A counterexample is x 5 25. Therefore, Rules A, B, and D do not correctly describe the sequence. Sample answer: An angle bisector is a ray that bisects an angle. C © 2015 College Board. Definition of perpendicular lines; if two lines meet to form a right angle, then the lines are perpendicular. For the second term, add 2. Division or Multiplication Property of Equality 23.
Then I found two more points on the same line that were 5 units from 5, 8 or 8, 12. Subtraction or Addition Property of Equality b. The slopes are not negative reciprocals so the lines are not perpendicular. If I wake up early, then I set my alarm clock. A radius has only one endpoint on the circle. Use 2p and 2q to represent two even integers. Rule A does give the correct second term.
A1 SpringBoard Geometry, Unit 1 Practice 25. C © 2015 College Board. We know that the expression 2pq represents an integer because when you find the product of two or more integers, the result is also an integer. . So there are two possibilities for the other endpoint, 2, 4 and 11, 16.
A value such as x 5 5 makes the hypothesis true and the conclusion false, so the converse is false. The statement is not a theorem because it has not been proved using deductive reasoning. A value such as x 5 5 makes the hypothesis true and the conclusion false, so the contrapositive is false. A value such as x 5 5 makes the hypothesis true and the conclusion false, so the inverse is false. Sample answer: I graphed 5, 8 and 8, 12 and calculated that the distance between them as 5 units. Then 2p 2q 5 2 2pq. Sample answer: They are similar in that they are both line segments and they both have two endpoints on the circle.
Definition of congruent segments 90. A chord has both endpoints on the circle. Sample answer: The first term is 1. Using the Midpoint Formula, I found that the coordinates of the two points were 2, 4 and 11, 16. If lines are parallel, then same-side interior angles are supplementary. Sample answer: The two rays are opposite rays; the two rays lie on the same line.
The intersection of the diameters is the center of the circle. The definition of complementary angles states only that complementary angles are two angles whose sum is 90°. The value x 5 0 makes the hypothesis true and the conclusion false, so the statement is false. If I eat breakfast at a restaurant, then it is a weekend. A5 SpringBoard Geometry, Unit 1 Practice. Substitution © 2015 College Board. A sample counterexample is a triangle with angles of 100°, 40°, and 40°.
For each subsequent term, add 1 more. A2 SpringBoard Geometry, Unit 1 Practice Lesson 4-2 33. For the third term, add 3. In slopeintercept form, that equation is y 5 x 1 3. Addition Property of Equality d. The midpoint will be negative when the distance between 0 and B is less than the distance between 0 and A.
Four angles appear to be obtuse. They are different in that a diameter always goes through the center of the circle but a chord does not have to go through the center of the circle. Sample answer: A point is a position. Find the slope of the line through A and B. The two lines have different slopes so they are not parallel. If an angle is obtuse, then its measure is between 90° and 180°.