Directions: Using the integers -9 to 9 at most one time each, place a digit in each box to create endpoints for two different line segments whose midpoint is (1, 3). One line segment should have a positive slope and the other should have a negative slope. You may reuse all the integers for each line segment. Source: Robert Kaplinsky …

Read More »# Expressing Geometric Properties with Equations

## Midpoint Of A Line Segment: Longest Line Segment

Directions: Using the integers -9 to 9 at most one time each, place a digit in each box to create endpoints for the longest possible line segment whose midpoint is (1, 3). Source: Robert Kaplinsky in Open Middle Math

Read More »## Area of a Triangle in the Coordinate Plane

Directions: Use the digits 0 to 9, at most one time each, to fill in ordered pairs for all three points, such that the area of Triangle ABC is closest to 6 square units. A ( ___, ___ ) B ( ___, ___ ) C ( ___, ___ ) Source: Henry Wadsworth

Read More »## Midpoint Formula

Directions: Create two pairs of coordinates on the same line segment that have M (3,4) as their midpoint. Source: Dane Ehlert

Read More »## Coordinate Parallelograms

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that the points make a parallelogram. Source: Daniel Torres-Rangel

Read More »## Perpendicular lines through a given point

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create a correct statment: Source: Andy Schwen

Read More »## Creating Right Triangles 2

Directions: Using the digits 1 to 8 at most one time each, fill in the coordinates to create the vertices of a right triangle: A(__, __), B(__, __), C(__, __) Extension: Try to do this using only the digits 1 to 6. Source: Erick Lee

Read More »## Creating Rectangles 2

Directions: Using the digits 1 to 8 at most one time each, fill in the coordinates to create the vertices of a rectangle: A(__, __), B(__, __), C(__, __), D(__, __). Extension: What is the rectangle with the largest/smallest area/perimeter that you can find? Source: Erick Lee

Read More »## Create Squares

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create a square with one of the vertices at (2,3). Source: John Mahlstedt

Read More »## Finding the Length of a Right Triangle’s Altitude

Directions: The black triangle is a right triangle with legs 8 and 6. The vertices are at the points (0,0), (0,8), and (6,0). The red line segment is perpendicular to hypotenuse. Find the length of the red line segment. Source: Kate Nerdypoo

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