On a coordinate plane, triangle A B C has points (negative 2, 7), (negative 2, 3), and (negative 6, 3) and triangle D E F has points (negative 2, negative 10), (negative 2, negative 2), and (6, negative 2). Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem. Horizontal and vertical lines are . So, angles are right angles by definition of perpendicular lines. All right angles are . Therefore, △ABC ~ △DEF by the SAS similarity theorem.

Question:

On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).

Given that

Complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.

Horizontal and vertical lines are __(1)__. So, angles are right angles by definition of perpendicular lines. All right angles are __(2)__

Therefore, △ABC ~ △DEF by the SAS similarity theorem.

(1) perpendicular

(2) congruent

Step-by-step explanation:

Required

Fill in the gaps

implies that:

In other words:

AB ~ DE ---- Side (S)

and

BC ~ EF ---- Side (S)

Now to fill in the gap with:

(1) perpendicular

(2) congruent

Further explanation

(1) Vertical lines and horizontal lines meet at a right angle (i.e. 90 degrees). Any two lines that meet at a right angle are perpendicular

(2) Angles with equal measures are congruent. Because right angles have a congruent angles of 90 degrees, then they are congruent.

rounding to the nearest thousandth would be 452,000

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180