Question

Helpp mathhhh

Answer 1

CPCTC stands for : corresponding parts of congruent triangles are congruent.

16) A) ∠GAE≅∠GEA

17) if y° =22° so angle A = 2y=then angle A=44°
Since this triangle ABC is isosceles (AB=AC given), then Angle B= Angle C
In a triangle we know that the sum of all angles =180°, the 44°+2C=180
& C= (180-44)/2 = 68  (C)

18) C)BC≅CE is not necessarily true

19) Reflexive Property; Given

20) Right Triangles ABC & AED are congruent::
CB=ED (given)
Angle C = D (given)
Angle B = E =90° (given)
The 2 triangles are congruent ASA & AC = AD
Now we have the equalities:
1) BC=ED ===> x=y-1
And
2) AC=AD ===> 3x-2 = 2y+1
Let' arrange these 2 equations:

x-y = -1
3x-2y =3

Solving this system with 2 variables x & y gives: X=5 & Y=6 (D)