1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reika [66]
2 years ago
14

Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(4, −8), Q(0, 12), and R(−4, 0). Triangle P′Q′R′ has

vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Mathematics
1 answer:
Tom [10]2 years ago
6 0

Part A:

The scale factor is 1/4, because you obtain the coordinates of points P', Q', R' by dividing the coordinates of P, Q and R respectively by 4.

Part B:

Reflecting about the y axis causes a sign swap in the x coordinate. So, the new point will be

P''(-1, -2),\quad Q''(0, 3),\quad R''(1, 0)

Part C:

The triangles are similar, but not congruent. When you transform PQR into P'Q'R', you get a scaled version of the original triangle. This means that the angles and the proportion between sizes will be the same, but the length are scaled by 1/4, and the area is consequentially scaled by 1/16.

Triangles P'Q'R' and P''Q''R'' are congruent, so they are both similar but not congruent to the original triangle.

You might be interested in
How can you find the areas of the faces of the prism
In-s [12.5K]

Answer:

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Step-by-step explanation:

give me brainliest please

5 0
2 years ago
What is the coefficient of x in 4x/5 a)1/5 b.5 c.4/5 d.4 e.-0.8
almond37 [142]

Answer:

C

\frac{4}{5}

Co efficient means the number or value beside preventing the variable from standing alone

6 0
3 years ago
Read 2 more answers
China issued the largest stamp ever, 210mm Long and 65mm wide. Find the ratio of length to width
lora16 [44]
210 : 65 
----------------------
42 : 13 is the ratio of 210mm long and 65mm wide
----------
<span>divide both numbers by 5</span>
7 0
3 years ago
The figure is made up of 2 hemispheres and a cylinder.
Setler [38]

Answer:

Hemisphere radius = 3 inch

Sphere volume = 4/3 • π • radius^3

Sphere volume = 4/3 • π • 27

Sphere volume = 113.0973355292 cubic inches

Cylinder Volume = π • radius^2 • height

Cylinder Volume = π • 9 * 10

Cylinder Volume = 282.7433388231 cubic inches

TOTAL VOLUME = 113.10 + 282.74 cubic inches

TOTAL VOLUME = 395.84 cubic inches

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
0.8 is 20% of what number?
Rom4ik [11]

0.8 is 20% of 4. This is because 20% of something occurs when something is divided by 5, since it is 1/5 of 100. You multiply 0.8*5, and you get 4.

6 0
3 years ago
Other questions:
  • What is the length of sr<br> 9<br> 12<br> 15<br> 18
    9·1 answer
  • The following graph shows Barry's monthly phone bill and the number of minutes used. About how many minutes did Barry consume if
    10·1 answer
  • The width and length of the bulletin board are whole numbers what is the width of the bulletin board if the length is 4 feet
    15·1 answer
  • Evaluate the expression w^2 - v + 1 for w = -2 and v = -8.<br> -3<br> -11<br> 13<br> 5
    9·1 answer
  • Plot a point C that divides the segment into the<br> ratio AC:AB= 3/4
    7·1 answer
  • A family of 8 mice move into your barn. After 3 months, there are now 51 mice. At 8 months, how many mice will you have in your
    14·1 answer
  • What is the equation of the line shown on the graph? (-3,1) (2,-4)
    15·1 answer
  • A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
    11·2 answers
  • Please do this &lt;33333
    10·1 answer
  • The line perpendicular to y=3/4x+7 containing (3,-4)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!