Lesson:Geometry Construction

Multiple Choice

What tool is this?

• Compass

• Circle creator

• Pencil swingy-thing

• Arc maker

Multiple Select

Geometry Construction: What types of tool can you use to construct in Geometry ?

• Compass

• Use a Ruler for measuring segment length.

• straight edge line maker

• Use a Protractor for measuring angle degrees

Multiple Choice

A straight figure having no thickness and extending infinitely in both directions

• line

• ray

• point

• straight angle

Multiple Choice

A line with a single endpoint (or point of origin) that extends infinitely in one direction

• line

• ray

• point

• straight angle

Multiple Choice

Which of the following shows parallel lines?

Multiple Choice

Which of the following is a segment?

Multiple Choice

Which image shows a ray?

Multiple Choice

Which of these is a set of perpendicular lines?

Multiple Choice

What do you call the common endpoint of two rays? 

• Angle
• Segment
• Ray
• Vertex 

Multiple Choice

What does the word BISECT mean?

• To cut something into more than five pieces.
• It is a plane with two sets of wings.
• A shape that has three sides. 
• To cut something into two congruent pieces or in half.

Multiple Choice

Which image shows the construction of a perpendicular bisector?

Multiple Choice

Which of the following shows the construction of an angle bisector?

Multiple Choice

Which of these illustrates the construction of a perpendicular line through a given point

Multiple Choice

What geometric construction is shown in the diagram below?

• an angle bisector

• a line parallel to a given line

• an angle congruent to a given angle

• a perpendicular bisector of a segment

Multiple Choice

Which of the following constructions is illustrated?

• An angle is congruent to a given angle
• The bisector of a given angle
• The bisector of a given segment
• The perpendicular bisector of a given segment.

Multiple Choice

By using a compass, D and G were marked equidistant from Vertex E. The compass was then used to locate point F, distant from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF

• are equal

• are NOT equal

• sum to 45°

• sum to 30°

Multiple Choice

Nate is constructing angle bisector to angle ABC.  Where did he position his compass to create the two arcs that intersect at the interior of the angle?

• He fixed his compass on B and drew both arcs.
• He fixed his compass on points A and C.
• He fixed his compass on points D and E.
• He fixed his compass on points B and E.

Multiple Choice

To inscribe a hexagon inside a circle, which length should you set your compass to?

• The radius
• The diameter
• Half of the radius
• It depends on the size of the circle

Multiple Choice

What kind of construction is displayed in this picture?

• A circle inscribed in a hexagon
• A hexagon inscribed in a circle
• A hexagon
• A circle

Multiple Choice

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

• Eric should have started by putting the compass needle point at the midpoint of the segment AB.

• On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

• Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

• Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

Multiple Choice

When copying line segment AB using a straight edge and a compass, the compass should be used to:

• Draw an arc above point A
• Measure the length of segment AB
• Draw an arc between point A and point B
• Measure half the length of line segment AB

Multiple Choice

Which image shows the construction of congruent segments?

Multiple Choice

The drawing shows the arcs used to construct...what?

• a bisector of a given line

• a bisector of a given angle

• a perpendicular of a given line at a point on the line

• an angle congruent to a given angle

Multiple Choice

.
.
What kind of intersecting lines are these?

• Parallel Lines
• Perpendicular Lines
• Right Lines
• Scalene Lines

Multiple Choice

It allows you to construct lines, angles, and polygons with the simplest of tools.

• Geometry

• Geometric Sequence

• Geometric Constructions

Multiple Choice

3 or more points on a line

• plane

• angle

• collinear

• points

Multiple Choice

Which of these illustrates the construction of a perpendicular line through a given point

Multiple Choice

What must be true?

• 1

• 2

• 3

• 4

Multiple Choice

• 1
• 2
• 3
• 4

Multiple Choice

Select the best answer choice.

• A
• B
• C
• D

Multiple Choice

The picture represents a compass and straightedge construction of _________?

• Copy an angle
• Bisect an angle
• Copy a line segment
• Bisect a line segment

Multiple Choice

Nate is constructing angle bisector to angle ABC.  Where did he position his compass to create the two arcs that intersect at the interior of the angle?

• He fixed his compass on B and drew both arcs.
• He fixed his compass on points A and C.
• He fixed his compass on points D and E.
• He fixed his compass on points B and E.

Multiple Choice

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

• Place the compass point at B
• Place the compass point at C
• Place the straightedge along A and C
• Place the straightedge along C and D

Multiple Choice

A line with a single endpoint (or point of origin) that extends infinitely in one direction

• line

• ray

• point

• straight angle

Multiple Choice

What do you call the common endpoint of two rays? 

• Angle
• Segment
• Ray
• Vertex 

Multiple Choice

Which of the following shows the construction of an angle bisector?

Multiple Choice

What geometric construction is shown in the diagram below?

• an angle bisector

• a line parallel to a given line

• an angle congruent to a given angle

• a perpendicular bisector of a segment

Multiple Choice

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

Multiple Choice

What does the word BISECT mean?

• To cut something into more than five pieces.
• It is a plane with two sets of wings.
• A shape that has three sides. 
• To cut something into two congruent pieces or in half.

Multiple Choice

The picture represents a compass and straightedge construction of _________?

• Copy an angle
• Bisect an angle
• Copy a line segment
• Bisect a line segment

Multiple Choice

To inscribe a hexagon inside a circle, which length should you set your compass to?

• The radius
• The diameter
• Half of the radius
• It depends on the size of the circle

Multiple Choice

When constructing a line parallel to a given line, you will be

• copying a segment
• bisecting a segment
• copying an angle
• constructing a perpendicular 

Multiple Choice

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

• Place the compass point at B
• Place the compass point at C
• Place the straightedge along A and C
• Place the straightedge along C and D

Multiple Choice

What kind of construction is displayed in this picture?

• A circle inscribed in a hexagon
• A hexagon inscribed in a circle
• A hexagon
• A circle

Multiple Choice

When copying line segment AB using a straight edge and a compass, the compass should be used to:

• Draw an arc above point A
• Measure the length of segment AB
• Draw an arc between point A and point B
• Measure half the length of line segment AB

Multiple Choice

Which construction illustrates “copy an angle”?

Multiple Choice

The picture represents a compass and straightedge construction of _________?

• Copy an angle
• Bisect an angle
• Copy a line segment
• Bisect a line segment

Multiple Select

A straightedge and compass were used to creat the construction above. Arc EF was drawn from Point B, and arcs with equal radii were drawn from E and F. Choose all of the following that must be true.

Multiple Choice

Which of the following shows a construction of a 45^o angle?

• All of the constructions show a 45^o angle

Multiple Choice

Name the construction.

• Angle bisector
• Perpendicular line to a point not on a line
• Angle median
• Perpendicular bisector of a line segment

Multiple Choice

Name the construction.

• Angle bisector
• Perpendicular line to a point not on a line
• Perpendicular line to a point on the line
• Perpendicular bisector of a line segment

Multiple Choice

In the image, line RS is _______ to line JQ.

• parallel
• congruent
• similar
• perpendicular

Multiple Choice

Name the construction.

• Corresponding angles
• Parallel line to a point not on the line
• Perpendicular line to a point not on the line
• Angle bisector

Multiple Choice

Name the construction.

• midpoint

• perpendicular through a point on the line

• perpendicular through a point NOT on the line

• Circumcenter of a right triangle