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Standard VI

Mathematics

Perpendicular Lines and Perpendicular Bisector

Let PQ be the...

Question

Question 2

Let $¯ ¯¯¯¯¯¯ ¯ P Q$ be the perpendicular to the line segment $¯ ¯¯¯¯¯¯¯ ¯ X Y . L e t ¯ ¯¯¯¯¯¯ ¯ P Q a n d ¯ ¯¯¯¯¯¯¯ ¯ X Y$ intersect in the point A. What is the measure of $∠ P A Y$ ?

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Solution

$∠ P A Y = 90^{\circ}$ Since $¯ ¯¯¯¯¯¯ ¯ P Q$ is perpendicular to the line segment $¯ ¯¯¯¯¯¯¯ ¯ X Y$ and perpendicular lines always intersect at $90^{\circ}$

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Given the base angles, say $∠$ B and $∠$ C and BC + CA + AB, construct triangle ABC.

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Perpendicular Lines and Perpendicular Bisector

Standard VI Mathematics

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Question 2 Let ¯¯¯¯¯¯¯¯PQ be the perpendicular to the line segment ¯¯¯¯¯¯¯¯¯XY. Let ¯¯¯¯¯¯¯¯PQ and ¯¯¯¯¯¯¯¯¯XY intersect in the point A. What is the measure of ∠PAY?

∠PAY=90∘ Since ¯¯¯¯¯¯¯¯PQ is perpendicular to the line segment ¯¯¯¯¯¯¯¯¯XY and perpendicular lines always intersect at 90∘

Question 2

Let $¯ ¯¯¯¯¯¯ ¯ P Q$ be the perpendicular to the line segment $¯ ¯¯¯¯¯¯¯ ¯ X Y . L e t ¯ ¯¯¯¯¯¯ ¯ P Q a n d ¯ ¯¯¯¯¯¯¯ ¯ X Y$ intersect in the point A. What is the measure of $∠ P A Y$ ?

$∠ P A Y = 90^{\circ}$ Since $¯ ¯¯¯¯¯¯ ¯ P Q$ is perpendicular to the line segment $¯ ¯¯¯¯¯¯¯ ¯ X Y$ and perpendicular lines always intersect at $90^{\circ}$