Parallelogram Problem Solving Challenge

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Difficult round on parallelograms

Created by

jamieca MORALES

Philippines

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Froggy Jumps Parallelogram Problem Solving ChallengeOnline version Difficult round on parallelograms by jamieca MORALES 1 In a parallelogram, which formula gives the area using its height? a Area = side1 + side2 b Area = base × height c Area = base × diagonal 2 Diagonals in a parallelogram are always perpendicular. a Only in rectangles b False c True 3 If adjacent sides are a and b with included angle theta, area = ? a (a + b) × sin(theta) b a × b × sin(theta) c a × b × cos(theta) 4 A parallelogram has base 7 and height 5. Its area is: a 70 b 12 c 35 5 A parallelogram with sides 5 and 7 and included angle 60° has area approximately: a 30.3 b 17.5 c 40.0 6 Which statement is true about parallelogram opposite sides? a Only one pair is parallel b They are parallel and equal c They are perpendicular and equal 7 If one angle of a parallelogram is 60°, the adjacent angle is: a 90° b 60° c 120° 8 Diagonals of a parallelogram always bisect each other. a True b False c Only in rectangles 9 In a rhombus, diagonals are perpendicular and they also: a Are equal in length b Bisect the angles c Are parallel 10 If you shift a parallelogram along one side without changing its shape, what remains unchanged? a Area only b Angles of all corners c Area and lengths of opposite sides

Froggy Jumps

Parallelogram Problem Solving ChallengeOnline version

Difficult round on parallelograms

by jamieca MORALES

In a parallelogram, which formula gives the area using its height?

Area = side1 + side2

Area = base × height

Area = base × diagonal

Diagonals in a parallelogram are always perpendicular.

Only in rectangles

False

True

If adjacent sides are a and b with included angle theta, area = ?

(a + b) × sin(theta)

a × b × sin(theta)

a × b × cos(theta)

A parallelogram has base 7 and height 5. Its area is:

A parallelogram with sides 5 and 7 and included angle 60° has area approximately:

30.3

17.5

40.0

Which statement is true about parallelogram opposite sides?

Only one pair is parallel

They are parallel and equal

They are perpendicular and equal

If one angle of a parallelogram is 60°, the adjacent angle is:

90°

60°

120°

Diagonals of a parallelogram always bisect each other.

True

False

Only in rectangles

In a rhombus, diagonals are perpendicular and they also:

Are equal in length

Bisect the angles

Are parallel

If you shift a parallelogram along one side without changing its shape, what remains unchanged?

Area only

Angles of all corners

Area and lengths of opposite sides

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Parallelogram Problem Solving Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Parallelogram Problem Solving ChallengeOnline version

by jamieca MORALES

In a parallelogram, which formula gives the area using its height?

Diagonals in a parallelogram are always perpendicular.

If adjacent sides are a and b with included angle theta, area = ?

A parallelogram has base 7 and height 5. Its area is:

A parallelogram with sides 5 and 7 and included angle 60° has area approximately:

Which statement is true about parallelogram opposite sides?

If one angle of a parallelogram is 60°, the adjacent angle is:

Diagonals of a parallelogram always bisect each other.

In a rhombus, diagonals are perpendicular and they also:

If you shift a parallelogram along one side without changing its shape, what remains unchanged?

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