Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 17

Quadrilateral ABCD is congruent to quadrilateral A'B'C'D'. Describe a sequence of rigid motions that takes A to A', B to B', C to C', and D to D'.

Tags

G.CO.5

8.G.2

Select all transformations that must take any point A to any point B.

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• {"blocks":[{"key":"0","text":"Rotation of 180° around B","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":12,"length":4,"style":"BOLD"},{"offset":24,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Rotation of 180° around the midpoint of segment AB","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":12,"length":4,"style":"BOLD"},{"offset":48,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Reflection across the line AB","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":27,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Reflection across the perependicular bisector of segment AB","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":57,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.5

8.G.2

Triangle ABC is congruent to triangle A'B'C'. Describe a sequence of rigid motions that takes A to A', B to B', and C to C'.

Tags

G.CO.5

8.G.2

A triangle has rotation symmetry that can take any of its vertices to any of its other vertices. Select all conclusions that we can reach from this.

• All sides of the triangle have the same length.
• All angles of the triangle have the same measure.
• All rotations take one half of the triangle to the other half of the triangle.
• It is a right triangle.
• None of the sides of the triangle have the same length.

Tags

G.CO.5

8.G.2

Select all the angles of rotation that produce symmetry for this flower.

• 30
• 45
• 60
• 90
• 120

Tags

G.CO.5

8.G.2

A right triangle has a line of symmetry. Select all conclusions that must be true.

• All sides of the triangle have the same length.
• All angles of the triangle have the same measure.
• Two sides of the triangle have the same length.
• Two angles of the triangle have the same measure.
• No sides of the triangle have the same length.

Tags

G.CO.5

8.G.2

In quadrilateral BADC, AB = AD and BC = DC. The line AC is a line of symmetry for this quadrilateral. Based on the line of symmetry, explain why angles ACB and ACD have the same measure.

Tags

G.CO.5

8.G.2

Which of these constructions would construct a line of reflection that takes the point A to point B?

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• {"blocks":[{"key":"0","text":"Construct the perpendicular bisector of segment AB.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":48,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"0","text":"Construct a line tangent to circle B with radius AB.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":35,"length":1,"style":"BOLD"},{"offset":49,"length":2,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}
• {"blocks":[{"key":"1q0g2","text":"Construct a vertical line passing through point A and a horizontal line passing through point B.","type":"unstyled","depth":0,"inlineStyleRanges":[{"offset":48,"length":1,"style":"BOLD"},{"offset":94,"length":1,"style":"BOLD"}],"entityRanges":[],"data":{}}],"entityMap":{}}

Tags

G.CO.5

8.G.2