HW # 114- Review the posted ppt. STAR testing tomorrow (in your 2b class) Warm Up Pass your HW TOC forward. Check your HW and study quietly for 5 minutes. (Write this on your warm up page.) p )plane ABE perpend. plane CDE 1)angles ABD and DBE 7) 55 degrees angles EBF and FBC 8) 125 degrees 2)angles ABD and DBE 9)125 degrees angles ABE and EBC 10) x=37 11)x=53 12) 21 ft angles ABF and FBC 13) parallelogram 3)Angles ABE and EBC 14) parallelogram, rhombus, rect, sq 4)Lines EF and AD 15) D(-1,-2) 5)Plane ABC || plane HGF 16)S(1,-1) Week 33, Day One

Warm Up Response a)

Homework Check p. 404 #1-16 all AND p. 405

Chapter 8 (CPM) Quiz Chapter 8 (HOLT) Section 8-6 Congruent Polygons

Congruent ( ≅ ) Geometric figures that have the SAME SIZE and SHAPE are congruent. LINE segments are congruent if they have the SAME LENGTH ANGLES are congruent if they have the same DEGREE MEASURE.

Congruent Polygons Polygons are congruent when there is a way to match up their vertices so that all pairs of CORRESPONDING ANGLES and all pairs of CORRESPONDING SIDES are CONGRUENT.

Congruent Polygons Triangle ABC and Triangle PQR are congruent Triangles

Congruent Polygons Use the figures to complete each statement. – PQ ≅ ____ – <C ≅ ____ – ABC ≅ ______ – If the length of AB is 8 cm., then the length of _____ is also 8 cm. – If m<A = 50°, then the m<P = ______

Congruent Polygons Are these triangles congruent?

IDENTIFY CONGRUENCE TRANSFORMATIONS B A C B A C If you slide ΔABC down and to the right, it is still congruent to ΔDEF. E D F

IDENTIFY CONGRUENCE TRANSFORMATIONS B A C B A C If you turn ΔABC, it is still congruent to ΔDEF. E D F

IDENTIFY CONGRUENCE TRANSFORMATIONS B A C B A C If you flip ΔABC, it is still congruent to ΔDEF. E D F

4.1 Congruent Polygons

Naming & Comparing Polygons ♥ List vertices in order, either clockwise or counterclockwise. ♥ When comparing 2 polygons, begin at corresponding vertices; name the vertices in order and; go in the same direction. ♥ By doing this you can identify corresponding parts. A D C B E DCBAE P I J K H IJKPH <D corresponds to < I AE corresponds to PH

Name corresponding parts Name all the angles that correspond: A D C B E P I J K H < D corresponds to < I  C corresponds to  J  B corresponds to  K  A corresponds to  P  E corresponds to  H DCBAEIJKPH Name all the segments that correspond: DC corresponds to IJ CB corresponds to JK BA corresponds to KP AE corresponds to PH ED corresponds to HI How many corresponding angles are there? How many corresponding sides are there? 55

How many ways can you name pentagon DCBAE? A D C B E 10 Do it. DCBAE CBAED BAEDC AEDCB EDCBA Pick a vertex and go clockwisePick a vertex and go counterclockwise DEABC CDEAB BCDEA ABCDE EABCD

Polygon Congruence Postulate If each pair of corresponding angles is congruent, and each pair of corresponding sides is congruent, then the two polygons are congruent.

Congruence Statements Given: These polygons are congruent. Remember, if they are congruent, they are EXACTLY the same. That means that all of the corresponding angles are congruent and all of the corresponding sides are congruent. DO NOT say that ‘ all the sides are congruent ” and “ all the angles are congruent ”, because they are not. G H F E C D B A CONGRUENCE STATEMENT ABCD = EFGH ~

Prove: ΔLXM = ΔYXM ~ X Y M L Statements Reasons XY = XL Given LM = YM Given XM = XM Reflexive Property <LXM = < YXM Given < L = < Y Given < XMY = < SML Right angles ΔLXM = ΔYXM Polygon Congruence Postulate ~ ~ ~ ~ ~ ~ ~