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1-9: Learning Goals

Download for free at openupresources.org. 1-9: Learning Goals. Let’s transform some lines. Download for free at openupresources.org. 1-9-1: Building a Quadrilateral.

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1-9: Learning Goals

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  1. Download for free at openupresources.org. 1-9: Learning Goals • Let’s transform some lines.

  2. Download for free at openupresources.org. 1-9-1: Building a Quadrilateral For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, the images of A and B.

  3. Download for free at openupresources.org. 1-8-1: Building a Quadrilateral • Rotate triangle ABC 90 degrees clockwise around B. • Rotate triangle ABC 180 degrees clockwise round B. • Rotate triangle ABC 270 degrees clockwise around B. • What would it look like when you rotate the four triangles 90 degrees clockwise around B? 180 degrees? 270 degrees clockwise?

  4. Download for free at openupresources.org. 1-8-2: Rotating a Segment • Rotate segment CD 180 degrees around point D. Draw its image and label the image of C as A. • Rotate segment CD 180 degrees around point E. Draw its image and label the image of C as B and the image of D as F. • Rotate segment CD 180 degrees around its midpoint, G. What is the image of C? • What happens when you rotate a segment 180 degrees around a point?

  5. Download for free at openupresources.org. 1-8-2: Rotating a Segment • Rotate segment CD 180 degrees around point D. Draw its image and label the image of C as A. • Rotate segment CD 180 degrees around point E. Draw its image and label the image of C as B and the image of D as F. • Rotate segment CD 180 degrees around its midpoint, G. What is the image of C? • What happens when you rotate a segment 180 degrees around a point?

  6. Download for free at openupresources.org. 1-8-3: A Pattern of Four Triangles • Describe a rigid transformation that takes triangle ABC to triangle CDE. • Describe a rigid transformation that takes triangle ABC to triangle EFG. • Describe a rigid transformation that takes triangle ABC to triangle GHA. • Do segments AC, CE, EG, and GA all have the same length? Explain your reasoning.

  7. Download for free at openupresources.org. 1-8: Lesson Synthesis

  8. Download for free at openupresources.org. 1-9: Lesson Synthesis

  9. Download for free at openupresources.org. 1-9: vertical angles A pair of vertical angles is a pair of angles that are across from each other at the point where two lines intersect. There are two pairs of vertical angles. 1 2 4 3

  10. Download for free at openupresources.org. 1-9: Learning Targets • I can describe the effects of a rigid transformation on a pair of parallel lines. • If I have a pair of vertical angles and know the angle measure of one of them, I can find the angle measure of the other.

  11. Download for free at openupresources.org. 1-9-4: Finding Missing Measurements Points A′, B′, and C′ are the images of 180-degree rotations of A, B, and C, respectively, around point O. Answer each question and explain your reasoning without measuring segments or angles. • Name a segment whose length is the same as segment AO. • What is the measure of angle A′OB′?

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