What is theorem 20 in geometry?
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What is theorem 20 in geometry?
Theorem 20: If two sides of a triangle are congruent, the angles opposite the sides are congruent.
What is theorem 33 in geometry?
theorem 33. if two lines are cut by a transversal such that two corresponding angles are congruent, the lines are parallel. theorem 34. if two lines are cut by a transversal such that two interior angles on the same side of the transversal are supp, the lines are parallel.
What is the first theorem of geometry?
The first such theorem is the side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Following this, there are corresponding angle-side-angle (ASA) and side-side-side (SSS) theorems.
How many theorems are there?
Wikipedia lists 1,123 theorems , but this is not even close to an exhaustive list—it is merely a small collection of results well-known enough that someone thought to include them.
What is the relationship of ∠ 1 and ∠ 2?
∠1 and ∠2 are supplementary. 90 + m∠2 = 180 Substitute 90 for m∠1. m∠2 = 90 Subtract 90 from each side.
What is theorem 11 in geometry?
Theorem 11: If three parallel lines cut off equal segments on some transversal line, then they will cut off equal segments on any other transveral.
What is the angle relationship of 4 and 6?
6 and 4 are alternate exterior angles and thus congruent which means angle 4 is 65°.
What are angles 5 and 6?
Angle 5 and 6 are supplementary, so if angle 5 is 150 degrees, then angle 6 is 30 degrees.
What is La theorem?
First, there’s the LA theorem. This is the leg-acute theorem. It states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
What is the angle relationship of 1 and 8?
Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8. All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.
What is the relationship between ∠ 1 and ∠ 2?
They are equals if the two intersected lines by the transversal are parallel. In the figure, angles 1 and 2 are corresponding. The 1 is external and the 2 is internal.
What is La angle?
Leg Acute Angle or LA Theorem is the theorem which can be used to prove the congruence of two right triangles. Explanation : If a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, then the two right triangles are congruent.
