January 3, 2017 Do Now Today I can map similar figures onto one another HW: p , CR 6 due Friday
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1 January 3, 2017 Do Now Today I can map similar figures onto one another HW: p , CR 6 due Friday Reminders: Quiz Tues Jan 10 Benchmark Exam Jan 19 & 20 Chapter test Feb 2 Do Now Graph Rectangle (1,1), B(4,1), C(4,2), D(1,2) fter a dilation, 'B' = 6, state the scale factor. Graph the dilation (center origin) of BCD.
2 Figures with the same shape, but not necessarity the same size are said to be similar. Two figures are similar if and only if one figure can be mapped onto the other figure by a series of rigid motions and/or dilations. Name the transformations
3 nswer count carefully! let's try it on your dry erase board Sketch r C (D B,2 ( BC)) B C
4 Sketch the similarity transformation D,2 ( D C,3 (BC)) tip: make your sketch of BC small What is the scale factor of this transformation? B C Like your HW The point (4,10) is a vertex of a triangle. The triangle is reflected about the y axis, dilated by a scale factor of 2 with origin as the center of dilation, then translated up 5. What are the final coordinate of this vertex? Solution: Start with (4,10) reflect on y axis ( 4,10) dilate by 2 ( 8, 20) translate up 5 ( 8, 25)
5 Write your answer on a post it note. tranformation changes the size of a figure but maintains its shape. What do you know about the transformation? January 4, 2017 Do Now HW?s Today I can find corresponding sides of similar figures Reminders: HW: p Quiz Tues Jan 10 Benchmark Exam Jan 19 & 20 Chapter Test Feb 2
6 Do Now The perimeters of 2 similar pentagons BCDE and FGHJK are in the ratio of 3 to 2. Two corresponding sides are labeled 4.5 and x. Find HJ 3 ( 19,12) (37,12)
7 similarity transformation jan 3 4.notebook Facts about similar triangles re these two triangles similar? If triangles are similar, what do you know about their corresponding sides? January 05, 2017
8 similarity transformation jan 3 4.notebook January 05, 2017 Recall what we learned before break Put this into words... P= = P= = ratio of ratio ratio sides of perimeter of area
9 Example BC ~ XYZ. The ratio of their perimeters is 1:3. What is the ratio of the sides? 3 Find the length of Find the ratio of the areas? B 5 4 C X XZ Z Y Today I can recognize similar triangles & their corresponding parts. Given: PQR ~ TSR, QR = 5, RS = 10 What similarity transformaon can map PQR to TSR? P Q R S List all congruent angles and proporonal sides. T
10 Today I can recognize similar triangles & their corresponding parts. CT and DOG are equilateral triangles. CT ~ DOG. C = 1, DG = 3 What similarity transformaon can map CT to DOG? O C T D G List all congruent angles and proporonal sides. Today I can recognize similar triangles & their corresponding parts. Given: Circle has radius 4 and Circle B has radius 12 What similarity transformaon can map Circle to Circle B? B ll circles are similar!
11 Write your answer on a post it note. BC ~ XYZ and have a scale factor (or similarity ratio) of 3:2 What is the ratio of their perimeter? What is the ratio of their areas? January 5, 2017 Do Now HW?s Today I can prove 2 triangles are similar using HW: p 289 1, 3, 8, 10, 11 Reminders: Quiz Tues Jan 10 Benchmark Exam Jan 19 & 20 Practice Test Jan 23 Chapter Test Feb 2
12 Do NOw!!!! X Y X Z Z Z U Y V Which triangle is not similar to the other three and why???
13 FG 6 FG =12 9 ngle ngle Similarity Theorem Two triangles are similar if 2 angles of one triangle are congruent to two angles of the other triangle.
14 State if the triangles in each pair are similar. If similar, write the similarity statement. 1) ~ State if the triangles in each pair are similar. If similar, write the similarity statement. 2) ~
15 3) BC ~ EFG Solve for x and y. x =, y = B F 50 2x G E y (x+15) C Solve for x and y. 4) CT ~ DOG x =, y = O (3x) O (x + 75) O C y T D G or try the challenge 15
16 similarity transformation jan 3 4.notebook January 05, 2017 Reminders: > Quiz Wed 1.11 > Benchmark 1.19 & 1.20 > Practice Test Mon 1.23 > Test Wednesday 2.2 Homework: p289 #1, 3, 8, 10, 11 State if the triangles in each pair are similar. 40O 25O 25O 115O 45O 45O
17 Today I can prove two triangles similar. Solve for x and y. 3. BC ~ EFG 4. CT ~ DOG x =, y = x =, y = B F 50 E 2x G O (3x) O y C T y (x+15) C D (x + 75) O G
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0815geo. Geometry CCSS Regents Exam In the diagram below, a square is graphed in the coordinate plane.
0815geo 1 A parallelogram must be a rectangle when its 1) diagonals are perpendicular 2) diagonals are congruent ) opposite sides are parallel 4) opposite sides are congruent 5 In the diagram below, a
2ft. 2yd. a, 6 days:15 days can be written as the fraction
For use with pages 357-3B3 ratio is a comparison of a number a and a nonzero number b using division. n equation that states that two ratios are equal is called a proportion. In the proportion a ~ = c
Geometry Third Quarter Study Guide
Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,