obtuse triangle

acute triangle

equilateral triangle

right triangle

True

False

1. Make a point at any point on the circle’s circumference

2. Draw an arc across the circle with a compass that is set to the length of the radius, this will be the next vertex

3. Draw arcs in this fashion until there are six vertices

4. Label every other vertex

5. Connect these three labeled vertices to create a triangle

6. Connect the unlabeled vertices to create a second triangle

1. Make a point at any point on the circle’s circumference

2. Draw an arc across the circle with a compass that is set to the length of the radius, this will be the next vertex

3. Draw arcs in this fashion until there are eight vertices

4. Connect any six vertices making six equal sides

1. Make a point at any point on the circle’s circumference

2. Draw an arc across the circle with a compass that is set to the length of the radius, this will be the next vertex

3. Draw arcs in this fashion until there are six vertices

4. These are the six vertices of the hexagon

5. Connect these six vertices making six equal sides

1. Make a point at any point on the circle’s circumference

2. Draw an arc across the circle with a compass that is set to double the length of the radius, this will be the next vertex

3. Draw arcs in this fashion until there are three vertices

4. Label every other vertex so that there are three vertices

5. Connect these three vertices making three equal sides

1. Make a point at any point on the circle’s circumference

2. Draw an arc across the circle with a compass that is set to the length of the radius, this will be the next vertex

3. Draw arcs in this fashion until there are six vertices

4. Label every other vertex so that there are three vertices

5. Connect these three vertices making three equal sides

1. Make a point at any point on the circle’s circumference

2. Draw a triangle with its three points on the circle’s circumference

1. Given a circle (or draw a circle) draw a line across the diameter

2. Draw a line perpendicular to the diameter that also bisects the diameter

3. Label all points that intersect the circumference of the circle

4. Connect the points on the outer edge of the circle to form the four sides of the square

1. Given a circle (or draw a circle) draw a line across the diameter

2. Draw a line parallel to the diameter

3. Label all points that intersect the circumference of the circle

4. Connect the points on the outer edge of the circle to form the four sides of the square

1. Given a circle (or draw a circle) draw a line across the diameter

2. Draw a line perpendicular to the diameter that also bisects the diameter

3. Create two triangles from these intersections

4. Combine the triangles to form a square

The diameter of the circle is equal to the diagonal of the rectangle.

The diameter of the circle is equal to the side length of the rectangle.

The diameter of the circle is equal to the side squared of the rectangle.

The diameter of the circle is equal to the perimeter of the rectangle.

All of the answers are equivalencies.

Bisect the right angle with a line that intersects with the hypotenuse, call this point A. Draw lines perpendicular to each leg of the right triangle that passes through point A, these are two sides of your square. The final two sides of the square are lines that run from the points intersecting the two legs down to the right angle vertex.

Bisect either of the acute angles with a line that intersects with the hypotenuse, call this point A. Draw lines perpendicular to each leg of the right triangle that passes through point A, these are two sides of your square. The final two sides of the square are lines that run from the points intersecting the two legs down to the right angle vertex.

Bisect either leg with a line that intersects with the hypotenuse, call this point A. Draw angle bisectors through each of the acute angles.

Find the center of the triangle. Draw a square around the center.

Pick any point within the triangle. Call this the incenter of the triangle.

Find the angle bisectors of any two angles of the triangle. Their intersection is the incenter.

Find the height of the triangle and draw the auxiliary line down to the base. The midpoint of this line is the incenter.

Find the bisectors of coming from any point of any two sides of the triangle. Their intersection is the incenter.