Drections. Determine which postulate can be used to prove the triangles are congruent then identify the valid congruency statement. Color the picture according to your answers.
A
B
D
2
P
R
S
ASA
AAS
SAS
SAS
SSS
10
ASA
3
6
4
11
8
ACDE & AFDE ADEC = AEDF AECD = ADFE APRQ = ARPS
Gray
Yellow Light Blue Light Green
AQPR = ASRP APQR z APSR
Dark Purple
Pink

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.