, what is typically found in the left column?

Back

The left column contains the 'Statements' of the proof.

4.

FLASHCARD QUESTION

Front

What is the Segment Addition Postulate?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is a two-column proof?

Back

A two-column proof is a method of proving statements in geometry where one column lists statements and the other lists corresponding reasons.

Tags

CCSS.7.G.B.5

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.4.MD.C.7

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