Chapter 2: Q5. (page 57)
In the diagram, and . Find the measures of the following angles.
x | ? | ? | ? | ? |
Short Answer
The following table represents the required solution:
x |
Chapter 2: Q5. (page 57)
In the diagram, and . Find the measures of the following angles.
x | ? | ? | ? | ? |
The following table represents the required solution:
x |
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Get started for freeConsider the following statements:
Reflexive Property: Robot A is as rusty as itself.
Symmetric Property: If Robot A is as rusty as Robot B, then Robot B is as rusty as Robot A.
Transitive Property: If Robot A is as rusty as Robot B and Robot B is as rusty as Robot C, then Robot A is as rusty as Robot C.
A relation such as “is as rusty as” that is reflexive, symmetric, and transitive is an equivalence relation. Which of the following are equivalence relations?
a. Is rustier than
b. Has the same length as
c. Is opposite (for rays)
d. Is coplanar with (for lines)
Prove the following statements by filling in the blanks.
Given: is the bisector of
Proof:
Statement | Reasons |
1. is the bisector of | 1. ? |
2. ?, or ? | 2. ? |
3. | 3. ? |
4. , or | 4. ? |
5. | 5. ? |
6. | 6. Substitution Prop. (Steps ? and ?) |
Write a definition of a right angle as a biconditional.
Provide a counterexample to show that each statement is false.
Statement: If a four-sided figure has four congruent sides, then it has four right angles.
Justify each statement with a property from algebra or property of congruence.
If then .
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