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Will a rectangular will the diagonals not always bisect opposite angles?
The diagonals of a rectangular shape will only bisect opposite angles if, in fact, the shape is a square. Otherwise they will not bisect them.
Is it possible to cut a circular cross section from a rectangular prism?
No, a rectangular prism's cross-section will always have between 1 and 4 (inclusive) straight lines only.
What is most important thing to remember about a rectangular prism?
Just remember- The opposite sides are ALWAYS equal.
Will the perpendicular bisectors of a right triangle always intersect?
yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)
Do intersecting lines always intersect at right angles?
No. Lines can intersect at any possible angle.
Will a rectangular will the diagonals not always bisect opposite angles?
The diagonals of a rectangular shape will only bisect opposite angles if, in fact, the shape is a square. Otherwise they will not bisect them.
Is it possible to cut a circular cross section from a rectangular prism?
No, a rectangular prism's cross-section will always have between 1 and 4 (inclusive) straight lines only.
What is most important thing to remember about a rectangular prism?
Just remember- The opposite sides are ALWAYS equal.
Do two lines always intersect at one point?
If two different lines intersect, they will always intersect at one point.
Can two lines never intersect but not be parallel?
If the lines are in the same plane and never intersect they are always parallel. Two line can not intersect and be parallel if they are in different planes though. Take a cube for example, if you have one Sid of it and take the edge and then go to the opposite side and make a horizontal line they will never intersect but are also not parallel.
Do perpendicular lines always sometimes or never intersect?
Perpendicular lines always intersect and make 90 degree angles. Parallel lines never intersect with each other.
Will the perpendicular bisectors of a right triangle always intersect?
yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)
Do Two planes always intersect in a line?
Some planes are parallel and don't intersect at all. Those that do intersect (and that are not coincident, i.e. the same plane) intersect in a line.
Does three altitudes of a triangle intersect at a vertex always never or sometimes?
Always for it to be a complete triangle with three altitudes it would have to intersect at a vertex.
Do intersecting lines always intersect at right angles?
No. Lines can intersect at any possible angle.
Do skew lines always intersect?
Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.
Do perpendicular lines always intersect?
Yes
