Which statement is not sufficient to determine whether or...

Which statement is not sufficient to determine whether or not two triangles P and Q are congruent? * A. P and Q have exactly the same sides and Q is a translation of P. B. P and Q have exactly the same sides and Q is a reflection of P. C. P and Q have exactly the same sides and Q is a rotation of P. D. P and Q have exactly the same angle measures. The two triangles are congruent. Which angle in triangle DEF corresponds to angle ABC in triangle ABC? * ABC? D A F B C E Name the angle included by the sides PN and NM. * N M he diagrams are n Which congruence statement does NOT necessarily describe if ?DEF ? ?FGH? ?EDF ? ?FGH

Transcript

00:01 In this question we're going to be giving the statement that is not sufficient to determine whether or not two triangles p and q are congruent.

00:13 So not sufficient, that's a keyword.

00:17 Now, the first part a says that p and q have exactly the same sides and q is a translation of p.

00:27 Okay so if they have exactly the same sides then that means they're congruent and q is a translation of b yeah so this is enough to show that these two triangles are congruent in b until that p and q have exactly the same sides and q is a reflection of okay they have the same exact sides and p is a reflection of a reflection of q is a reflection of p then this one will limit us to see the rectangle, the square, but for triangles, some triangles it may not be correct.

01:10 Because in triangles we have indirect congruence where the left becomes right and vice versa.

01:21 So this may not be exactly what we are looking for in comes to congruence, direct congruence.

01:28 Now in part c, and q have exactly the same size and q is a rotation of p.

01:34 Yes.

01:35 So if it's a rotation, it's just a matter of changing the orientation, so that's okay.

01:42 And in part d, p and q have exactly the same angle.

01:47 Now, d is where they have the same angle measures, that doesn't necessarily mean that they are congruent.

01:56 They could be similar, but not congruent.

01:59 So we can rule these out and for b we can go back to option b where they see a reflection with a reflection then there will be congruent but that kind of congruent is called indirect congruent not direct congruent so yes so we can take b as correct but then c is not sufficient because we need all the sites to have the same measure okay so in the next question the two triangles are congruent, which angle in triangle d -e -f corresponds to angle to angle a -b -c, intra -angle a -b -c? so let's look at angle a -b -c.

02:41 Angle a -b -c is the angle at b, and it has two identical marks.

02:46 So we should look for the angle that has two identical marks in the other diagram, that is angle f...

Question

Please give Ace some feedback