Geometry Questions

If the antecedent is false, then the statement is...

Point A is the center of this circle.The ratio of the lengths of ___ and ___ is 2 : 1.

Statement 1: A citizen can vote if he or she is older than 18.Statement 2: A citizen who is younger than 18 cannot vote.How is statement 2 related to statement 1?

Type the correct answer in the box. Spell all words correctly.Point ___ is the vertex of the angle marked in the figure.

Select the correct answer from each drop-down menu.As per an axiom in Euclidean geometry, if ___ points lie in a plane, the ___ containing those points also lies in the same plane.

Select the correct answer from each drop-down menu.Given: U⁢X=W⁢Z V⁢W=X⁢YProve: U⁢V=Y⁢ZStatementsReasons1. U⁢X=W⁢Z1. given2. U⁢X=U⁢V+V⁢W+W⁢XW⁢Z=W⁢X+X⁢Y+Y⁢Z2. segment addition3. U⁢V+V⁢W+W⁢X=W⁢X+X⁢Y+Y⁢Z3. addition property of equality4. U⁢V+V⁢W=X⁢Y+Y⁢Z4. subtraction property of equality5. V⁢W=X⁢Y5. given6. U⁢V=Y⁢Z6. subtraction property of equalityWhere is the first error in this proof?The reason in line ___ does not justify the statement because___Instead, the reason should be ___

On this map, Oxford Street is perpendicular to ___, and Rosewood Street is perpendicular to ___ Street. Assume that the street intersections form right angles.

Which professionals most directly use geometry in their work?

Type the correct answer in the box. Spell all words correctly.Consider the terms pyramid, line, square, and triangle. The term ___ is not defined in Euclidean geometry.

Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?

Which are the best definitions for theorem, conjecture, and axiom?A statement that is assumed to be true without proof is a(n) ___. A statement that has been shown to be true by vigorous application of logic is a(n) ___. A(n) ___is a statement that is believed to be true but hasn't been proven.

Parallelograms, opposite sides are congruent

Parallelogram consecutive angles add up to

Rectangle All angles are ----- angles

Rhombus diagonals ---- opposite angles

Measure of one interior angle of a regular polygon

parallelogram Diagnals ----- each other

Parallelograms opposite angles are not congruent

In the pictured triangle, MS is an angle bisector. What is the length of SO?

In the pictured triangle, XV is an angle bisector. What is the length of XY?