Chapter 1: Foundations for Geometry/Review Assignment Sheet # Name Completed? 1 Pythagorean Theorem 2 Notes: Points, Lines Planes and Angles 3 1-1 Practice B and C 4 Measuring Segments and Angles 5 Measuring and Constructing Angles 6 Notes: Understanding Angles 7 Angle Pair Relationships 1 8 Angle Pair Relationships 2 9 Segments and Angles 10 Notes: Distance, Midpoint and Slope 11 Distance, Midpoint and Slope 12 Review 13 Chapter Test Name Score /10
19 September 20 21 22 23 Problem Solving Monday Basic Skills Quiz #1 Pythagorean Theorem #2 Notes Day #3 1-1 Practice B and C PSM 26 #4 Measuring Segments and Angles 27 #5 1-3 Reteach 28 #6 Notes Day 29 #7 Angle Pair Relationships 1 30 3 4 5 6 7 PSM #8 Angle Pair Relationships 2 #9 Segments and Angles #10 Notes Day #11 Distance, Midpoint, and Slope 10 11 12 13 14 PSM #12 Review Chapter Test HW: Study
Name Pythagorean Theorem NR Geometry Chp 1 Wksht #1
Name Notes: Points, Lines, and Planes NR Geometry Chp 1 Wksht #2 Vocabulary Point: Line: Line Segment: Ray: Angle: Plane: Shade XYZ : X A Z Y R B C
Name Understanding Points, Lines and Planes NR Geometry Chp 1 Wksht #3
Name Measuring Segments and Angles NR Geometry Chp 1 Wksht #4 Vocabulary: Congruent: Same size and shape (equal measure) Midpoint: Separates the segment into two congruent segments Bisect: To divide into two equal parts Name each of the following. A B A C A D A E A F A G A 1.) The point on DAthat is 2 units from D 2.) Two points that are 3 units from D 3.) The coordinate of the midpoint of AG 4.) A segment congruent to AC 5.) Use the number line below for a-d. Tell the length of each segment and whether or not the segments are congruent. a.) LN and MQ b.) MP and NQ c.) MN and PQ d.) LP and MQ
Hint: When there is no picture, DRAW ONE! For exercises 10-13, T is the Midpoint of PQ. Find the value of PT for each example. 10.) PT 5x 3 and TQ 7x 9 11.) PT 4x 6 and TQ 6x 2 12.) PT 7x 24 and PQ 13x 26 13.) Y XYZ 67 X R o and o XYR 41 find m RYZ. Z 14.) o XYZ 72, 2x 6 XYR, RYZ 4x 12, find m RYZ. X R Y Z 15.) YR is the angle bisector of XYZ. If XYR 3x 7 and RYZ 7x 13, find m XYZ. X R Y Z
Name Measuring and Constructing Angles NR Geometry Chp 1 Wksht #5
Name Notes: Understanding Angles NR Geometry Chp 1 Wksht #6 Vocabulary Complementary: Supplementary: Adjacent: Linear: Vertical: - Angle 1 and Angle 2 are supplementary. If angle 1 = 2x+7 and angle 2 = 4x-7, what is the measure of angle 1?
1. 2. 3. 4. 5. 6. Name the following and solve for the missing angles. Angle 1 = 125 o Angle 2 = Angle 3 = 91 o Angle 4 = Angle 5 = Angle 6 =
Name Angle Pair Relationships 1 NR Geometry Chp 1 Wksht #7
Name Angle Pair Relationships 2 NR Geometry Chp 1 Wksht #8 Name the relationship: complementary, supplementary, vertical or adjacent. Find a or b. Find the measure of the missing angle(s).
Find the value of x SHOW WORK!
Name Segments and Angles NR Geometry Chp 1 Wksht #9
Name Notes: Distance, Midpoint, and Slope NR Geometry Chp 1 Wksht #10 Formulas Midpoint Formula: Distance Formula: Slope Formula: Find the Midpoint of segment AB with the following coordinates A(11, 5) B(-5, 2). Find the distance of segment AB with the following coordinates A(11, 5) B(-5, 2). Find the slope of segment GH with coordinates G(3, 5) and H (-1, 1).
Name Distance, Midpoint, and Slope NR Geometry Chp 1 Wksht #11 Formulas: Slope Midpoint Distance 1 2 1 2 x x y y 2, 2 1 2 1 2 y y x x 2 1 2 2 1 2 ) ( ) ( x x y y d
Name Chapter 1 NR Geometry Chp 1 Wksht #12 Know the following definitions and any appropriate symbols (ie segment AB = AB ) Point Plane Line Line Segment Ray Angle Congruent Perpendicular Supplementary Complementary Bisect Bisect Collinear Noncollinear Coplanar Noncoplanar Adjacent Vertical Angles Midpoint Distance Acute Obtuse Straight Angle Right Angle Area Supplement Complement Examples: A C 1.) Use the diagram on the right to answer the following question: If m<abd=79 o, m<abc=3x-4 and m<cbd=7x+3, are <ABC and <CBD congruent why or why not? B D 2.) Given the following diagram on below, can you name any perpendicular lines? How do you know? R B C 39 o S 51 o D A T
3.) Find the missing side of the triangle, leave your answer in simplest radical form. 4 4.) Is a triangle with side lengths 3, 4, and 5 a right triangle? Why or why not? 8 5.) What is the length of segment CD whose endpoints are C(3,5) and D(-2, -3). 6.) What is the midpoint of segment AB with coordinates A(5, -7) and B(12, 4)? 7.) What is the other endpoint of segment EF with endpoint E(4, 6) and midpoint M(6, 2)? 8.) What is the supplement of an angle whose degree measure is 72? 9.) Find all of the missing angles 8x+8 4x-2 10.) m<1=4x+3 and m<2=3x+9, if <1 and <2 are supplementary, what is the m<1?