In two right triangles, one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle. Prove that the two triangles are congruent.

In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other. Prove that the triangles are congruent.

If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. Is the statement true? Why?

If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. Is the statement true? Why?

If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle. Can you say that two triangles will be similar? Why?

Two acute angles of a right triangle are equal. Find the two angles.

If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent. GIVEN : Two s A B C and D E F such that /_A=/_D ,/_B=/_E ,B C=E F TO PROVE : A B C~=D E F Figure

Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangles similar? Why?

Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle. GIVEN : Two triangles A B C and D E F such that A B=D E ,A C=D F and /_A=/_D PROVE : A B C~= D E F Figure

Two triangles are congruent if include two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. GIVE : Two triangle A B C and D E F such that /_B=/_E ,/_C=/_F and B C=E F TO PROVE : triangle A B C~=triangle D E F

Theorem 7.4 (SSS congruence rule) : If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.