CC Geometry Honors Test 4.2 5/5/2021
1 point
Question: *
In AEKF, points G and Hare located on sides EK and FK such that GH is parallel to EF .Which mapping
of AGKH described below would justify that AGKH is similar to AEKF ?
E
(1) a dilation by a factor of
centered at K
10
3
(2) a dilation by a factor of centered at K
2
5
(3) a dilation by a factor of centered at G
3
u | نیا نیا یہ نیا نیا د
15
K
H
F
12
8
centered at G
(4) a dilation by a factor of
O (1)

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.