Assertion: right triangle's angle | /r/HasProperty | congruent
Facets:
value: to each other
type: TRANSITIVE-OBJECT
value: to the corresponding leg
type: TRANSITIVE-OBJECT
value: in an isosceles right triangle
type: LOCATION
value: both
type: DEGREE
value: to the hypotenuse
type: OTHER
Source sentences:
text: 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.
text: This statement is equivalent to the ASA Postulate we've learned about because it involves right angles (which are congruent), a pair of sides with the same measure, and congruent acute angles.
text: If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.
text: This statement is the same as the AAS Postulate because it includes right angles (which are congruent), two congruent acute angles, and a pair of congruent hypotenuses.
text: If all three angles of a triangle are congruent, then the triangle is an equiangular triangle.
text: The LA Theorem states: If the leg and an acute angle of one right triangle are both congruent to the corresponding leg and acute angle of another right triangle, the two triangles are congruent.
text: Right angles are congruent, since every right angle will measure 90°.
text: Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent.
text: Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.
text: In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.