University:
High School
Course:
High School Mathematics
Academic year:

2023
Views:

357

Pages:

4
Author:

Mitchell Barr

Chapter 8 & 4 Study Guide 8.1 Dilations Graph the image of the figure after a dilation with a scale factor of 2. A(1, 2), B(3, 4), C(5, 2) A'(2, 4), B'(6, 8), C'(10, 4) A(-1, 2), B(0, 3), C(1, 1) A'(-2, 4), B'(0, 6), C'(2, 2) A(-2, 1), B(-1, 1), C(-1, 5) A'(-4, 2), B'(-2, 2), C'(-2, 10) Determine if the image of triangle ABC with a scale factor of 2 is a dilation of ABC. A(2, 3), B(5, 2), C(3, 1) and A'(4, 6), B'(10, 4), C'(6, 2) Not Similar 8.2 Proving Triangles Similar Determine whether the triangles are similar. If so, write a similarity statement. two triangles ΔDEF ~ ΔGJK by AA two triangles ΔABC ~ ΔACE by AA Find the value of x. two similar triangles x = 4 two similar triangles x = 3 8.3 Proving Triangles Similar by SSS and SAS Determine whether the triangles are similar. If so, write a similarity statement. two triangles ΔDEF ~ ΔJKL by SSS two triangles Similar two triangles Not Similar 8.4 Proportionality Theorems Complete each proportion. triangle with segments AD = 10 triangle with segments WT = 2x + 7 XT = x Solve for the variable. triangle with segments b = 6 c = 22.5 Chapter 8 & 4 Study Guide 4.5 Dilations Graph the triangle and its image after a dilation with scale factor k. A(1, 2), B(3, -1), C(0, 4); k = 3 A'(3, 6), B'(9, -3), C'(0, 12) A(9, 3), B(6, 3), C(3, -3); k = -1/2 A'(-4.5, -1.5), B'(-3, -1.5), C'(-1.5, 1.5) scale factor change the shape of the object by the scale factor k > 1 is an enlargement (bigger) k < 1 is a reduction (smaller) K = image pre-image 4.6 Similarity and Transformations Where is the image of ΔABC with vertices A(1, 2), B(3, -1), and C(0, 4) after the similarity transformation of: Rotation: 180° Dilation: k = 2 A'(-1, -2), B'(-3, 1), C'(0, -4) Describe the similarity transformation that maps ΔABC to ΔXYZ. A(2, 5), B(2, 2), C(1, 2) and X(3, 3), Y(3, 1), Z(2, 1) These shapes are not Similar, if similar... all sides should have the same scale factor

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