 Geometric Constructions
2 years ago
rjporter
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Practice 15 QuestionsShow answers
• Question 1
60 seconds Q. 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
• Question 2
60 seconds Q. Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?
A
B
C
D
• Question 3
60 seconds
Q. To inscribe a hexagon inside a circle, which length should you set your compass to?
The diameter
It depends on the size of the circle
• Question 4
60 seconds Q. 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
• Question 5
60 seconds Q. When bisecting an angle, the straightedge should be used to:
Mark the point M
Measure the angle AOB
Copy the angle with an arc
Connect point M and vertex O
• Question 6
60 seconds
Q. To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?
Construct a perpendicular bisector
Draw a second diameter to the circle
Construct a line tangent to the circle
• Question 7
60 seconds Q. Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
A
B
C
D
• Question 8
300 seconds Q. 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
• Question 9
60 seconds Q. Given: angle A
What is the first step in constructing the angle bisector of angle A?
Draw a line segment connecting points B and C.
From points B and C, draw equal arcs that intersect at D.
From point A, draw an arc that intersects the sides of theangle at points B and C.
• Question 10
60 seconds Q. Based on the construction, which statement must be true?
A
B
C
D
• Question 11
60 seconds Q. A straightedge and compass were used to create the construction. Arc EF was drawn from point B, and arcs with equal radii were drawn from E and F.
A
B
C
D
• Question 12
60 seconds Q. Line segment AB is shown in the diagram. Which two sets of construction marks, labeled I, II , III, and IV,are part of the construction of the perpendicular bisector of line segment AB?
I and II
I and III
II and III
II and IV
• Question 13
60 seconds Q. Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?
a line through P parallel to line l
a line through P intersecting line l
a line through P congruent to line l
a line through P perpendicular to line l
• Question 14
60 seconds Q.
A
B
C
D
• Question 15
60 seconds Q. Based on the construction, which conclusion is not always true?