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If three corresponding sides of one triangle are proportional to three sides of another then the triangles are similar?
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What is the triangle equality theorem?
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
If six parts of one triangle are equal to the corresponding parts of another triangle the triangles are?
nonononono
If the hypotenuse and an adjacent angle of a right triangle are congruent to the corresponding hypotenuse and angle of another right triangle will the two triangles be congruent?
Yes.
What is Side-Side-Side postulate?
The Side-Side-Side (SSS) postulate states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent. In other words, if the lengths of the three sides of one triangle are equal to the lengths of the corresponding three sides of another triangle, then the two triangles are congruent.
If two angles and a non included side of one triangle are congruent to be corresponding two angles and side of another then triangles are congruent?
Yes, they are.
What is the triangle equality theorem?
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
If six parts of one triangle are equal to the corresponding parts of another triangle the triangles are?
nonononono
What are the four congruence theorems for a right triangle?
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
If two angles of one triangle are equal to two angles of another triangle then the triangles are similar because of the?
If the angles are the same and the sides are proportional by ratio then they are said to be similar triangles.
If the hypotenuse and an adjacent angle of a right triangle are congruent to the corresponding hypotenuse and angle of another right triangle will the two triangles be congruent?
Yes.
What is they angle side angle theorem?
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent.
What are the four congruence postulates?
The postulates that involve congruence are the following :SSS (Side-Side-Side) Congruence Postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.SAS (Side-Angle-Side) Congruence Postulate - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.ASA (Angle-Side-Angle) Congruence Postulate - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.The two other congruence postulates are :AA (Angle-Angle) Similarity Postulate - If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.Corresponding Angles Postulate - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another then the triangles are congruent?
Yes, they are.
What is Side-Side-Side postulate?
The Side-Side-Side (SSS) postulate states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent. In other words, if the lengths of the three sides of one triangle are equal to the lengths of the corresponding three sides of another triangle, then the two triangles are congruent.
If two angles and a non included side of one triangle are congruent to be corresponding two angles and side of another then triangles are congruent?
Yes, they are.
Which of these best describes the hypotenuse-angle theorem?
The theorem is best described "If the hypotenuse and an acute angle of a right triangle are equal respectively to the corresponding parts of another right triangle, then the triangles are congruent."
What is HYL Congruence Theorem?
HyL Congruence Theorem : if a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangle,then the triangles are congruent._eytiin cu ;)
