Constructions
Unknown Angles
Conversely Speaking
Transformations
Parallel and Perpendicular
100
1. Draw a segment AB 2. Draw circle A, radius AB 3. Draw circle B, radius AB 4. Label the intersections of circle A and B as C and D 5. Draw segments AB, BC, and AC
What are the instructions for the construction of an equilateral triangle?
100
The sum the measures of all angles formed by three or more rays with the same vertex is 360 degrees.
What is angles at a point?
100
If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.
What is the converse of alternate interior angles?
100
A rotation, reflection, or translation of the plane.
What is a basic rigid motion?
100
Two lines in the plane either are ____ or they are not ___.
What is parallel?
200
Because circle A, radius AB intersects points B and C and circle B, radius AB intersects points A and C and circle C, radius AB intersects points A and B
What is the justification that triangle ABC is an equilateral triangle?
200
When one angle of a triangle is a right angle, the sum of the measures of the other two angles is 90 degrees.
What is the angle sum of a right triangle?
200
if two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel.
What is the converse of corresponding angles?
200
The perpendicular bisector of CC'.
What is another name for the line of reflection of points C and C'?
200
Two lines are perpendicular if they ___, and if any of the angles formed by the intersection of the lines is a ___ angle.
What is intersect and 90 degrees (or right)?
300
1. Label vertex of angle as A 2. Draw circle A, any size radius 3. Label intersections of circle A with rays of angle as B and C 4. Draw circle B, radius BC 5. Draw circle C, radius BC 6. At least one of the two intersection points of circle B and C lie in the angle. Label that intersection point D 7. Draw ray AD.
What are the instructions for constructing an angle bisector?
300
The sum of the measures of two angles of a triangle equals the measure of the opposite exterior angle.
What is the exterior angle of a triangle?
300
If two lines are cut by a transversal such that interior angles on the same side of the transversal add to 180 degrees, then the lines are parallel.
What is the converse of same side interior angles?
300
The circle that determines the rotation, using any point on the pre-image and its image and an angle, created with three points of your choice, which demonstrates the angle of rotation.
What are the parts of the rotation function?
300
The line of reflection is the ____ of the line connecting each point with its reflected image.
What is the perpendicular bisector?
400
1. Label the vertex of the original angle as B 2. Draw a ray EG as one side of the angle to be drawn 3. Draw circle B, any radius 4. Label the intersections of circle B with the sides of the angle as A and C 5. Draw circle E, radius AB 6. Label the intersection of circle E with ray EG as F 7. Draw circle F, radius AC 8. Label either intersection of circles E and F as D 9. Draw ray ED
What are the steps to copy an angle?
400
If a transversal intersects two parallel lines then the measures of the corresponding angles are equal.
What are corresponding angles of parallel lines and a transversal?
400
If a transversal intersects two lines such that measures of the alternate exterior angles are equal, then the lines are parallel.
What is the converse of alternate exterior angles?
400
A quantity having both direction and magnitude.
What is a vector?
400
Given a line L and a point P not on the line, then there exists one and only one line L' that contains P and is ___ to L.
What is parallel?
500
1. Label the endpoints of the segment as A and B 2. Draw circle A, radius AB 3. Draw circle B, radius AB 4. Label the intersections of circles A and B as C and D 5. Draw line CD
What are the instructions to construct the perpendicular bisector?
500
If a transversal intersects two parallel lines, then the interior angles on the same side of the transversal are supplementary.
What are same side interior angles?
500
The statement: If the band doesn't show by the deadline, they'll cancel the concert.
What is the converse? If the band shows by the deadline, they won't cancel the concert.
500
r(P)45degrees
What is the rotation function applied to figure B on the board?
500
For any point P not on line AB Draw circle P, radius AB Draw circle B, radius AP Label the intersection of circles B and P as Q Draw line PQ
What is the instructions for the construction of a parallel line to line AB and passing through point P?
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