IM Geo.1.5 Practice: Construction Techniques 3: Perpendicular Lines and Angle Bisectors
This diagram is a straightedge and compass construction of a line perpendicular to line AB passing through point C.
Explain why it was helpful to construct points and to be the same distance from .
This diagram is a straightedge and compass construction.
Select all true statements.
This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other.
A rhombus is a quadrilateral with 4 congruent sides. Explain why quadrilateral is a rhombus.
,, and are the centers of the three circles. Which line segment is congruent to ?
In the construction, A is the center of one circle, and B is the center of the other.
Explain why segment is the same length as segment .
AB ⊥ CD
In this diagram, line segment is the perpendicular bisector of line segment . Assume the conjecture that the set of points equidistant from and is the perpendicular bisector of is true. Is point closer to point , closer to point , or the same distance from both points? Explain how you know.
A sheet of paper with points A and B is folded so that A and B match up with each other.
Explain why the crease in the sheet of paper is the perpendicular bisector of segment . (Assume the conjecture that the set of points equidistant from and is the perpendicular bisector of segment is true.
Here is a diagram of a straightedge and compass construction.
is the center of one circle, and is the center of the other. Explain why the length of segment is the same as the length of segment .