Using Technology for Construction

ID: lubug-gipan
Created by Illustrative MathIllustrative Math
Subject: Geometry
Grade: 9-12

Using Technology for Construction

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Problem 1

1) Select all of the digital construction tools that do the same job as a pencil alone (without straightedge or compass). Write each corresponding letter in the answer box and separate letters with commas.

a) Point plotted on an object \quad\quad b) Polygon \quad\quad c) Circle with center through point

d) Point of intersection \quad\quad e) Line

Problem 2

2) How can you test to see if a diagram made using digital tools is a construction or just a drawing based on estimation?

Problem 3

3) Han thought he constructed a rectangle using digital tools. When he moved point AA the screen looked like the image on the right. What did Han do wrong?

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Problem 4

4) Select all the digital construction tools that do the same job as a straightedge. Write each corresponding letter in the answer box and separate letters with commas.

a) Circle with center through point \quad\quad b) Point plotted on an object \quad\quad c) Point of intersection

d) Segment \quad\quad e) Line

Problem 5

5) Which digital construction tool does the same job as a compass?

a) Point\text{Point}b) Line\text{Line}c) Polygon\text{Polygon}d) Circle with center through point\text{Circle with center through point}
Problem 6

6) This diagram was made using digital construction tools. One of these triangles was made using the polygon tool and the other was made using the regular polygon tool. Explain what you could do to tell the difference between them.

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Problem 7

7) Which digital construction tool would help you determine whether point CC or point DD is the midpoint of segment ABAB?

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a) Angle bisector \text{Angle bisector }b) Perpendicular bisector \text{Perpendicular bisector }c) Perpendicular line \text{Perpendicular line }d) Parallel line\text{Parallel line}
Problem 8

8) Here is as construction of a regular hexagon inscribed in a circle. Not all parts of the construction are shown. Explain how to construct an equilateral triangle inscribed in the circle centered at AA using digital construction tools.

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Problem 9

9) Here is a construction of a regular hexagon inscribed in a circle. Not all parts of the construction are shown. Explain how to construct a regular 12-sided polygon inscribed in the circle centered at AA using digital construction tools.

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