This review is a guide and should not be considered "all-inclusive". Be sure to review all notes from class.

1st Semester Final Exam Review 2013-2014

Collinear Points

Opposite Rays

Midpoint

Angle Bisector

Complementary Angles

Supplementary Angles

Adjacent Angles

Linear Pair

Hypothesis

Conclusion

Conditional Statement

Counterexample

Perpendicular Lines

Transversal

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same-Side Interior Angles

Vertical Angles

Isosceles Triangle

Acute Triangle

Obtuse Triangle

Right Triangle

Equilateral Triangle

Scalene Triangle

SSS

SAS

ASA

AAS

HL

Midsegment

Translation

Rotation

Reflection

Formulas:

Midpoint

Distance

Pythagorean Theorem

Slope

Slope-Intercept

Point-Slope

Interior Angles-Polygons

Exterior Angles-Polygons

1. Find the midpoint of and

2. and are complementary angles and . What is ?

3. and are supplementary angles and . What is ?

4. Find the distance between (7, -3) and (11, 6)

5. Find the distance between (3, 8) and (-2, 16)

6. bisects , ,. Find .

7. Draw two lines intersected by a transversal where and are corresponding angles, and are alternate interior angles and and are alternate exterior angles. What type of angles are and? What type are and?

8. Write the equation of a line in point – slope form through (-3, 2) with slope 5.

9. Write the equation of a line in slope – intercept form through (4, -1) with slope -2.

10. Write the equation of a line in slope – intercept form through (7, 0) with slope 3.

11. Write the equation of a line in point – slope form through (-6, 5) and perpendicular to.

12. Write the equation of a line in slope – intercept form through (9, -2) and perpendicular to.

13. Find the midpoint between A(-3, 2) and B(5, 8).

14. M is the midpoint of. K has coordinates (7, 6) and M is (2, -1) What are the coordinates of L?

15. Find the slope between (-15, 4) and (-7, 10).

16. Draw a pair of opposite rays.

17. Draw a pair of vertical angles.

18. If line m is perpendicular to line n, and one of the angles formed is, what is x?

19. If the midsegment of a triangle is 15, what is the length of the side opposite the midsegment?

20. Tell whether the measures can be sides of a triangle. If so, classify as acute, right or obtuse.

a) 7, 24, 25c) 3, 5, 7

b) 11, 18, 34d) 8, 11, 13

21. Write the angles of the triangle in order from least to greatest.

Write the sides of the triangle in order from least to greatest.

22. A triangular park angle measures have a ratio of 4:5:9. What is the measure of the smallest angle?

23. The three angle measures in a triangle have a ratio of 11:12:22. What are all angle measures?

24. Use the figure to the right:

a) If and, what is x and?

b) If and, what is ?

c) If and, what is x?

25. If two lines are perpendicular to each other and the value of one angle formed is , what is the value of x?

26. If the midsegment of a triangle is 3n – 7 and opposite side is 52, what is the value of n?

27. is isosceles with. XY = 3x + 7, YZ = 5x + 1 and XZ = 8x – 5.

Find x, XY, YZ and XZ.

28. Which postulate/theorem proves the triangles congruent?

a) b) c)

29. Identify the hypothesis and conclusion in each conjecture:

a) If a person is 18 years old, then that person can vote.

b) A number is divisible by 3 if it is divisible by 6.

30. Find a counterexample to show that the conjecture is false.

Any number divisible by 3 is divisible by 6.

31. Find the coordinates of the image of the point (5, -2) when reflected across the line y = 10.

32. Find the coordinates of the image of the point (-3, -7) when reflected across the line x = 4.

33. Translate the vertices A(2, 5), B(4, 4) and C(2, -3) along the vector

34. Three trees are at the vertices of a park. Tree #1 is opposite the side measuring 375 feet, Tree #2 is opposite the side measuring 216 feet and Tree #3 is opposite the side measuring 206 feet. What tree has the smallest angle at its vertex? Which tree has the largest angle at its vertex?

35. Find the measure of each interior angle of a regular octagon.

36. Find the values of x and yfor JKLM to be a parallelogram.

37. is the midsegment of trapezoid PQRS. Find the value of x.

38. Find the value of x so that ABCD is an isosceles trapezoid.