Chapter 2: Q3. (page 57)
In the diagram, , , and . Name eight right angles.
Short Answer
The required angles are, , , , , , and.
Chapter 2: Q3. (page 57)
In the diagram, , , and . Name eight right angles.
The required angles are, , , , , , and.
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Get started for freeTell whether each statement is true or false. Then write the converse and tell whether it is true or false.
If , then .
State which definition, postulate, or theorem justifies the statement about the diagram.
If bisects , then .
Consider 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)
Provide a counterexample to show that each statement is false. You may use words or draw a diagram.
If , then
Prove the following statement by filling in the blanks.
If A and B have coordinated a and b, with , and the midpoint M of has coordinate x, then prove .
Proof:
Statement | Reasons |
1. A, M, and B have coordinated a, x, and b respectively; . | 1. ? |
2. | 2. ? |
3. M is the midpoint of . | 3. ? |
4. , or | 4. ? |
5. | 5. ? |
6. ? | 6. ? |
7. | 7. ? |
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