Constructions

7th Grade Math Buford Middle School

What are constructions?

• Constructions are geometric “pictures” that are created using a straightedge and a compass.

Construction Vocabulary

• Line Segment – a part of a line that has two endpoints. The two endpoints are used to name the line.

• Ray – a part of a line with one endpoint. Rays are named using its endpoint first and then any other point on the ray.

• Angle – a figure formed by two rays that have the same endpoints. That endpoint is called the vertex. You name and angle using 3 points: a point on one ray, the vertex, and a point on the other ray

Which figure has exactly two endpoints?

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25% 25%25%25%1. Angle2. Line3. Line segment4. ray

Which statement describes angle QNT?

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25% 25%25%25%1. Its vertex is point N.2. Its vertex is point Q.3. Its vertex is point T.4. It has no vertex.

To bisect an angle means to ____.

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25% 25%25%25%1. Copy it2. Cut it in half3. Double its size4. Rotate it

Joel wants to bisect angle FGH. What should he do first?

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25% 25%25%25%1. Swing an arc from point F

2. Swing an arc from point G.

3. Swing an arc from point H

4. Use his straightedge to draw a segment.

How is the figure shown below named?

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25% 25%25%25%

1. Ray UT2. Line UT3. Ray TU4. Line TU

Which of the following can NOT be used to name the angle shown below?

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25% 25%25%25%

1. Angle BAT2. Angle CAT3. Angle TAB4. Angle TBC

If two lines lie in the same plane and do NOT intersect, they are called ____.

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25% 25%25%25%1. Bisectors2. Horizontal3. Parallel4. Perpendicular

Uri wants to draw a line through point P that is parallel to line segment KD.

What is the first step Uri should take.

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20% 20% 20%20%20%

1. Use a straightedge to draw a segment through point P that crosses line KD.

2. Use a straightedge to draw a segment through points K and D.

3. Swing an arc from point P.4. Swing equal arc from point P.5. Swing equal arcs from points K

and D.

A line segment has length of 36 cm. If Lu bisects the segment, what is the length of

each segment he constructs?

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25% 25%25%25%1. 12 cm2. 18 cm3. 36 cm4. 72 cm

Janna wants to draw a line through point D that is perpendicular to line segment QV. What is the

first step Janna should take?

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25% 25%25%25%1. Use a straightedge to draw a segment through point D.

2. Use a straightedge to draw a segment through points Q and V.

3. Swing and arc from point D.4. Swing equal arcs from

points Q and V.

To bisect line PQ, Zena began by swinging equal arcs from points P and Q above the segment and labeling point X where the arcs

met. What should Zena do next?

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25% 25%25%25%1. Use a straightedge to draw a line segment from X to P and a line segment from X to Q.

2. Use a straightedge to draw a line segment from X to the point in the middle of line PQ.

3. Swing an arc from point X.4. Swing equal arcs from points P

and Q below the segment.