Transformations Study Guide, Lecture notes of Technology

The transformations study guide document provides a comprehensive overview of various geometric transformations, including translations, reflections, rotations, and dilations. It presents multiple-choice questions and short-answer problems that test the student's understanding of these concepts. Topics such as finding the coordinates of transformed shapes, identifying the type of transformation, and applying the angle-angle similarity postulate. By studying this document, students can develop a strong foundation in geometric transformations and be well-prepared for related exams and assessments.

Typology: Lecture notes

2020/2021

Uploaded on 02/15/2024

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Transformations Study Guide
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Triangle PQR has vertices P (3, 7), Q (-1, 11) and R (2, 13). What are the coordinates of the vertices of the image
of triangle PQR after a translation of 5 units right and 3 units down?
a.
c.
b.
d.
2. Triangle EFG has vertices E(–3, 1), F(1, 1), and G(4, 5). Find the coordinates of the image of point G after a
reflection across the x-axis.
a.
(4, 5)
c.
(4, -5)
b.
(-4, 5)
d.
(-4, -5)
3. What are the coordinates of the vertices of the image of triangle RST after a rotation of 180° about the origin.
a.
c.
b.
d.
4. Which of the following shows the letter T reflected over the y-axis?
pf3
pf4
pf5
pf8
pf9

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Transformations Study Guide

Multiple Choice Identify the choice that best completes the statement or answers the question.

  1. Triangle PQR has vertices P (3, 7), Q (-1, 11) and R (2, 13). What are the coordinates of the vertices of the image of triangle PQR after a translation of 5 units right and 3 units down?

a. c. b. d.

  1. Triangle EFG has vertices E (–3, 1), F (1, 1), and G (4, 5). Find the coordinates of the image of point G after a reflection across the x -axis. a. (4, 5) c. (4, - 5) b. (-4, 5) d. (-4, - 5)
  2. What are the coordinates of the vertices of the image of triangle RST after a rotation of 180° about the origin.

a. c. b. d.

  1. Which of the following shows the letter T reflected over the y-axis?

a. c.

b. d.

  1. What are the coordinates of triangle FGH after a dilation centered at the origin with a scale factor of 2?

F

G

H

–5 –4 –3 –2 –1 1 2 3 4 5 x

1

2

3

4

5

6

7

y

a. c. b. d.

  1. Graph the translation of ∆ ABC 3 units up and 6 units left.

b. rotation and reflection d. translation and reflection

  1. Find m.

(3x - 70)º

A

B

C

a. m = 40º c. m = 35º b. m = 45º d. m = 50º

  1. Find the angle measures in the scalene triangle.

a. m = 18°, 3m = 54°, 6m = 108° c. m = 36°, 3m = 108°, 6m = 216° b. m = 25°, 3m = 75°, 6m = 175° d. m = 9°, 3m = 27°, 6m = 54°

  1. Draw the image of a triangle with vertices (1, 3), (2, 5), and (4, 3). Then perform the following transformation: perform a 180° rotation about the origin.

a. c.

b. d.

  1. In the diagram below, which angles are alternate interior angles?

a. c. b. d.

  1. In the diagram above, which angles are consecutive angles?
  1. Which triangle is NOT similar to any of the others? a. b. c. d.

Short Answer

  1. In the figure below, lines AB and CD are parallel. The measure of angle 3 is 50º. Find the measures of angles 1, 5 and 6. (6 points; 2 points each part)

a. measure of angle 1 = ______ Explain:

b. measure of angle 5 = ______ Explain:

c. measure of angle 6 = ______ Explain:

  1. Are the two triangles similar? EXPLAIN your reasoning. (5 points)
  1. Graph the image of the quadrilateral after it is reflected across the y-axis and then translated up 4 units and left 2 units. (4 points)
  2. Identify each transformation as a translation, reflection, rotation, dilation or none of these. (5 points; 1 point each part)

a.