2006 Mississippi Math Framework
... (5) Students prove basic theorems about circles, such as a tangent line is perpendicular to a radius, inscribed angle theorem, and theorems about chords, secants, and tangents dealing with segment lengths and angle measures. They study relationships among segments on chords, secants, and tangents as ...
... (5) Students prove basic theorems about circles, such as a tangent line is perpendicular to a radius, inscribed angle theorem, and theorems about chords, secants, and tangents dealing with segment lengths and angle measures. They study relationships among segments on chords, secants, and tangents as ...
m3hsoln2.tex M3H SOLUTIONS 2. 29.10.2016 Q1 (Angle at centre
... ∠OCA = θ, ∠OBA = ϕ. So AB subtends ∠ACB = θ + ϕ at the circumference. In ∆AOC, ∠AOC = π − 2θ (angle sum is π), and similarly ∠BOC = π − 2ϕ. The three angles are O sum to 2π; the two just mentioned sum to 2π − 2θ − 2ϕ. So ∠AOC = 2(θ + ϕ) = 2.∠ACB. // Note that if the chord goes through the centre, th ...
... ∠OCA = θ, ∠OBA = ϕ. So AB subtends ∠ACB = θ + ϕ at the circumference. In ∆AOC, ∠AOC = π − 2θ (angle sum is π), and similarly ∠BOC = π − 2ϕ. The three angles are O sum to 2π; the two just mentioned sum to 2π − 2θ − 2ϕ. So ∠AOC = 2(θ + ϕ) = 2.∠ACB. // Note that if the chord goes through the centre, th ...
Midterm Review Worksheet
... 1. Write a triangle congruence statement and name the postulate or theorem that verifies the congruence. 2. If the measures of two sides of a triangle are 4 and 6, what are all the possible measures of the third side, x? 3. If triangle ABC is congruent to triangle DEF, write all the congruent parts. ...
... 1. Write a triangle congruence statement and name the postulate or theorem that verifies the congruence. 2. If the measures of two sides of a triangle are 4 and 6, what are all the possible measures of the third side, x? 3. If triangle ABC is congruent to triangle DEF, write all the congruent parts. ...