LESSON Measuring and Constructing Segments 1-2 - Welcome to Mrs ...

LESSON Measuring and Constructing Segments 1-2

Lesson Objectives (p. 13): ______________________________________________________________ ______________________________________________________________ ______________________________________________________________

Vocabulary 1. Coordinate (p. 13): ______________________________________________ ______________________________________________________________ 2. Distance (p. 13): ________________________________________________ ______________________________________________________________ ______________________________________________________________ 3. Length (p. 13): __________________________________________________ ______________________________________________________________ 4. Congruent segments (p. 13): ______________________________________ ______________________________________________________________ 5. Construction (p. 14): _____________________________________________ ______________________________________________________________ 6. Between (p. 14): ________________________________________________ ______________________________________________________________ ______________________________________________________________ 7. Midpoint (p. 15): ________________________________________________ ______________________________________________________________ ______________________________________________________________

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

10

Geometry

LESSON Measuring and Constructing Segments 1-2

Lesson Objectives (p. 13): _u_se__le_n_g_t_h_a_n_d__m__id_p_o_in_t_o_f_a__s_e_g_m_e_n_t_;_c_o_n_s_tr_u_c_t _m_i_d_p_o_in_t_s_a_n_d__co_n_g_r_u_e_n_t___ _se_g_m__e_n_ts_.______________________________________________________ ______________________________________________________________

Vocabulary 1. Coordinate (p. 13): t_h_e__n_u_m_b_e_r_o_n__a_r_u_le_r_c_o_r_r_e_sp_o_n_d_i_n_g_t_o_a__p_o_in_t_.________ ______________________________________________________________ 2. Distance (p. 13): t_h_e_a_b_s_o_l_u_te__v_a_lu_e__o_f _th_e__d_if_fe_r_e_n_c_e_o_f_t_h_e_c_o_o_r_d_in_a_t_e_s_o_f___ _tw_o__p_o_in_t_s_. _____________________________________________________ ______________________________________________________________ 3. Length (p. 13): t_h_e_d_i_s_ta_n_c_e__b_e_tw__e_e_n_t_w_o_p_o_i_n_ts_.________________________ ______________________________________________________________ 4. Congruent segments (p. 13): s_e_g_m__e_n_ts__th_a_t_h_a_v_e__th_e__s_a_m_e__le_n_g_t_h_. ________ ______________________________________________________________ 5. Construction (p. 14): a__w_a_y__o_f _c_re_a_t_in_g__a_f_ig_u_r_e_t_h_a_t _is__p_re_c_i_se_._____________ ______________________________________________________________ 6. Between (p. 14): a__p_o_in_t_(_B_)_i_s_s_a_i_d_t_o_b_e__b_e_tw_e_e_n__p_o_in_t_s_A__a_n_d__C__if_it_i_s_o_n___ _th_e__s_a_m_e__lin_e__a_s_A__a_n_d__C__a_n_d_h_a_s__th_e__p_ro_p_e_r_ty__A_B____B_C____A_C_.___________ ______________________________________________________________ 7. Midpoint (p. 15): t_h_e__p_o_in_t_th_a_t__d_iv_id_e_s__th_e__s_e_g_m_e_n_t_i_n_to__tw_o__c_o_n_g_ru_e_n_t______ _se_g_m__e_n_ts_.______________________________________________________ ______________________________________________________________

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

10

Geometry

LESSON 1-2 CONTINUED

8. Bisect (p. 15): __________________________________________________ ______________________________________________________________

9. Segment bisector (p. 16): _________________________________________ ______________________________________________________________ ______________________________________________________________

Key Concepts 10. Postulate--Ruler Postulate (p. 13):

1-2-1

11. Postulate--Segment Addition Postulate (p. 14): 1-2-2

12. Get Organized Make a sketch and write an equation to describe each relationship. (p. 16).

Sketch

B is between A and C

B is the midpoint of AC

Equation

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

11

Geometry

LESSON 1-2 CONTINUED

8. Bisect (p. 15): t_o__d_iv_id_e__a_s_e_g_m__e_n_t _in_t_o_t_w_o__co_n_g_r_u_e_n_t_s_e_g_m_e_n_t_s_.__________ ______________________________________________________________

9. Segment bisector (p. 16): a_n_y__ra_y_,_s_e_g_m__e_n_t,_o_r_l_in_e__th_a_t_i_n_te_r_s_e_ct_s_a__s_e_g_m_e_n_t_ _a_t _it_s_m_i_d_p_o_in_t_. __________________________________________________ ______________________________________________________________

Key Concepts 10. Postulate--Ruler Postulate (p. 13):

1-2-1 The points on a line can be put into a one-to-one corresondence with the real numbers.

11. Postulate--Segment Addition Postulate (p. 14): 1-2-2 If B is between A and C, then AB BC AC.

12. Get Organized Make a sketch and write an equation to describe each relationship. (p. 16).

Sketch

B is between A and C

B is the midpoint of AC

A

B

C

A

B

C

Equation

AB BC AC

AC 2BC 2AB AB BC

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

11

Geometry

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