Figure abcd is a parallelogram. if point c lies on the line y= -1, what is the x-value or point c?
a. 1
b. 2
c. 3
d. 4

The correct answer is option D.  4

Step-by-step explanation:

Points to remember

Opposite sides of the parallelogram are equal.

From the figure we can see that,AB and CD are opposite sides.

Therefore AB = CD

To find the length of AB

From the figure we get, AB = 4 units

Therefore CD = 4 units

To find the x coordinate of point C

y coordinate is -1

x coordinate is 4 units from point D

x coordinate of D is 0, therefore x coordinate of C = 0 + 4 = 4

The correct answer is option D. 4

it 2

step-by-step explanation:

8^1/3=2

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.