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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 64E

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Question

4
5
Determine a series of transformations that would map polygon ABCD onto polygon A'B'CD'.
18-18-18
A dilation k=2
E
Breflection over x axis
5
c reflection over y axis
D'
1345
F dilation k = 1/2
G| dilation k = 3/2
89 19 19 19
rotation 90 degrees clockwise
rotation 90 degrees counterclockwise
Select all that apply.

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The ABC Toy Company is creating two similar pieces for a board game, as shown below. How could the toy maker confirm that the pieces are similar using the definition of similarity in terms of similarity transformations? triangles GHI and JKL Verify ∠G ≅ ∠J and ∠I ≅ ∠L by reflection. Verify segment GH ≅ segment JK and segment GI ≅ segment JL by reflection. Verify ∠G ≅ ∠J and ∠I ≅ ∠L by translation. Verify segment GH ≅ segment JK and segment GI ≅ segment JL by translation.
Select all of the transformations that will map a regular pentagon onto itself. Select all of the transformations that will map a regular pentagon onto itself. A reflection along the y-axis A reflection along the x-axis A 180° rotation about the center of the pentagon A 144° rotation about the center of the pentagon A 72° rotation about the center of the pentagon
Given:CB∥ED;CB≅EDProve: CBF ≅ EDF using isometric (rigid) transformations. DFCOutline the necessary transformations to prove CBF ≅ EDF using a paragraph proof. Be sure to name specific sides or angles used in the transformation and any congruency statements. E
Lacy is given a kite with one diagonal. To prove △ ADB ≅△ CDB, she wants to verify that corresponding pairs of sides and corresponding pairs of angles are congruent using just one rigid transformation. Which of the following transformations would accomplish this task? a.) A reflection of △CDB about diagonal BD¯. b.) A 180° rotation of △ CDB about point C. c.) A translation of △CDB until point C from △CDB maps to point A from △ADB. d.) A dilation of △CDB about point B until ∠B in both triangles are congruent.
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Given: line CB ∥ line ED; line CB ≅ line EDProve: triangle CBF ≅ triangle EDF using isometric (rigid) transformations.Outline the necessary transformations to prove triangle CBF ≅ triangle EDF using a paragraph proof. Be sure to name specific sides or angles used in the transformation and any congruency statements.
Apply the transformation T (x, y) = (0.8x − 0.6y, 0.6x + 0.8y) to the scalene triangle whose vertices are (0, 0), (5, 0), and (0, 10). What kind of isometry does T seem to be? Be as specific as you can, and provide numerical evidence for your conclusion.
Given: line CB || line ED; line CB = line ED Prove: triangle CBF = triangle EDF using isometric (rigid) transformations outline the necessary transformations to prove triangle CBF = triangle EDF using a paragraph sure to name specific sides or angles used in the transformation and any congruency statements.
Isosceles trapezoid RSTU, with K as midpoint of RS, Las midpoint of ST , M as midpoint of TU , and N as midpoint of RU , is shown. Point P is the intersection of KM and NL. RK S P M Which transformation carries the trapezoid onto itself? O A. a 90* rotation clockwise about P O B. a 180° rotation clockwise about P O c. a reflection over KM D. a reflection over NL
Which transformation will NOT carry the rectangle onto itself a) Rotation 180 degrees about the origin b) Rotation 180 degrees about (-1, 0) c ) Reflection over the x-axis d) Reflection over x = 1
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