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Test your knowledge on shapes including rhombus, square, rectangle, parallelogram, trapezoid, and polygons with varying levels of difficulty. Can you answer all the questions correctly?
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Rhombus 100 True or false? If parallelogram ABCD is a rhombus then AC is perpendicular to BD. TRUE
Rhombus 200 If ABCD is a rhombus and BC=60, find x and y. 2y A B x=60 y=30 x D C
Rhombus 300 True or False? If a parallelogram is a rhombus then it is also a square. False
Rhombus 400 If the figure below is a rhombus, find y. x x=90 90=3y+30 (90-30)/3=y x 3y+30 y=20
Rhombus 500 If the following figure is a rhombus list three Characteristics of its sides or diagonals. The opposite sides are parallel. sides are congruent diagonals are perpendicular.
Square 100 If the two figures are squares what is the length of side AB? 2x=62 2x 2 2 A B X=31 AB=31 62 x
Square 200 If a square’s area is 25 square feet what is the length of its diagonal? “5 root 2” feet
Square 300 Is the following information enough to determine that the figure is a square? Explain. 3 No, we would also need to know the missing sides are three. 3
Square 400 True or False? The diagonals of a square are perpendicular. True
Square 500 Team Challenge! Create a Venn Diagram organizing all the quads we have learned about.
Rectangle 100 If the figure is a rectangle, what is the value of y? 3x=60 3x X=20 X=y x y Y=20 60
Rectangle 200 If figure ABCD is a rectangle and AE=6, what is the value of CB? A B CB=12 E C D
Rectangle 300 If the figure is a rectangle, circle what is marked incorrectly?
Rectangle 400 True or False Rectangles can have angle measures of 80˚,100˚,80˚, and 100˚. False
Rectangle 500 Find the missing values. CB= CE= CD= AC= 10 5 13 6 2x+3 A B 5 y E x D C 2y+1
Parallelograms100 True or False If a quadrilateral has two pairs of opposite congruent sides it is a parallelogram. True
Parallelograms 200 What needs to be changed to prove that this is a parallelogram. A Switch the markings from angles A and B or switch the ones from C and D. B C D
Parallelograms 300 Find EB. X+12 B A EB=6 E x C D 3x
Parallelograms 400 State the missing parallelogram property: -Both pairs of opposite sides are parallel -Both pairs of opposite sides are congruent -Both pairs of opposite angles are congruent -Consecutive angles are supplementary And… The diagonals bisect each other
Parallelograms 500 Is this enough information to say if the quad is a parallelogram? No. You need to know either that the other pair of sides is also congruent or the other pair is also parallel.
Trapezoids 100 What is the only thing we need to know about a quadrilateral for it to be a trapezoid? It must have one pair of parallel sides.
Trapezoids 200 Fill in the missing angle measures. 71 150 30 109
Trapezoid 300 EF=20 Find EF if x=5. 3x A B E F C 5x D
Trapezoid 400 List two ways to tell if a trapezoid is isosceles. Both legs are congruent Base angles are congruent
Trapezoid 500 If trapezoid ABCD is isosceles, find the following missing values. 7 EF= m<D= m<A= m<B= 10 B A 83 97 97 E F 83 C 13 D
Polygons/Angle Measures 100 Use 2 words to describe this polygon. Concave Heptagon
Polygons/Angle Measures 200 Find the missing angle measures. B A 156 153 30 D 21 C
Polygons/Angle Measures 300 Find the measure of one interior angle of a regular dodecagon. 150 degrees
Polygons/Angle Measures 400 Name the following polygon. Regular Octagon
Polygons/Angle Measures 500 Draw a shape is closed, does not have any curved sides, but is still not a polygon.