You need only know the radius of each circle to determine that they are congruent. If the radii are identical, the circles are identical. This can also be determined by comparing the diameters (twice the radii), or the circumferences, or the areas of the circles. In all cases, if the parameters are identical, the circles are identical.
No, because they need not be congruent.
The answer depends on what is already known about the two triangles.
Because Corresponding Parts of Congruent Triangles, there are five ways to prove that two triangles are congruent. Show that all sides are congruent. (SSS) Show that two sides and their common angle are congruent. (SAS) Show that two angles and their common side are congruent. (ASA) Show that two angles and one of the non common sides are congruent. (AAS) Show that the hypotenuse and one leg of a right triangle are congruent. (HL)
To show that triangles ABC and DEF are congruent by the AAS (Angle-Angle-Side) theorem, you need to establish that two angles and the non-included side of one triangle are congruent to the corresponding two angles and the non-included side of the other triangle. If you have already shown two angles congruent, you would need to prove that one of the sides opposite one of those angles in triangle ABC is congruent to the corresponding side in triangle DEF. This additional information will complete the criteria for applying the AAS theorem.
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We don't know what has already been proven congruent, sowe're in no position to be able to say what elseis required.
For a start, you would need to know what efg and jkl are.
No, because they need not be congruent.
__ - __ AC = XZ = is the similar sign
Angle "A" is congruent to Angle "D"
The answer depends on what is already known about the two triangles.
That depends on which sides have not been proven congruent yet.
Line segment BC is congruent to Line Segment YZ
Bc= qr
bc yz
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Because Corresponding Parts of Congruent Triangles, there are five ways to prove that two triangles are congruent. Show that all sides are congruent. (SSS) Show that two sides and their common angle are congruent. (SAS) Show that two angles and their common side are congruent. (ASA) Show that two angles and one of the non common sides are congruent. (AAS) Show that the hypotenuse and one leg of a right triangle are congruent. (HL)