Perpendicular Proofs

• Linear Pair Perpendicular Theorem

• Perprendicular Transversal Theorem

• Lines Perpendicular to a Transversal Theorem

• Linear Pair Perpendicular Theorem

• Perprendicular Transversal Theorem

• Lines Perpendicular to a Transversal Theorem

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What is the reason?

• Definition of perpendicular

• Definition of angle

If AC ⊥ BD, then ∠DBC is a right angle.

• Definition of Perpendicular Lines

• Definition of Right Angle

• Angle Addition Postulate

• Segment Addition Postulate

Which quadrilateral has diagonals that are always perpendicular bisectors of each other?

• trapezoid

• parallelogram

• rectangle

• square

Which theorem correctly justifies the statement above the image?

• If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.

• If two lines are perpendicular, then they intersect to form four right angles.

• If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.

• No theorem justifies the statement.

What is the shortest distance between a point and a line?

• The length of the perpendicular segment from the point to the line.

• The length of the parallel segment from the point to the line.

• The circumference of the semi-circle from the point to the line.

• None of the above.

• Linear Pair Perpendicular Theorem

• Lines Perpendicular to a Transversal Theorem

• Corresponding Angles Theorem

• Definition of Congruent Angles

What does the symbol between Line AB and Line CD means?

• Perpendicular Lines

• Parallel Lines

• Congruent Lines

• Similar Lines