PLEASEEE HELP ME Triangle ABC and triangle LMN are shown in the coordinate plane below.
Part A: Explain why triangle ABC is congruent to triangle LMN using one or more reflections, rotations, and translations.
Part B: Explain how you can use the transformations described in Part A to prove triangle ABC is congruent to triangle LMN by any of the criteria for triangle congruence (ASA, SAS, or SSS).

Reflection with (0,0) as centre. As we count 5 across and 2 up ( to the centre) for ABC and reflect this from the centre to LMN with 5 across and 2 down for LMN

5/3 = rise/run

Translation 180 degree rotation around centre of origin

Step-by-step explanation:

Side-Side-Side (SSS) Rule

Side-Side-Side is a rule used to prove whether a given set of triangles are congruent.

The SSS rule states that:

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

If AB = ML and AC = NL  and BC = NM, then triangle ABC is congruent to triangle LMN.

sss rule

Side-Angle-Side (SAS) Rule

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent.

The SAS rule states that:

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

An included angle is an angle formed by two given sides.

included and non-included angle

Included Angle           Non-included angle

If AB = ML, AC = NL and angle C< = angle N, then by the SAS rule, triangle ABC is congruent to triangle LMN.

Angle-Side-Angle (ASA) Rule

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent.

The ASA rule states that:

If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

Angle-Angle-Side (AAS) Rule

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent.

The AAS rule states that:

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

If AC = NL, angle A = angle L, and angle B = angle M, then triangle ABC is congruent to triangle MNL.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week