Geometric Constructions EOC Review

Given the diagram below. Which pair of points determines the perpendicular bisector of line segment AB?

• A. X, W

• B. X, Z

• C. Y, W

• D. Y, Z

The drawing shows the partial construction of ____________.

• a bisector of a given angle

• an angle congruent to a given angle

• a bisector of a given line

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

Which of the following constructions is illustrated?

• An angle congruent to a given angle

• The bisector of a given angle

• The bisector of a given segment

• The perpendicular bisector of a given segment

A student used a compass and a straightedge to construct CE in △ABC as shown below. Which of the following statements are true?

• ∠CEA ≅ ∠CEB

• ∠ACE ≅ ∠BCE

• AE ≅ BE

• EC ≅ AC

Which diagram shows the construction of the perpendicular bisector of line segment AB?

• 
• 
• 
• 

What construction does the diagram below represent?

• Bisecting an angle

• Bisecting a segment

• Copying an angle

• Copying a segment

Based on the construction shown below, which statement is true?

• The construction shows the intersection of the angle bisectors of a triangle which is the center of the inscribed circle.

• The construction shows the intersection of the angle bisectors of a triangle which is the center of the circumscribed circle.

• The construction shows the intersection of the perpendicular bisectors of the sides of a triangle which is the center of the inscribed circle.

• The construction shows the intersection of the perpendicular bisectors of the sides of a triangle which is the center of the circumscribed circle.

What is the first step in constructing the angle bisector of angle A?

• Draw ray AD.

• 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 the angle at points B and C.

Listed below, not in order, are the steps for copying ∠A using a compass and a straightedge. Select the option that lists the steps in the correct order.

• A. I, II, IV, V, III

• B. I, III, V, IV, II

• C. I, IV, V, II, III

• D. I, V, II, IV, III

Listed below, not in order, are the steps for constructing the perpendicular bisector of AB. Select the option that lists the steps in the correct order.

• I, II, III, IV

• II, I, IV, III

• III, I, IV, II

• IV, II, III, I