QuestionIdentify the two true statements: 1) A line is one-dimensional. 2) A plane has an endpoint. 3) The intersection of two planes can be a line. 4) Parallel lines intersect at 45 degrees.
Studdy Solution
STEP 1
Assumptions1. We understand the basic definitions and properties of lines, planes, and angles in geometry.
. A line is one-dimensional.
3. A plane is two-dimensional and does not have an endpoint.
4. The intersection of two planes can be a line.
5. Parallel lines never intersect.
STEP 2
Evaluate each statement based on the assumptions.
Statement1 "A line is one dimensional."
This statement is true. By definition, a line is one-dimensional. It has length but no width or height.
Statement2 "A plane has an endpoint."
This statement is false. By definition, a plane is two-dimensional and extends infinitely in all directions. It does not have an endpoint.
Statement "The intersection of two planes can be a line."
This statement is true. If two planes intersect, they do so along a line.
Statement4 "Parallel lines intersect at45 degree angles."
This statement is false. By definition, parallel lines never intersect.
STEP 3
Identify the two true statements.
The two true statements are "A line is one dimensional." and "The intersection of two planes can be a line."
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