taylormumaw22
contestada

1.) Identify the triangle congruence postulate or theorem (SSS, SAS, ASA, AAS, or HL) that proves the
triangles are congruent. If the triangles are not congruent, state not congruent.
HINT: label the corresponding congruent parts in just one of the triangles.
(6 total points: 1 point for each correct congruence postulate)
PLEASE NEED HELP ASAP!!

1 Identify the triangle congruence postulate or theorem SSS SAS ASA AAS or HL that proves the triangles are congruent If the triangles are not congruent state n class=

Respuesta :

Two triangles are congruent if they meet they both meet the rules for congruency

The rules that makes the given triangles congruency are;

a) SSS

(b) SAS

(c) ASA

(d) Not congruent

(e) AAS

(f) HL

Reasons:

(a) Segment QS ≅ Segment QR; Same number of tic marks indicating congruency

Segment SP ≅ Segment PR; Same number of tic marks indicating congruency

Segment QP ≅ Segment QP; Reflexive property

Therefore;

  • ΔPQS ≅ ΔPQR by Side-Side-Side, SSS, rule of congruency

(b) Segments AC, BC, on ΔABC ≅  Segments CD, CE, on ΔCDE Given

m∠DCE ≅ m∠ACB; Vertically opposite angles postulate

Therefore;

  • ΔABC ≅ ΔDEC by Side-Angle-Side SAS, rule of congruency

(c) Segment ST ≅ Segment TU; Given

m∠RST = m∠VUT = 90°; Given

∠VTU = ∠RTS; By vertical angle theorem

Therefore;

  • ΔRTS ≅ ΔUTV by Angle-Side-Angle, ASA, rule of congruency

(d) Not congruent because given parameter Side Side Angle not a condition for congruency

Not congruent

(e) ∠GHJ ≅ ∠GFJ; Given

∠HJG ≅ ∠JGF; Given

Segment GJ ≅ Segment GJ; By reflexive property

Therefore;

  • ΔGFJ ≅ ΔGJH; By Angle-Angle-Side, AAS similarity rule

(f) Hypotenuse AB ≅ Hypotenuse DE; Given

Leg AC ≅ Leg DF; Given

Therefore;

  • ΔABC ≅ ΔDFE; by Hypotenuse Leg, HL, rule of congruency

Learn more here:

https://brainly.com/question/21301647

Otras preguntas