Podcast
Questions and Answers
If a quadrilateral has two pairs of parallel sides, which of the following could it be?
If a quadrilateral has two pairs of parallel sides, which of the following could it be?
- Trapezoid
- Rectangle (correct)
- Isosceles Trapezoid
- Kite
The sum of the interior angles of a polygon with 15 sides will be equal to what?
The sum of the interior angles of a polygon with 15 sides will be equal to what?
- $2340^{\circ}$ (correct)
- $1800^{\circ}$
- $2700^{\circ}$
- $3600^{\circ}$
A quadrilateral has all sides equal, but no right angles. Which of the following must it be?
A quadrilateral has all sides equal, but no right angles. Which of the following must it be?
- Trapezoid
- Square
- Rectangle
- Rhombus (correct)
In a triangle, a line segment connecting the midpoints of two sides is parallel to which of the following?
In a triangle, a line segment connecting the midpoints of two sides is parallel to which of the following?
If a polygon has an interior angle sum of $1980^{\circ}$, how many sides does it have?
If a polygon has an interior angle sum of $1980^{\circ}$, how many sides does it have?
Flashcards
Trapezoid
Trapezoid
A quadrilateral with two pairs of parallel sides.
Rhombus
Rhombus
A parallelogram with all four sides equal in length.
Sum of Interior Angles
Sum of Interior Angles
The sum of the interior angles of a polygon is calculated by (n-2) * 180 degrees, where 'n' is the number of sides.
Square
Square
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Midpoint Theorem
Midpoint Theorem
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Study Notes
Quadrilateral Properties
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Quadrilateral ABCD: Vertices A(3, 6), B(9, -2), C(5, -8), and D(-5, -6) form a non-isosceles trapezoid.
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Quadrilateral ABCD: Vertices A(-2, 5), B(1, 8), C(4, 5), and D(1, 2) form a square.
Interior Angle Sum
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A 32-gon has a sum of interior angles equal to (32-2) * 180 degrees.
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A 14-gon has a sum of exterior angles equal to 360 degrees.
Solving for Variables
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Rectangle ABCD: Sides AB = 2x + 4, AD = 4x - 2, DC = yx, BC. Solve for x and y.
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Square ABCD: Sides AB = 2x + 4, CD = 3x - 5. Calculate BC and BD.
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Rhombus ABCD: If ∠BAC = 9x, find x.
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Trapezoid ABCD: Solve for x for a trapezoid.
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Polygon: Solve for x in a polygon with given interior angles.
Geometric Proofs
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Rhombus ACEF: Given AC = BC, prove that AC = BC.
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Rectangle to Square: Given a rectangle ABCD and ∠ABX = ∠XBC, show that ABCD is a square.
Other Problems
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Square Perimeter: A square with perimeter 32 cm has a diagonal length of [calculated value].
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Trapezoid Midpoints: In trapezoid TSRQ, U is the midpoint of TQ, and V is the midpoint of ST. If given values, calculate missing lengths.
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Isosceles Triangle: In rectangle WXYZ, M is the midpoint of WX. Show that triangle ZMY is isosceles.
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