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Questions and Answers
In parallelogram ABCD, $m\angle A = 2x + 5$ and $m\angle B = 3x - 10$. Determine the measure of angle A.
In parallelogram ABCD, $m\angle A = 2x + 5$ and $m\angle B = 3x - 10$. Determine the measure of angle A.
- 35 degrees
- 70 degrees
- 75 degrees (correct)
- 41 degrees
Given kite ABCD, where diagonal AC intersects diagonal BD at point E. If $AE = 3x + 1$ and $EC = 5x - 7$, what is the length of AC?
Given kite ABCD, where diagonal AC intersects diagonal BD at point E. If $AE = 3x + 1$ and $EC = 5x - 7$, what is the length of AC?
- 4
- 13
- 26 (correct)
- 52
Consider an isosceles trapezoid EFGH, where EF is parallel to HG. If $m\angle E = 72$ degrees, what is the measure of angle H?
Consider an isosceles trapezoid EFGH, where EF is parallel to HG. If $m\angle E = 72$ degrees, what is the measure of angle H?
- 72
- 18
- 144
- 108 (correct)
Parallelogram PQRS has diagonals PR and QS intersecting at point T. If $PT = 2x + 3$ and $TR = 4x - 5$, find the length of the diagonal PR.
Parallelogram PQRS has diagonals PR and QS intersecting at point T. If $PT = 2x + 3$ and $TR = 4x - 5$, find the length of the diagonal PR.
A rhombus has diagonals of lengths 12 cm and 16 cm. Calculate the area of the rhombus.
A rhombus has diagonals of lengths 12 cm and 16 cm. Calculate the area of the rhombus.
Flashcards
Parallelogram
Parallelogram
A quadrilateral with two pairs of parallel sides.
Trapezoid
Trapezoid
A quadrilateral with only one pair of parallel sides.
Kite
Kite
A quadrilateral with two pairs of adjacent, equal-length sides and diagonals that intersect at right angles.
Perimeter
Perimeter
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Area of a Rhombus
Area of a Rhombus
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Study Notes
- Activity: Super Twins, done in pairs
- Each pair solves an assigned number related to parallelograms, trapezoids, and kites
- Pairs can question other pairs' answers if incorrect
Problem Solving Questions
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Rhombus area is 348 cm², one diagonal is 24 cm
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Parallelogram ABCD has angles m∠B = 4x + 15 and m∠D = 6x – 27
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Parallelogram DEFG has diagonals DF and EG intersecting at C
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|DC| = x + y, |CF| = 10 cm, |EC| = 8 cm, and |CG| = 2x – y
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Isosceles trapezoid BALP has m∠BAP = 98º and m∠BLA = 26º; find measures of numbered angles
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HOME is marked with |HM| = 10x + 1 cm and |OE| = 9x + 3; find the length of each diagonal
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Isosceles trapezoid FITJ has |IT| = 3x, |AH| = 9x – 6 cm, |FJ| = 10x + 3 cm, and |TJ| = 15 cm
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Altitude is 9 cm; Find its area and perimeter
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Kite FLYH has m∠HFL = 80º and m∠FLY = 103º; find the measures of numbered angles
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Kite HOPE has |OP| = x, |HE| = 5x, and |SP| = 5 cm
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Perimeter is 108 cm; find x and lengths of HS, PE, and OH
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Parallelogram VYZW has m∠V = 5x and m∠W = 2x + 12º
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Parallelogram ABCD has |DC| = 5y – x, |BC| = 4x + 2y, |AB| = 18 cm, and |AD| = 16 cm
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Find the values of x and y, and its perimeter
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Description
Solve problems related to parallelograms, trapezoids, and kites in pairs. Challenge other pairs on incorrect answers. Problems include finding areas, angles, and side lengths using geometric properties.
