Podcast
Questions and Answers
Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU?
Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU?
- Expression A
- Expression C (correct)
- Expression D
- Expression B
What is the perimeter of parallelogram WXYZ?
What is the perimeter of parallelogram WXYZ?
- Option B (correct)
- Option D
- Option A
- Option C
How do the areas of the parallelograms compare?
How do the areas of the parallelograms compare?
- Option D
- Option B
- Option C
- Option A (correct)
What is the area of triangle RST?
What is the area of triangle RST?
What is the perimeter of parallelogram WXYZ if WZ=√26?
What is the perimeter of parallelogram WXYZ if WZ=√26?
What is the area of rhombus WXYZ?
What is the area of rhombus WXYZ?
What is the perimeter of kite KLMN with coordinates N(3,4), M(2,3), K(5,3), L(3,2)?
What is the perimeter of kite KLMN with coordinates N(3,4), M(2,3), K(5,3), L(3,2)?
What are the dimensions of the rectangle that Galina should draw for her triangle RST?
What are the dimensions of the rectangle that Galina should draw for her triangle RST?
HIJK is a parallelogram because the midpoint of both diagonals is __________.
HIJK is a parallelogram because the midpoint of both diagonals is __________.
What is the perimeter of square ABCD with coordinates D(-3,5), A(3,4), C(-4,-1), B(2,-2)?
What is the perimeter of square ABCD with coordinates D(-3,5), A(3,4), C(-4,-1), B(2,-2)?
If the area of BXYC is 71.5 square units, what is the area of parallelogram ABCD?
If the area of BXYC is 71.5 square units, what is the area of parallelogram ABCD?
What is the approximate distance from Y to Y' after triangle XYZ is reflected over its hypotenuse?
What is the approximate distance from Y to Y' after triangle XYZ is reflected over its hypotenuse?
What is the perimeter of rhombus WXYZ?
What is the perimeter of rhombus WXYZ?
Which statement proves that PQRS is a parallelogram?
Which statement proves that PQRS is a parallelogram?
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Study Notes
Area Calculations
- To determine the area of a parallelogram, one effective method involves enclosing it within a rectangle and subtracting the area of the triangular sections outside the parallelogram.
- The area of triangle RST needs to be calculated, which is crucial for certain area comparisons in geometric figures.
Perimeter Measurements
- The perimeter of parallelograms can be determined using the lengths of their sides, and for parallelogram WXYZ, relevant side lengths must be identified.
- For kite KLMN, calculating the perimeter requires the coordinates of its vertices to determine the lengths of its sides.
- Square ABCD's perimeter is calculated based on the coordinates of its vertices, considering the distance formula.
Properties of Geometric Shapes
- Parallelogram HIJK is confirmed by the fact that both diagonals bisect each other, as evidenced by their midpoints being the same.
- The area of figure BXYC within parallelogram ABCD is given, allowing for the computation of the total area of ABCD based on additional geometric relationships.
Geometry of Reflections
- A kite is formed by reflecting triangle XYZ over its hypotenuse; understanding the distance from point Y to the reflected point Y' is essential for assessing the symmetry and dimensions of the kite.
Coordinate Geometry
- For rhombus WXYZ, both area and perimeter can be derived from its graphical representation on a coordinate plane, highlighting the relationship between coordinates and geometric calculations.
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