Answer:
The coordinates of the reflected triangle are
,
and
.
Step-by-step explanation:
Let be a point
, reflections across x- and y-axes are represented by the following operations:
x-Axis reflection:



y-Axis reflection:



If we know that
,
and
, the coordinates after both reflections are, respectively:



The coordinates of the reflected triangle are
,
and
.
Answer: 10
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Explanation:
Segment TU must be congruent (equal in length) to segment UV in order for the angle TSV to be bisected by segment SU
Bisected = cut in half
So because TU = UV, we can say,
TU = UV
3x+18 = 4x+8
3x+18-3x = 4x+8-3x
18 = x+8
18-8 = x+8-8
x = 10
Answer:
15/32 in fraction form. 3/4 x 5/8 = 0.4688 in decimal form.
Step-by-step explanation:
Answer:
Part A :
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is divided by 3.
Part B :
P"(-1,2), Q"(0,3), R"(1,0)
Part C :
Triangle PQR and P"Q"R" are not congruent because congruent means equal and similar but triangle PQR and P"Q"R" are proportional because they are rational to each other but do not have the same measures of sides but the angles are congruent.
This is the graphing of the triangle.
Answer:
circumference= 32.56
area= 44.18
Step-by-step explanation:
for area: (A=pi×r^2) your diameter is 7.5 so you divide that by 2 to get your radius. and the radius is 3.75. then you are going to do 3.75^2 to get 14.1 then you are going to multiply 14.1 by pi to get 44.18
for circumference: (2×pi×r) you are going to take the same radius for the area and simply multiply that by pi (3.14) to get 11.78, then you are going to multiply 11.78×2 and that equals 23.56