Lines, Angles, & Triangles - SAT Math
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Angles formed by a transversal cutting parallel lines.
Angles formed by a transversal cutting parallel lines.
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Corresponding angles are congruent, alternate interior angles are congruent, and same-side interior angles are supplementary.
Corresponding angles are congruent, alternate interior angles are congruent, and same-side interior angles are supplementary.
Define these types of triangles by their angle measures: acute, right, and obtuse.
Define these types of triangles by their angle measures: acute, right, and obtuse.
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Acute (all $<90^{\circ}$), Right ($=90^{\circ}$), Obtuse (one $>90^{\circ}$).
Acute (all $<90^{\circ}$), Right ($=90^{\circ}$), Obtuse (one $>90^{\circ}$).
Definition of a rectangle.
Definition of a rectangle.
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A parallelogram with four right angles.
A parallelogram with four right angles.
Determine slope of line perpendicular to y = (\t$\frac{1}{2}$)x - 7.
Determine slope of line perpendicular to y = (\t$\frac{1}{2}$)x - 7.
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-2
-2
Find equation of line through (4, 7) parallel to y = -2x + 3.
Find equation of line through (4, 7) parallel to y = -2x + 3.
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$Same slope ⇒ y - 7 = -2(x - 4) ⇒ y = -2x + 15.$
$Same slope ⇒ y - 7 = -2(x - 4) ⇒ y = -2x + 15.$
Formula for midpoint between $(x_1, y_1)$ and $(x_2, y_2)$.
Formula for midpoint between $(x_1, y_1)$ and $(x_2, y_2)$.
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$M = (\tfrac{x_1 + x_2}{2}, \tfrac{y_1 + y_2}{2})$.
$M = (\tfrac{x_1 + x_2}{2}, \tfrac{y_1 + y_2}{2})$.
How can you determine parallel lines in slope-intercept form?
How can you determine parallel lines in slope-intercept form?
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They have the same slope $(m_1 = m_2).$
They have the same slope $(m_1 = m_2).$
How can you determine perpendicular lines in slope-intercept form?
How can you determine perpendicular lines in slope-intercept form?
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Their slopes are negative reciprocals: $m_1 m_2 = -1$.
Their slopes are negative reciprocals: $m_1 m_2 = -1$.
How do you find the midpoint between $(x_1, y_1)$ and $(x_2, y_2)$?
How do you find the midpoint between $(x_1, y_1)$ and $(x_2, y_2)$?
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$((x_1 + x_2)/2, (y_1 + y_2)/2).$
$((x_1 + x_2)/2, (y_1 + y_2)/2).$
How many sides are equal in equilateral, isosceles, and scalene triangles?
How many sides are equal in equilateral, isosceles, and scalene triangles?
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Equilateral (3 equal sides), Isosceles (2 equal sides), Scalene (no equal sides).
Equilateral (3 equal sides), Isosceles (2 equal sides), Scalene (no equal sides).
If a triangle has sides 7, 24, and 25, is it right?
If a triangle has sides 7, 24, and 25, is it right?
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Yes, $7^2 + 24^2 = 49 + 576 = 625 = 25^2$.
Yes, $7^2 + 24^2 = 49 + 576 = 625 = 25^2$.
If two lines are perpendicular, what is the measure of each angle formed?
If two lines are perpendicular, what is the measure of each angle formed?
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$90^{\circ}$.
$90^{\circ}$.
Measure of one interior angle of a regular polygon.
Measure of one interior angle of a regular polygon.
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$\frac{(n - 2)\times180^{\circ}}{n}$.
$\frac{(n - 2)\times180^{\circ}}{n}$.
Properties of a parallelogram.
Properties of a parallelogram.
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Opposite sides and angles are equal; diagonals bisect each other.
Opposite sides and angles are equal; diagonals bisect each other.
Relationship between an inscribed angle and its intercepted arc.
Relationship between an inscribed angle and its intercepted arc.
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An inscribed angle measures half its intercepted arc.
An inscribed angle measures half its intercepted arc.
Sum of angles around a point.
Sum of angles around a point.
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$360^{\circ}$.
$360^{\circ}$.
Sum of angles on a straight line.
Sum of angles on a straight line.
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$180^{\circ}$.
$180^{\circ}$.
Sum of exterior angles of any polygon.
Sum of exterior angles of any polygon.
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$360^{\circ}$.
$360^{\circ}$.
Sum of interior angles of an n-sided polygon.
Sum of interior angles of an n-sided polygon.
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$(n - 2)\times180^{\circ}$.
$(n - 2)\times180^{\circ}$.
What are complementary angles?
What are complementary angles?
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Two angles whose measures add up to $90^{\circ}$.
Two angles whose measures add up to $90^{\circ}$.
What are supplementary angles?
What are supplementary angles?
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Two angles whose measures add up to $180^{\circ}$.
Two angles whose measures add up to $180^{\circ}$.
What are vertical angles?
What are vertical angles?
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Opposite angles formed by two intersecting lines; they are congruent.
Opposite angles formed by two intersecting lines; they are congruent.
What is an altitude of a triangle?
What is an altitude of a triangle?
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A perpendicular segment from a vertex to the opposite side.
A perpendicular segment from a vertex to the opposite side.
What is an angle of depression?
What is an angle of depression?
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The angle formed by a horizontal line and the line of sight looking down.
The angle formed by a horizontal line and the line of sight looking down.
What is an angle of elevation?
What is an angle of elevation?
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The angle formed by a horizontal line and the line of sight looking up.
The angle formed by a horizontal line and the line of sight looking up.
What is the formula for the area of a triangle?
What is the formula for the area of a triangle?
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$A = \tfrac{1}{2}bh$.
$A = \tfrac{1}{2}bh$.
What is the sum of the interior angles of a triangle?
What is the sum of the interior angles of a triangle?
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$180^{\circ}$.
$180^{\circ}$.
What side is opposite the largest angle in a triangle?
What side is opposite the largest angle in a triangle?
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The longest side.
The longest side.
What side is opposite the smallest angle in a triangle?
What side is opposite the smallest angle in a triangle?
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The shortest side.
The shortest side.