In the figure, QN¯¯¯¯¯¯¯¯ is the perpendicular bisector of LM¯¯¯¯¯¯¯¯¯. Which of the following can be used to prove that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯?

First, state that PL¯¯¯¯¯¯¯≅PM¯¯¯¯¯¯¯¯¯ by the definition of a perpendicular bisector. Second, state that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯ because of the definition of congruence.

First, state that PL¯¯¯¯¯¯¯≅PM¯¯¯¯¯¯¯¯¯ because corresponding parts of congruent triangles are congruent. Second, state that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯ because of the definition of congruence.

First, prove that △LNP≅△MNP by the side-side-side theorem. Second, prove that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯ by showing that PL¯¯¯¯¯¯¯≅PM¯¯¯¯¯¯¯¯¯ because corresponding parts of congruent triangles are congruent.

First, prove that △LNP≅△MNP by the side-angle-side theorem. Second, prove that point P is equidistant from the endpoints of LM¯¯¯¯¯¯¯¯¯ by showing that PL¯¯¯¯¯¯¯≅PM¯¯¯¯¯¯¯¯¯ because corresponding parts of congruent triangles are congruent.

Arestaurant charges $100 to rent its banquet room for an event. it also charges $15 to serve dinner to each guest. write an equation for the total cost of the banquet room in terms of the number of guests. deine your variables. what is the total cost of the banquet room for 20 guests?

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel