Geometry Constructions

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+6
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the construction for a perpendicular through a point NOT on the line?
Back
To construct a perpendicular through a point NOT on the line, place the compass point on the external point and draw an arc that intersects the line at two points. Then, using those intersection points, draw arcs above and below the line. Finally, connect the external point to the intersection of the arcs to form the perpendicular.
2.
FLASHCARD QUESTION
Front
What is a perpendicular bisector?
Back
A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle. It can be constructed using a compass and straightedge by drawing arcs from both endpoints of the segment and connecting the intersection points.
3.
FLASHCARD QUESTION
Front
How do you construct the bisector of a given angle?
Back
To construct the bisector of a given angle, place the compass point at the vertex of the angle and draw an arc that intersects both rays of the angle. Then, from the intersection points, draw arcs that intersect each other. Finally, connect the vertex to the intersection of the arcs.
4.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel?
Back
Two lines are parallel if they are in the same plane and do not intersect, no matter how far they are extended.
Tags
CCSS.HSG.CO.A.1
5.
FLASHCARD QUESTION
Front
What is the definition of congruent angles?
Back
Congruent angles are angles that have the same measure, regardless of their orientation or position.
Tags
CCSS.8.G.A.2
6.
FLASHCARD QUESTION
Front
What is the construction for a perpendicular to a given line at a point on the line?
Back
To construct a perpendicular to a given line at a point on the line, place the compass point on the point and draw an arc that intersects the line at two points. Then, using those intersection points, draw arcs above and below the line and connect the intersection of the arcs to the original point.
7.
FLASHCARD QUESTION
Front
What is the significance of the circumcenter in a triangle?
Back
The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle and is the center of the circumcircle.
Tags
CCSS.HSG.C.A.3
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