March Madness Shot Geometry

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In this March Madness–themed Geometry 1 activity, you’ll use angle relationships and triangle properties to analyze “shot geometry” on a basketball court. Show reasoning when helpful and select the best answer when the question is multiple choice.

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1

Tennessee runs a baseline out-of-bounds play. A pass line intersects the baseline, creating a linear pair of angles. One angle measures $112^\circ$.
What is the measure of the adjacent angle on the other side of the line?

$68^\circ$

$58^\circ$

$112^\circ$

$92^\circ$

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1

A player from Kansas releases a shot. In a simplified model, the ball travels along a line that makes a $38^\circ$ angle with the court (horizontal). The player wants to increase the angle to $45^\circ$.
By how many degrees does the release angle increase?

$45^\circ$

$7^\circ$

$17^\circ$

$83^\circ$

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1

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.
What is the perimeter, in feet?

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1

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.
What is the area of the court, in square feet?

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1

Duke draws up a play where two pass lines cross at midcourt. One of the angles at the intersection measures $47^\circ$.
What is the measure of the vertical angle opposite it?

$47^\circ$

$90^\circ$

$94^\circ$

$133^\circ$

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1

UConn runs a set where a shot line meets the baseline, forming a linear pair. One angle measures $128^\circ$.
What is the measure of the adjacent angle?

$52^\circ$

$62^\circ$

$308^\circ$

$128^\circ$

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1

A guard from Purdue passes to the corner, forming a triangle with the baseline and the sideline. Two angles of the triangle measure $35^\circ$ and $72^\circ$.
What is the measure of the third angle?

$73^\circ$

$72^\circ$

$107^\circ$

$35^\circ$

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1

Houston sets a screen so the ball-handler dribbles along a straight path, then turns to a new path. The angle between the original path and the new path is $58^\circ$.
What is the measure of the adjacent angle that forms a linear pair with $58^\circ$?

$122^\circ$

$58^\circ$

$32^\circ$

$238^\circ$

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1

Michigan State runs a play where a pass path forms an exterior angle to a triangle created by two other pass paths. The exterior angle measures $118^\circ$. One remote interior angle measures $49^\circ$.
What is the measure of the other remote interior angle?

$131^\circ$

$20^\circ$

$69^\circ$

$59^\circ$

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1

A shooter from Gonzaga takes a midrange shot. In a simplified diagram, the shooter and the two ends of the rim form an isosceles triangle (the two segments from the shooter to each end of the rim are equal). The vertex angle at the shooter measures $40^\circ$.
What is the measure of each base angle (at the rim ends)?

$80^\circ$

$70^\circ$

$20^\circ$

$40^\circ$

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1

Court geometry: The free-throw lane (paint) is a rectangle that is $16$ ft wide and $19$ ft long.
What is the area of the lane, in square feet?

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1

North Carolina runs a play where a pass line crosses a sideline, creating a pair of adjacent angles on a straight line. One angle measures $101^\circ$.
What is the measure of the adjacent angle?

$281^\circ$

$79^\circ$

$89^\circ$

$101^\circ$

March Madness Shot Geometry

Tennessee runs a baseline out-of-bounds play. A pass line intersects the baseline, creating a linear pair of angles. One angle measures $112^\circ$.What is the measure of the adjacent angle on the other side of the line?

A player from Kansas releases a shot. In a simplified model, the ball travels along a line that makes a $38^\circ$ angle with the court (horizontal). The player wants to increase the angle to $45^\circ$.By how many degrees does the release angle increase?

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.What is the perimeter, in feet?

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.What is the area of the court, in square feet?

Duke draws up a play where two pass lines cross at midcourt. One of the angles at the intersection measures $47^\circ$.What is the measure of the vertical angle opposite it?

UConn runs a set where a shot line meets the baseline, forming a linear pair. One angle measures $128^\circ$.What is the measure of the adjacent angle?

A guard from Purdue passes to the corner, forming a triangle with the baseline and the sideline. Two angles of the triangle measure $35^\circ$ and $72^\circ$.What is the measure of the third angle?

Houston sets a screen so the ball-handler dribbles along a straight path, then turns to a new path. The angle between the original path and the new path is $58^\circ$.What is the measure of the adjacent angle that forms a linear pair with $58^\circ$?

Michigan State runs a play where a pass path forms an exterior angle to a triangle created by two other pass paths. The exterior angle measures $118^\circ$. One remote interior angle measures $49^\circ$.What is the measure of the other remote interior angle?

Court geometry: The free-throw lane (paint) is a rectangle that is $16$ ft wide and $19$ ft long.What is the area of the lane, in square feet?

North Carolina runs a play where a pass line crosses a sideline, creating a pair of adjacent angles on a straight line. One angle measures $101^\circ$.What is the measure of the adjacent angle?

Tennessee runs a baseline out-of-bounds play. A pass line intersects the baseline, creating a linear pair of angles. One angle measures $112^\circ$.What is the measure of the adjacent angle on the other side of the line?

A player from Kansas releases a shot. In a simplified model, the ball travels along a line that makes a $38^\circ$ angle with the court (horizontal). The player wants to increase the angle to $45^\circ$.By how many degrees does the release angle increase?

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.What is the perimeter, in feet?

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.What is the area of the court, in square feet?

Duke draws up a play where two pass lines cross at midcourt. One of the angles at the intersection measures $47^\circ$.What is the measure of the vertical angle opposite it?

UConn runs a set where a shot line meets the baseline, forming a linear pair. One angle measures $128^\circ$.What is the measure of the adjacent angle?

A guard from Purdue passes to the corner, forming a triangle with the baseline and the sideline. Two angles of the triangle measure $35^\circ$ and $72^\circ$.What is the measure of the third angle?

Houston sets a screen so the ball-handler dribbles along a straight path, then turns to a new path. The angle between the original path and the new path is $58^\circ$.What is the measure of the adjacent angle that forms a linear pair with $58^\circ$?

Michigan State runs a play where a pass path forms an exterior angle to a triangle created by two other pass paths. The exterior angle measures $118^\circ$. One remote interior angle measures $49^\circ$.What is the measure of the other remote interior angle?

Court geometry: The free-throw lane (paint) is a rectangle that is $16$ ft wide and $19$ ft long.What is the area of the lane, in square feet?

North Carolina runs a play where a pass line crosses a sideline, creating a pair of adjacent angles on a straight line. One angle measures $101^\circ$.What is the measure of the adjacent angle?

Tennessee runs a baseline out-of-bounds play. A pass line intersects the baseline, creating a linear pair of angles. One angle measures $112^\circ$.
What is the measure of the adjacent angle on the other side of the line?

A player from Kansas releases a shot. In a simplified model, the ball travels along a line that makes a $38^\circ$ angle with the court (horizontal). The player wants to increase the angle to $45^\circ$.
By how many degrees does the release angle increase?

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.
What is the perimeter, in feet?

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.
What is the area of the court, in square feet?

Duke draws up a play where two pass lines cross at midcourt. One of the angles at the intersection measures $47^\circ$.
What is the measure of the vertical angle opposite it?

UConn runs a set where a shot line meets the baseline, forming a linear pair. One angle measures $128^\circ$.
What is the measure of the adjacent angle?

A guard from Purdue passes to the corner, forming a triangle with the baseline and the sideline. Two angles of the triangle measure $35^\circ$ and $72^\circ$.
What is the measure of the third angle?

Houston sets a screen so the ball-handler dribbles along a straight path, then turns to a new path. The angle between the original path and the new path is $58^\circ$.
What is the measure of the adjacent angle that forms a linear pair with $58^\circ$?

Michigan State runs a play where a pass path forms an exterior angle to a triangle created by two other pass paths. The exterior angle measures $118^\circ$. One remote interior angle measures $49^\circ$.
What is the measure of the other remote interior angle?

Court geometry: The free-throw lane (paint) is a rectangle that is $16$ ft wide and $19$ ft long.
What is the area of the lane, in square feet?

North Carolina runs a play where a pass line crosses a sideline, creating a pair of adjacent angles on a straight line. One angle measures $101^\circ$.
What is the measure of the adjacent angle?

Tennessee runs a baseline out-of-bounds play. A pass line intersects the baseline, creating a linear pair of angles. One angle measures $112^\circ$.
What is the measure of the adjacent angle on the other side of the line?

A player from Kansas releases a shot. In a simplified model, the ball travels along a line that makes a $38^\circ$ angle with the court (horizontal). The player wants to increase the angle to $45^\circ$.
By how many degrees does the release angle increase?

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.
What is the perimeter, in feet?

Court geometry: Use an NCAA court approximation of $94$ ft by $50$ ft.
What is the area of the court, in square feet?

Duke draws up a play where two pass lines cross at midcourt. One of the angles at the intersection measures $47^\circ$.
What is the measure of the vertical angle opposite it?

UConn runs a set where a shot line meets the baseline, forming a linear pair. One angle measures $128^\circ$.
What is the measure of the adjacent angle?

A guard from Purdue passes to the corner, forming a triangle with the baseline and the sideline. Two angles of the triangle measure $35^\circ$ and $72^\circ$.
What is the measure of the third angle?

Houston sets a screen so the ball-handler dribbles along a straight path, then turns to a new path. The angle between the original path and the new path is $58^\circ$.
What is the measure of the adjacent angle that forms a linear pair with $58^\circ$?

Michigan State runs a play where a pass path forms an exterior angle to a triangle created by two other pass paths. The exterior angle measures $118^\circ$. One remote interior angle measures $49^\circ$.
What is the measure of the other remote interior angle?

Court geometry: The free-throw lane (paint) is a rectangle that is $16$ ft wide and $19$ ft long.
What is the area of the lane, in square feet?

North Carolina runs a play where a pass line crosses a sideline, creating a pair of adjacent angles on a straight line. One angle measures $101^\circ$.
What is the measure of the adjacent angle?