2013-2014

Geometry

Second Nine Weeks Study Guide

  1. Which lines are //? Justify.
  1. Give the Symbolic form of the following:
  2. Conditional statement ______
  3. Contrapositive Statement______
  4. Converse Statement______
  5. Inverse Statement______
  6. Conjunction______
  7. Disjunction______
  8. Therefore______
  9. Law of detachment
  10. Law of syllogism
  11. Law of contrapositive
  1. What determines if lines are parallel?______
  2. How do you prove triangles are Congruent?______
  3. How do you prove triangles are similar?______
  4. If you are given two sides of a triangle, how do you determine the length of the third side? ______

Use the following points for questions 7-12.

A( -6, -2) and T( 1, -9)

  1. Find the distance of the . ______
  2. Find the midpoint of .______
  3. Find the slope of .______
  4. Find the slope of a line parallel to .______
  5. Find the slope of a line perpendicular to .______
  6. If T is the midpoint of . Find the integral coordinate for Z.______
  1. Name all the angle pairs and the relationships you can use to ensure a//b .

Use your answers to question 4 to answer questions 14-16.

  1. Given: What would prove ? ______
  1. Given: What would prove ?______
  1. Given: What would Prove ?______
  1. Fill in the Blanks for the proportional parts of the following Diagramif .
  1. AC = 3, ED = 9, AB = 4, EB = ______
  1. Is ? ______
  1. In List the sides in order from longest to shortest.______
  1. In List the angles in order from smallest to largest.______
  2. Would 9.8, 5.1 and 4.7 form a triangle?______
  3. Given What would prove that ?______
  1. On a map Richmond, Virginia Beach and Suffolk form a triangle. Richmond to Virginia beach is 140 miles, Virginia Beach to Suffolk is 50 miles. What is the possible distance from Richmond to Suffolk?
  1. Given the statement: If I ride my bike, then I will be in shape. Write the following statements.
  1. Converse:______
  2. Inverse:______
  3. Contrapositive:______
  4. Biconditional:______
  1. Given the If the angles are compliments of each other find the measures of the two angles.
  1. Given the If the angles are supplements of each other find the measures of the two angles.

Use the diagram below to answer questions 28 and 29.

  1. (All, Some, None) Subscribers belong to AT&T and Verizon.______
  2. How many customers do not subscribe to AT&T and Verizon?______
  1. Given: Find the value of X.______
  1. If Find the length of if represents the hypotenuse. ______
  1. Fill in the blanks for the following Proof:

Given:

Prove:

Statements / Reasons
1. / 1.
2. / 2.
3. / 3.Vertical Angles
4. / 4.
  1. Fill in the blanks for the following proof:

Given:

Prove:

Statements / Reasons
1. : / 1.
2. / 2.
3. / 3.
4. / 4.Reflexive property
5. : / 5.
  1. Given the Diameter of circle P is with A(-2, 5) and B(4, -2). Write the equation of circle P.
  1. Given: The Equation of the circle is . Name the center of the circle and the radius of the circle.
  1. Fill in the missing angle measures, given line sand line t are parallel.
  1. Given line s//t. Solve for x.

a. m4 = 77o and 8 = (4x + 57)o
b. = (5x + 13)o and 5 = 53o
c. = (6x – 5)o and = 115o /
  1. Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
  1. Solve for the missing angle measures.
  1. Fill in the missing angles.
  1. Draw a construction for the bisector of an angle and a perpendicular bisector of a line segment.

Technology Enhanced Items

42. In triangle ABC, side is 15cm and side is 21cm. What are the possible side lengths of side ?

43. In the triangle below, find the value of x.

44. For the triangle below, list the side length in order from smallest to largest.

B

SIDES

A

C

45. Given: B is the midpoint of , , and || .C

Prove: ABM BCN

BN

AM

Statements / Reasons
1. B is the midpoint of , , and || . / 1. Given
2. ______/ 2. Definition of Midpoint
3. / 3. ______
4. ABM BCN / 4. ______

46. Given: and A

Prove: ABC ADF

F C

D

B

Statements / Reasons
1. and / 1. Given
2. / 2. ______
3. ABC ADF / 3. ______