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
Kruka [31]
3 years ago
13

Which congruence theorems can be used to prove △ABR ≅ △ACR? Check all that apply. HL SAS SSS ASA AAS

Mathematics
2 answers:
GaryK [48]3 years ago
8 0

Answer:

HL, SSS, SAS  can be used to prove both triangles congruent.

Step-by-step explanation:

In ΔABR And ΔACR we are given following corresponding equal parts,

∠B = ∠C = 90°

AB = AC

BR = CR

AR = AR (common)

1st. ΔABR ≅ ΔACR By HL congruence rule

as Hypotenuse AR = AR & 1 leg AB = AC or BR = CR

2nd ΔABR ≅ ΔACR By SSS congruence rule

as AB = AC & BR = CR & AR = AR (All sides of ΔABR equals to sides of ΔACR)

3rd ΔABR ≅ ΔACR By SAS congruence rule

AB = AC & ∠B = ∠C & BR = CR (2 sides of ΔABR equals to 2 sides of ΔACR and angle between both side are also equal)

ΔABR and ΔACR can not be congruent by ASA & AAS rule because no 2nd equal angle is not given.

Verizon [17]3 years ago
5 0

HL (It's a right triangle and the hypotenuse and leg are congruent. This can also be thought of as SAS.)

SAS (Side angle side. All congruent.)

SSS (Line AR is shared by both triangles. A line is always congruent on itself. The other two are self explanatory.)

ASA and AAS cannot be used because we can only confidently confirm one angle of each triangle.

You might be interested in
A circle has its center at (-2, 5) and a radius of 4 units. What is the equation of the circle? Answer choices:
Vanyuwa [196]
The equation of the circle:
( x - h )² + ( y - k )² = r²;
h = - 2,  k = 5,  r = 4
Answer:
A ) ( x + 2 )² + ( y - 5 )² = 16
4 0
2 years ago
Read 2 more answers
What is 3/4 ÷ 1/6? Please help !......
Reika [66]

Answer:

4 1/2

Step-by-step explanation:

Apply the fractions formula for division, to

3/4÷1/6

and solve

3/6x4/1

=18/4

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(18,4) = 2

18/24÷2/2=9/2

Convert to a mixed number using

long division for 9 ÷ 2 = 4R1, so

9/2=4 1/2

Therefore:

3/4÷1/6=4 1/2

4 0
2 years ago
Yoko runs10 miles in75 minutes. At the same rate, how many miles would she run in 69 minutes?
Ostrovityanka [42]
She would run 9.2 miles.
3 0
3 years ago
Read 2 more answers
What is the equation of the line that is perpendicular to 3x -6y =2 and contains the point (-2,--5)​
julsineya [31]

Answer:

y=-2x-12

Step-by-step explanation:

first, putt 3x-6y=2 in standard form:

subtract 3x from both sides: -6y=-3x+2

divide both sides by -6 to isolate y: y=1/2x-1/3

if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2

now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)

y+2=-2(x+5)

Use the distributive property: y+2=-2x-10

subtract 2 for both sides to isolate y: y=-2x-12

5 0
2 years ago
PLEASE HELP WITH QUESTION THANK U
Darya [45]
What question I didn't get it
6 0
2 years ago
Other questions:
  • Which could be a conditional relative frequency table? A 4-column table with 3 rows. The first column has no label with entries
    10·2 answers
  • There are 5 4/5 cups of milk left in a carton write 5 4/5 as an improper fraction
    5·1 answer
  • ∠1 and​ ​ ∠2 ​ ​are complementary angles.
    14·2 answers
  • What is the equivalent of pi over 6 radians in degrees?
    8·1 answer
  • PLEASE HELP
    7·1 answer
  • Lucas ran 9 miles in 3/4 of an hour. He took a break then returns by traveling that same 9 miles in 2/3 of an hour. How many mor
    9·1 answer
  • PLSSSSSS help ASAP <br> ANSWER 3 OF THEM PLSS
    5·1 answer
  • What is the image of (2,10)(2,10) after a dilation by a scale factor of \frac{1}{2}
    13·1 answer
  • In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find t
    10·1 answer
  • What is the relationship between 21 and 22?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!