given <1= (and curved on top of = sign), proof that m<1 = m<5.
statement reason
1. <1=(with line above<2 given
2. <2 = (with line above = sign)<5
symmetry of property of equality
3. statement blank reason transitive prop. of angle congruence
(was given)
4.m<3 + m<5 substitution property.
Are my answers correct and I don't know 3 3 statement. Thanks for your help.
without some kind of explanation of the angles and the diagram, I don't think you can get much help here.
By the way, ≅ is congruent. Rather than describing the symbol, why not just say congruent?
And your opening sentence is bogus, since you don't say what <1 ≅ to
Based on the information provided, the statements you have made are not entirely correct.
Here's a revised step-by-step explanation with the reason for each statement:
1. Given: ∠1 ≅ ∠2 (with line above the angle symbol)
Reason: This is the given information.
2. ∠2 ≅ ∠5 (with line above the equality sign)
Reason: Symmetric Property of Equality. If two angles are congruent, then the order in which they are written does not matter.
3. ∠1 ≅ ∠5
Reason: Transitive Property of Angle Congruence. If angle A is congruent to angle B, and angle B is congruent to angle C, then angle A is congruent to angle C.
Regarding statement 3 in your question, it appears that it is incomplete or missing information. Without that statement, it is difficult to provide a specific reason or explanation for it.
However, in your provided statements, it seems like you are trying to use the Substitution Property (statement 4) incorrectly. The Substitution Property allows you to substitute an equal value for another value in an equation or statement. In your case, there is no equation or statement that directly involves ∠3 or ∠5, so it is not appropriate to use the Substitution Property in this context.
Please provide the complete statement or revise your explanation to include the missing information, and I'll be happy to assist you further.