Lesson 8 Parallelogram Conjectures and Proof Solidify Understanding
Use a compass and a straightedge to bisect the following line segments.
Construct the midpoint,
Construct the angle bisector of
Construct a square inscribed in the circle.
Construct a regular hexagon inscribed in the circle.
State whether each statement is true or false. If it is false, explain why or rewrite the statement to make it true.
If a triangle is equilateral, then the median and the altitude are the same segments.
The perpendicular bisectors of the sides of a triangle also bisect the angles.
Some of the angles in a triangle equal
An altitude of a triangle may fall on the exterior of the triangle.
The third angle in a triangle is always the supplement to the sum of the other
In a right triangle, the
All squares are also rectangles.
A rhombus is always a square.
If a figure is a trapezoid, then it is also a parallelogram.
The diagonals of a rectangle bisect the angles.
A parallelogram can have
The figure made by two pairs of intersecting parallel lines is always a parallelogram.
All of the angles in a parallelogram can be congruent.
A diagonal always divides a quadrilateral into
If a quadrilateral goes through a translation, the sides of the pre-image and image will remain parallel.