H-Geom Test 5 to Earn Curve-2023

Front

What is the first step of an indirect proof?

Back

Assume the negation of the statement to prove is true.

Front

If each leg of an isosceles triangle has length 26, what is the range for the length of the base?

Back

0 < x < 52.

Front

Where do the perpendicular bisectors of a right triangle intersect?

Back

At the midpoint of the hypotenuse.

Front

In triangle DON, if DO = 23, ON = 18, and DN = 36, which angle is the largest?

Back

∠O.

Front

What justifies the statement: If m ∠ I < m ∠ C and m ∠ C < m ∠ U, then m ∠ I < m ∠ U?

Back

Transitive property of inequality.

Front

What is an indirect proof?

Back

A proof that assumes the negation of the statement to be proved and derives a contradiction.

Front

What is the definition of an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What is the triangle inequality theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What is the definition of a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the relationship between the angles and sides in a triangle?

Back

The larger the angle, the longer the opposite side.