Questions and Answers
Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line?
Create a line that intersects the original line.
When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular?
Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles.
What first step does Katie need to ensure that the second slat is parallel to the first slat in her fence blueprint?
Draw a second line using a straightedge so that it intersects the first.
Which step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle?
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What is being constructed based on the markings in the following diagram?
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When constructing an equilateral triangle, which step comes after constructing a circle?
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What is the difference between constructing a square and constructing an equilateral triangle?
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According to the partial construction shown, what is the next step in constructing a line perpendicular to a point off a line?
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Which is the next step in the following construction of a square?
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Study Notes
Construction of Parallel and Perpendicular Lines
- Both the construction of parallel lines and perpendicular lines to a point off a line starts with creating an intersecting line with the original line.
- To verify perpendicularity when constructing a perpendicular line, check the intersection with a piece of paper to confirm the formation of 90° angles.
Blueprint Construction for Fence
- To ensure the second slat of a fence design is parallel to the first, initially draw a second line that intersects the first using a straightedge.
Inscribed Shapes Construction
- The first step in constructing both an inscribed regular hexagon and an inscribed equilateral triangle involves setting the compass width to the radius of the circle.
Various Constructions Overview
- The markings in some diagrams indicate the construction of parallel lines.
- After constructing a circle for an equilateral triangle, the next step is to set the compass to the radius of that circle.
Comparison of Square and Equilateral Triangle Construction
- The construction of a square utilizes the diameter, while the construction of an equilateral triangle employs the radius.
Steps in Perpendicular Line Construction
- In constructing a line perpendicular to a point off another line, the next step involves placing the compass at point P and drawing an arc that intersects line a in two locations.
Continuing with Square Construction
- During the construction of a square, the next step is to position the compass at point A and adjust it to be greater than the distance to point P.
Studying That Suits You
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Description
Test your knowledge with these flashcards covering key concepts in advanced constructions, including the methods to create parallel and perpendicular lines. Each card presents a question to help reinforce your understanding of geometric constructions.
