Unit 1, Lesson 15

Symmetry

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Integrated Math 1

Practice

Problem 1

Student Task Statement

For each figure, identify any lines of symmetry the figure has.

<p>A flag. A blue background with a white X.</p>

<p>A triskelion image, three congruent legs radiating from a center point.</p>

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Problem 2

Student Task Statement

In quadrilateral , and . The line is a line of symmetry for this quadrilateral.

Based on the line of symmetry, explain why the diagonals and are perpendicular.
Based on the line of symmetry, explain why angles and have the same measure.

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Problem 3

ForLesson 14: Defining Rotations

Student Task Statement

Three line segments form the letter Z. Rotate the letter Z counterclockwise around the midpoint of segment by 180 degrees. Describe the result.

<p>The letter Z, formed by 3 line segments. 4 points on the endpoints of the segments. Starting at the top left, A. Moving to the right, B. Slanting down and to the left, C. Moving to the right, D.</p>

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Problem 4

ForLesson 14: Defining Rotations

Student Task Statement

There is a square, , inscribed in a circle with center . What is the smallest angle we can rotate around so that the image of is ?

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Problem 5

ForLesson 9: Speedy Delivery

Student Task Statement

Points , , , and are vertices of a square. Point is inside the square. Explain how to tell whether point is closer to , , , or .

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Problem 6

ForLesson 11: Defining Reflections

Student Task Statement

Lines and are perpendicular.

Sometimes reflecting a point over has the same effect as rotating the point 180 degrees using center . Select all labeled points which have the same image for both transformations.

A
B
C
D
E

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Problem 7

ForLesson 13: Incorporating Rotations

Student Task Statement

Here is triangle . Match the description of the rotation with the image of under that rotation.

<p>Triangle P O G on isometric grid. P O and O G are both 2 units long. O G is vertical.</p>

Rotate 60 degrees clockwise around .
Rotate 120 degrees clockwise around .

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Rotate 60 degrees counterclockwise around .

Rotate 60 degrees clockwise around .

Triangle P prime O prime G prime on an isometric grid. Point O prime faces downwards and to the left, P prime faces upwards, G prime faces downwards and to the right.
Triangle P prime O prime G prime on an isometric grid. Point O prime faces upwards and to the right, P prime faces downwards, G prime faces upwards and to the left.

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Symmetry

Practice

Problem 1

Student Task Statement

Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

Student Task Statement

Lesson 15 Resources