Evan's detective story continues...
To better understand the target of his investigation, Detective Reese needed to identify the parts of a parallelogram. Angles at opposite corners of a parallelogram are called opposite angles, and angles found on the same side of the parallelogram are called adjacent angles. Furthermore, a parallelogram has two diagonals that connect opposite vertices.
Reese used parallelogram ABCD with ∠a°, ∠b°, ∠c°, and ∠d° to practice identifying the angles and diagonals.
Complete the activity below by dragging the angles and lines to their appropriate descriptions.
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What is the relationship between ∠a° and ∠c°.
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Opposite angles
Adjacent angles
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That's correct!
Are ∠a° and ∠c° on opposite sides or adjacent sides of the parallelogram ?
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What is the relationship between ∠b° and ∠d°?
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Opposite angles
Adjacent angles
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That's right!
Did you notice that ∠b° and ∠d° are on opposite sides of the parallelogram?
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What is the relationship between ∠a° and ∠d°?
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Opposite angles
Adjacent angles
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Correct!
What do you call angles that are on the same side of the parallelogram?
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What is the relationship between ∠c° and ∠d°?
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Opposite angles
Adjacent angles
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That is correct.
Did you notice that ∠c° and ∠d° are on the same side of the parallelogram?
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What type of line would connect vertices B and D?
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Diagonal line
Parallel line
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That's right!
What type of line connects opposite vertices of a rectangle?
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What type of line would connect vertices A and C?
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Diagonal line
Parallel line
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Correct.
Did you notice that this line connects opposite vertices of the rectangle?
Complete
At this point, Detective Reese could identify opposite angles, adjacent angles, and diagonals in a parallelogram.
