What is theorem 20?

Theorem 20: If two sides of a triangle are congruent, the angles opposite the sides are congruent.

What is theorem 21?

theorem 21. if the two angles of a triangle are congruent the sides opposite the angles are congruent.

What is theorem 2 in math?

Theorem 2: If a point lies outside a line, then exactly one plane contains both the line and the point.

What is postulate 20 in geometry?

Postulate 20: Side-Angle-Side (SAS) Congruence Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

What is the theorem 22 in geometry?

Theorem 22. An altitude of an equilateral triangle is also a median. Theorem 23. Altitudes of congruent triangles are congruent.

Everything About Circle Theorems - In 3 minutes!

What is theorem 23?

Theorem 23: If two angles are both supplementary and congruent, then they are right angles. Corollary to theorem 23: If two angles that form a linear pair are congruent, then they are right angles.

What is theorem 2 2 in geometry?

Theorem 2-2 If two lines intersect, then exactly one plane contains both lines. and Q on the line, P corresponds to zero, and Q corresponds to a positive number. number called the measure of the distance between the two points. Theorem 3-1 Every segment has exactly one midpoint.

What is Lobachevsky theorem 20?

20. If in any rectilineal triangle the sum of the three angles is equal to two right angles, so is this also the case for every other triangle.

What is theorem 3?

Theorem 3: If a transversal makes equal alternate angles on two lines then the lines are parallel.

What is postulate 10?

Postulate 10: (Parallel Postulate) Through a point not on a line, exactly one line is parallel to the given line. Postulate 11: (Corresponding Angles Postulate) If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

What is theorem 10.2 math?

Theorem 10.2 : Tuul vecause of the following theorem: 10.2 : If the angles subtended by the chords of a circle at the centre equal, then the chords are equal.

What is theorem 10 2 in geometry?

Theorem 10.2 If the angles subtended by the chords of a circle at the center are equal, then the chords are equal.

What is the 12th math theorem?

Theorem 12: Let ABC be a triangle. If a line l is parallel to BC and cuts [AB] in the ratio s:t, then it also cuts [AC] in the same ratio.

What is theorem 19?

Theorem 19: The angle at the centre of the circle standing on a given arc is twice the angle at any point of the circle standing on the same arc.

What is theorem 30?

The theorem says that. : the square on the hypotenuse is equal to the sum of the squares on the other two sides.

What is theorem 18?

Author: SeamusMcCabe. Topic: Area, Parallelogram. This demonstrates that any side of a parallelogram can be regarded as the base and in each case there is a corresponding height. The area is found by multiplying any base by the corresponding height.

What is theorem 4?

Converse: If a triangle has two angles equal in measure, then the sides opposite these angles are equal in measure (i.e. the triangle is isosceles).

What is theorem 26?

26: If two triangles have two angles respectively equal to two angles and one side equal to one side, whether that at the equal angles or that subtending one of the equal angles, it will also have the remaining sides respectively equal to the remaining sides and the remaining angle to the remaining angle.

What is theorem 61?

Theorem 61: If two similar triangles have a scale factor of a : b, then the ratio of their areas is a² : b².

What is theorem 2.3 in geometry?

Theorem 2.3.

Two triangles are congruent if two angles and an unincluded side of one triangle are equal respectively to two angles and the corresponding unincluded side of the other triangle (AAS=AAS).

What is theorem 6.13 in geometry?

The area of a trapezoid is equal to the average value of the bases times the height.

What is theorem 5?

Theorem 5: Two lines are parallel if and only if, for any transveral, the corresponding angles are equal. Primary.

What is theorem 2 9?

Theorem 2-9 (Special case of the converse of the corresponding angle theorem shown in picture) If two lines are perpendicular to the same line, then they are parallel to each other. Triangle Angle-Sum Theorem.

What is theorem 2.11 in geometry?

2.11 Perpendicular lines form congruent adjacent angles. 2.12 If two angles are congruent and supplementary, then each angle is a right angle. 2.13 If two congruent angles form a linear pair, then they are right angles.