Match the property to the appropriate statement. (5 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. If ÐYER @ ÐIOP and ÐIOP @ ÐWXZ then ÐYER @ ÐWXZ If mÐRQS = mÐTEF then mÐTEF = mÐRQS RT = RT If XT = YZ and YZ = UP, then XT = UP IF AB +BC = AC and AB = x+1 and BC = 5x, then x+1 +5x = AC the options are reflexive property symmetric property substitutution property and transitive property

Question

Match the property to the appropriate statement. (5 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. If ÐYER @ ÐIOP and ÐIOP @ ÐWXZ then ÐYER @ ÐWXZ If mÐRQS = mÐTEF then mÐTEF = mÐRQS RT = RT If XT = YZ and YZ = UP, then XT = UP IF AB +BC = AC and AB = x+1 and BC = 5x, then x+1 +5x = AC the options are reflexive property symmetric property substitutution property and transitive property

Answer 1

If ÐYER @ ÐIOP and ÐIOP @ ÐWXZ then ÐYER @ ÐWXZ: transitive property

If mÐRQS = mÐTEF then mÐTEF = mÐRQS: symmetric property
RT = RT: reflexive property
If XT = YZ and YZ = UP, then XT = UP: transitive property
IF AB + BC = AC and AB = x+1 and BC = 5x, then x+1 + 5x = AC: substitution property

Answer 2

The matching properties are:

1. Reflexive property: RT = RT
2. Symmetric property: If ÐYER @ ÐIOP, then ÐIOP @ ÐYER
3. Substitution property: If mÐRQS = mÐTEF, then mÐTEF = mÐRQS
4. Transitive property: If XT = YZ and YZ = UP, then XT = UP
5. Substitution property: If AB + BC = AC and AB = x+1 and BC = 5x, then x+1 + 5x = AC

Answer 3

To match the property to the appropriate statement, let's go through each option and match it with the corresponding statement:

1. Reflexive Property: This property states that a geometric quantity is equal to itself.

2. Symmetric Property: This property states that if angle A is equal to angle B, then angle B is also equal to angle A.

3. Substitution Property: This property states that if two geometric quantities are equal, then one can be substituted for the other in any equation or expression.

4. Transitive Property: This property states that if angle A is equal to angle B, and angle B is equal to angle C, then angle A is also equal to angle C.

Now, let's match the properties to the statements provided in the question:

1. If ÐYER @ ÐIOP and ÐIOP @ ÐWXZ then ÐYER @ ÐWXZ - This statement demonstrates the Transitive Property, as it shows the equality relationship being transitive from ÐYER, ÐIOP, and ÐWXZ.

2. If mÐRQS = mÐTEF then mÐTEF = mÐRQS - This statement reflects the Symmetric Property, as it shows the equality relationship being symmetric between mÐRQS and mÐTEF.

3. RT = RT - This statement reflects the Reflexive Property, as it states that RT is equal to itself.

4. If XT = YZ and YZ = UP, then XT = UP - This statement demonstrates the Transitive Property, as it shows the equality relationship being transitive from XT, YZ, and UP.

5. IF AB + BC = AC and AB = x+1 and BC = 5x, then x+1 + 5x = AC - This statement reflects the Substitution Property, as it demonstrates the substitution of AB and BC into the equation to solve for AC.

Matching the properties to the statements:
- Reflexive Property: RT = RT
- Symmetric Property: If mÐRQS = mÐTEF then mÐTEF = mÐRQS
- Substitution Property: IF AB + BC = AC and AB = x+1 and BC = 5x, then x+1 + 5x = AC
- Transitive Property: If ÐYER @ ÐIOP and ÐIOP @ ÐWXZ then ÐYER @ ÐWXZ, and If XT = YZ and YZ = UP, then XT = UP