Exam (elaborations)
Geometry Chapter 7 Questions and and answers (1).
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- Chemistry Intro Stuff
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- Chemistry Intro Stuff
Geometry Chapter 7 Questions and and answers (1).
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Geometry Chapter 7area - ✅✅ -The _________ of a region is the number of square units needed to
cover it completely.
A=s² -✅✅-The area of a square is the square of the length of one side:
Area Addition Postulate - ✅✅-If the interiors of two regions do not intersect, then
the area of their union is the sum of their areas.
Congruent Regions Postulate - ✅✅-Congruent regions have the same area.
A = bh - ✅✅-The area of a rectangle is the product of its base and height.
A = bh - ✅✅-The area of a parallelogram is the product of a base and its
corresponding height.
A = 1/2 bh - ✅✅-The area of a triangle is one-half the product of its base and
height.
A = 1/2 h(b₁ + b₂) - ✅✅-The area of a trapezoid is one-half the product of its height
and the sum of the lengths of its base.
A = 1/2 d₁d₂ - ✅✅-The area of a kite is one-half the product of the lengths of its
diagonals.
A = 1/2 d₁d₂ - ✅✅-The area of a rhombus is one-half the product of the lengths of
its diagonals.
a² + b² = c² - ✅✅ -In a right triangle, the sum of the squares of the lengths of the
legs is equal to the square of the length of the hypotenuse.
Converse of the Pythagorean Theorem - ✅✅ -If the sum of the squares of the
lengths of two sides of a triangle equals the square of the length of the third side,
then the triangle is a right triangle.
Corollary of the Pythagorean Theorem - ✅✅ -A triangle with side lengths a, b, and
c; where
a ≤ c and b ≤ c, is an acute triangle if c²< a² + b² and is an obtuse triangle if c²> a² +
b².
45-45-90 Triangle Theorem - ✅✅ -If the length of a leg of an isosceles triangle is "l",
then the length of the hypotenuse is l√2.
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