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
erastovalidia [21]
3 years ago
9

Please Help ! Will give brainliest!

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

For congruent triangles, all of its corresponding sides and angles are congruent.

Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.

However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.

Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.

The correct statements are I and IV.

You might be interested in
Please help will give brainliest!! thank u
Goshia [24]

9514 1404 393

Answer:

  (c)  162 cm

Step-by-step explanation:

The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.

  RD = 3·54 cm

  RD = 162 cm

5 0
3 years ago
Equation through the point (5,9) with a slope of -4
hoa [83]
The answer is: y=-4x+29

To solve this, you need to know the y-intercept. 
1. y=-4x+b
2. 9+-4(5)+b
3. 9=-20+b
4. b=9+20
5. b=29
6. Substitute into y=-4x+b

4 0
3 years ago
Read 2 more answers
What is the equation of the graphed line written in standard form?
Leno4ka [110]

Answer:

x= -3

Step-by-step explanation:

x equals to -3 is the standard form

5 0
3 years ago
Read 2 more answers
Complete the proof, word bank at bottom
Naya [18.7K]

Answer:

Step-by-step explanation:

2) definition of angle bisector

4) division property of equality

5) division property of equality

6) substitution property

7) SAS similarity

7 0
2 years ago
savannah is painting a striped background for a mural on a wall that is 15 yards long. she wants a total of 96 stripes that’s ar
adell [148]
In this item, we are tasked to determine the calculation that can be done in order to determine the length or width of the painted mural in each striped area. This can be done by dividing the total length by the number of stripes as shown in the equation below.

   Length per stripe = Total length / number of stripes
    Length per stripe = 15 yards / 96 stripes
                           = 0.15625 yard/stripe
8 0
3 years ago
Read 2 more answers
Other questions:
  • A) 4(x+1)=5x+12
    6·2 answers
  • What is 1/2 of 56 as a whole number ??
    13·1 answer
  • Cara buys 2.5 yards of fabric for a dress that she is making. If the fabric costs $4.50 per yard, what does she pay?
    10·2 answers
  • The length of a rectangle is 7 centimeters longer than twice its width. If the perimeter is 68 centimeters, find the width and l
    12·2 answers
  • What is the perimeter of rectangle JKLM?
    6·2 answers
  • 1/3 greater, less or equal than 4/6?
    5·2 answers
  • Please help me with this homework show me how you get it and the answer
    15·1 answer
  • PLEASE HELP ASAP!!! <br> :(
    12·1 answer
  • 2. Write a number or expression in the empty box to create true equations. 1 point
    6·1 answer
  • Which lines are parallel? Why?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!