Untitled Quiz

The set of all possible x-values in a function, equation, or inequality.

The perpendicular segment from the vertex of a right triangle to the hypotenuse.

The intersection point of the medians of an equilateral triangle. It's also the center of the triangle and the three medians are equal.

The angle formed by a horizontal line and the line of sight to a point that is below the horizontal line.

A polygon with sides of unequal length and angles of unequal measure.

In a trapezoid, the base angles are supplementary when the lines are parallel.

120 degrees.

The sum of the lengths of all sides of the triangle

The vertical distance from the water surface to the bottom of the pond where the pole's base is located.

An isosceles triangle has at least two equal angles, and the sum of the angles is 180 degrees.

An exterior angle of a regular polygon is formed by extending one side of the polygon. Find an exterior angle in a regular hexagon.

When two parallel lines are intersected by a transversal, certain angles are equal or supplementary. Find the angle.

Two triangles are congruent if their corresponding sides and angles are equal.

Find the length of the segment ST in a right-angled triangle with given side lengths and perpendiculars.

In a right triangle, the altitude to the hypotenuse divides the triangle into two similar triangles.

The longest side in a right-angled triangle, opposite the right angle.

The measure of one interior angle of a regular convex polygon with 'n' sides is given by the formula: (n - 2) * 180 / n

The cosine of any angle in an equilateral triangle is 1/2.

In a right triangle with hypotenuse 'i', legs 'j' and 'k', and altitude 'h', the hypotenuse can be expressed as i = jk/h.

Corresponding sides of similar triangles are proportional. This ratio applies to all pairs of corresponding sides.

The side length of a square inscribed in an equilateral triangle with side length 's' is given by (s√3 - s)/3.

In a triangle, an angle bisector divides the opposite side into segments proportional to the lengths of the other two sides.

The product of all possible values for the unknown side length in a right triangle is equal to the square of the hypotenuse.

The distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by the distance formula: √((x2 - x1)^2 + (y2 - y1)^2)

Conditions that guarantee a quadrilateral is a parallelogram include: 1. Opposite sides parallel (AB||CD, AD||BC) 2. Opposite sides parallel and congruent (AB||CD, AB=CD) 3. Opposite sides congruent (AB=CD, AD=BC) 4. One pair of opposite Sides parallel and congruent (AB||CD, AB=CD)

If an angle bisector of a triangle also divides the opposite side into segments of equal length, the triangle is isosceles.

A diagonal divides a 20-gon into two polygons with a combined number of sides equal to the original number of sides plus one.

In a trapezoid with parallel bases, the angles on the same side of one base are supplementary (add up to 180 degrees).

The sum of the interior angles of a polygon with n sides is (n-2)180 degrees.

The maximum number of intersection points when two squares in a plane intersect is 8.

If a point (P) inside a quadrilateral (ABCD) is equidistant to all vertices, the quadrilateral has two pairs of congruent sides.

A regular hexagon has 6 lines of symmetry.

The side length of square X, which shares a vertex with square S and has one side on squares T and R.

The total distance traveled by a bug moving from vertex S to T to U to V to W, where each vertex is part of at least one of the shown squares, expressed as a + b, where a and b are positive integers.

The measure of angle PQS in the diagram, where a regular hexagon and a regular pentagon share side QR and RS is a side of the hexagon.

The perimeter of triangle MNP given that RST ~ MNP, RS = 10, MN = 12, ST = 17, and RT = 26.

The area of triangle MNP given that RST ~ MNP, RS = 10, MN = 12, and the area of RST is 1000.

A transversal is a line that intersects two or more parallel lines. When parallel lines are intersected by a transversal, specific angle pairs are formed. These pairs have specific relationships, like being congruent or supplementary.

The sum of the interior angles of a hexagon is 720 degrees. Each angle in a regular hexagon measures 120 degrees.

An exterior angle of a polygon is formed by extending one side of the polygon. Each exterior angle and its adjacent interior angle are supplementary (add up to 180 degrees).

In a right triangle, the two sides that form the right angle are called the legs. The side opposite the right angle is the hypotenuse, and it is the longest side.

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This can be written as a^2+b^2=c^2, where c is the hypotenuse.

An isosceles triangle has two equal sides and two equal angles. The two equal angles are opposite the two equal sides.

The sum of the measures of the interior angles of any triangle is always 180 degrees.

Corresponding angles are formed when a transversal intersects parallel lines. They are in the same relative position at each intersection point and are congruent (equal in measure).