Geometry Constructions
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+5
Standards-aligned
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15 questions
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1.
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.
2.
FLASHCARD QUESTION
Front
What is an angle bisector?
Back
An angle bisector is a ray that divides an angle into two equal angles.
Tags
CCSS.HSG.CO.C.9
3.
FLASHCARD QUESTION
Front
How do you construct a perpendicular bisector of a line segment?
Back
1. Place the compass point on one endpoint and draw an arc above and below the line. 2. Without changing the compass width, repeat from the other endpoint. 3. Draw a line through the intersection points of the arcs.
Tags
CCSS.HSG.CO.C.9
4.
FLASHCARD QUESTION
Front
What is the purpose of constructing an angle congruent to a given angle?
Back
To create an angle that has the same measure as the original angle, often used in geometric proofs and constructions.
5.
FLASHCARD QUESTION
Front
What are the steps to copy an angle using a compass?
Back
1. Draw two arcs from the vertex of the original angle. 2. Mark the intersection points. 3. Draw two arcs from the vertex of the new angle with the same radius. 4. Connect the intersection points to form the copied angle.
6.
FLASHCARD QUESTION
Front
What is the difference between copying an angle and bisecting an angle?
Back
Copying an angle creates an identical angle, while bisecting an angle divides it into two equal angles.
Tags
CCSS.4.G.A.1
7.
FLASHCARD QUESTION
Front
What is the significance of constructing parallel lines?
Back
Constructing parallel lines is essential in geometry for creating shapes, proving theorems, and solving problems involving angles.
Tags
CCSS.4.G.A.1
CCSS.HSG.CO.A.1
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