Given: base ∡bac and ∡acb are congruent.. prove: ∆abc is an isosceles triangle.. when completed, the following paragraph proves that line segment ab is congruent to line segment bc making ∆abc an isosceles triangle.. construct a perpendicular bisector from point b to line segment ac.. label the point of intersection between this perpendicular bisector and line segment ac as point d.. m∡bda and m∡bdc is 90° by the definition of a perpendicular bisector.. ∡bda is congruent to ∡bdc by the definition of congruent angles.. line segment ad is congruent to line segment dc by by the definition

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