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
borishaifa [10]
4 years ago
8

Given that triangle abc is congruent to triangle def which of the following statements much be true according to CPCTC?

Mathematics
2 answers:
pickupchik [31]4 years ago
5 0

Answer:

The correct option is A) \angle B \cong \angle E.

Step-by-step explanation:

Consider the provided information.

It is given that the ΔABC ≅ ΔDEF.

Now according to CPCTC:

Corresponding parts of congruent triangles are congruent.

Now consider the figure 1:

In figure 1, ΔABC ≅ ΔDEF therefore 3 pairs of congruent sides and congruent angles are shown below:

$\overline{AB} \cong \overline{DE}

$\overline{BC} \cong \overline{EF}

$\overline{AC} \cong \overline{DF}

Now 3 pairs of congruent angles are:

\angle A \cong \angle D

\angle B \cong \angle E

\angle C \cong \angle F

Now, match the provided options.

By observing the provided options it can be concluded that the correct option is A.

The correct option is A) \angle B \cong \angle E.

ivolga24 [154]4 years ago
3 0
Given that triangle ABC is congruent to triangle DEF, then by CPCTC, angle B is congruent to angle E.
You might be interested in
How should the decimal point in 34.05 be moved to determine the product 34.05×106 ?
r-ruslan [8.4K]

Answer: Six places to the right

Step-by-step explanation:

For this exercise it is important to remember that. by definition, the exponent of a number indicates the number of times you must use the same factor to multiply.

Given:

b^n

"b" is the base and "n" is the exponent.

In this case, you have the following multiplication provided in the exercise:

34.05*10^6

Notice that the base 10 has an exponent 6. This indicates the following:

10^6=10*10*10*10*10*10=1,000,000

By definition, moving the decimal point 6 places to the right (because there are six zeros), is the same as multiplying the decimal number 34.05 by 1,000,000.

  Therefore, based on the explained, when you move the decimal point six places to the right, you get the following product.

34.05*10^6=34,050,000

3 0
3 years ago
Manual and his friends celebrated his birthday at the FunTimes game center. He spent 4/7 of his money on go-karts and now he has
ioda

Answer:$4.07

Step-by-step explanation:

6 0
3 years ago
Please tell me the answer I have been struggling. PS this is middle school math
sammy [17]

Answer:8

Step-by-step explanation

7 0
3 years ago
Read 2 more answers
PLS ANSWER THE QUESTION I POSTED BEFORE THIS ONE, I NEED DEM SMART PEOPLE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
solniwko [45]

Answer:

ok

Step-by-step explanation:

8 0
3 years ago
Fill in the blank with a number to make the expression a perfect square.<br><br> U^2 + 2u + ?
babymother [125]

Answer:

u² + 2u + <u>1</u>

Step-by-step explanation:

In the question it's asking to find the the number in the blank to make the expression a perfect square.

Let the number in the blank be 'x'.

To guess 'x' , use the algebraic identity :- (a + b)^2 = a^2 + (2 \times a \times b) + b^2

While matching the expression with identity , the expression will look like this :- <em>u² + 2ux + </em><u><em>x²</em></u>

In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".

⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)

⇒ <u>x²</u> = <u>1</u>

∴ The number in the blank is 1.

6 0
4 years ago
Other questions:
  • Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi
    6·2 answers
  • How do you figure out a sum of 2 number, like the sum of 24 and 75?
    12·2 answers
  • De un grupo de 150 personas, 60 son hombres, 70 practican básquet, y de estas últimas, 24 son mujeres. Cuántos hombres no practi
    6·1 answer
  • Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·1 answer
  • EASY POINTS.........
    12·2 answers
  • WHATS THE VOLUME GOD BLESS WILL MARK BRAINLIST
    13·2 answers
  • What is the tangent of an equal to
    14·1 answer
  • Evaluate each expression if a = 6, b = 3, and c = 2.
    7·2 answers
  • Please answer correctly math problemo
    14·1 answer
  • Drag the tiles to the correct boxes to complete the pairs.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!