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
zlopas [31]
3 years ago
11

Which statement explains why ABC is congruent to A A'B'C' ?

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

The two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.

Step-by-step explanation:

Rigid Transformation is a transformation which PRESERVES (keeps it SAME) the LENGTH and the ANGLES in an image and pre- image.

Here, as we can ΔABC goes under Rigid Transformation in to the ΔA'B'C'

⇒Sides AB, BC and AC correspond to the sides A'B',B'C' and A'C' respectively.

Also the ∠A, ∠B and∠C correspond to  ∠A', ∠B' and∠C' respectively.

Now, in  ΔABC and ΔA'B'C

AB  = A'B'

BC  =   B' C'

AC  = A'C'

⇒The two given triangles are congruent by SIDE SIDE SIDE property.

Also, ∠A  = ∠A'

∠B  =   ∠B'

⇒The two given triangles are congruent by ANGLE ANGLE property.

Hence the two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.

You might be interested in
which of the following inequalities matches the graph? graph of an inequality with a solid line through the points 0, negative 2
gladu [14]
1) Equation of the line
Slope, m = [-2 -1]/[0 - 2] = -3 / -2 = 3/2y-intercept, b = -2
y = 3x/2 - 2

2) InequalityThe points over the line have y-coordinate greaetr than the value of the line, then
y ≥ 3x/2 - 2
2y ≥ 3x - 4
3x - 2y ≤ 4
3) Answer: 3x - 2y less than or equal to 4.
3 0
3 years ago
PLEASE HELP ME I WILL GIE BRAINLYEST
nydimaria [60]

Answer:

the first box

fourth box

fifth box and last box

Step-by-step explanation:

4 0
2 years ago
La altura de un triángulo equilátero cuyo perimetro mide 45 cm ?
OLga [1]

Search it up!!!!!!!!

3 0
3 years ago
A parallelogram has a base of 9 inches and a height of 11 inches. What is the area? ​
Margaret [11]
11 x 9 = 99

The area is 99 inches.
5 0
3 years ago
Read 2 more answers
4(x+5)+4x+8
kvasek [131]
B.) 8(x+4) is the best choice
6 0
3 years ago
Read 2 more answers
Other questions:
  • A salad recipe calls for 1 3/4 cups of chopped tomatoes. The recipe calls for 4 1/7 times as many cups of lettuce as tomatoes. H
    14·1 answer
  • The letter b represents a constant. Solve the equation for x . bx=−7
    13·1 answer
  • What is compounding​
    5·1 answer
  • If g(x) is the inverse f(x) and f(x)=4x+12,what is g(x)
    11·1 answer
  • What is the surface area of the triangular prism?
    15·2 answers
  • Adrianna runs up 4.5 flights of stairs. How far will Arianna have to run down to represent an additive inverse?
    14·1 answer
  • Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid sing
    6·1 answer
  • Т<br> -2 &gt;<br> - 7<br> 6<br> what’s the solution??
    7·1 answer
  • Find the difference of the two expressions.<br> (2/5 x + 5) - (1/5 x - 3)
    11·2 answers
  • What is the equation of a line parallel to y=-4x-7 that passes through 2,29
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!