Answer:
See below.
Step-by-step explanation:
All statements of congruent angles and congruent segments are correct.
A similarity statement can be written ...
Write a similarity statement ...
ABCD ~ HJKL
The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.
This is the correct reason:
"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."
"A similarity ratio is a ratio that compares the <u>lengths</u> of the corresponding sides of two similar polygons. The ratio is written in the same order as the <u>two</u>
<u>polygons.</u>"
For the similarity ratio, we use two corresponding sides.
AB = 8; HJ = 12
AB/HJ = 8/12 = 2/3
The similarity ratio of ABCD to HJKL is 2/3.
Answer:
1. 7 , 2. 4, 3. 29, 4. 71
Step-by-step explanation:
63 / 5 = 12.6 or 12 remainder 3
Answer:
y= 2x - 4
Step-by-step explanation:
If complementary then sum of the angles = 90
#54
3x + 16 +4x-3 = 90
7x-13=90
7x = 90-13
7x = 77
x = 11
m<A=3x + 16 = 3(11) + 16 = 49
m<B = 4x - 3 = 4(11)-3=41
#55
4x-2+7x+4=90
11x+2=90
11x = 90-2
11x = 88
x = 8
m<A = 4x-2 = 4(8) - 2 = 30
m<B =7x+4 = 7(8) + 4 = 60
