Geometry Hs Mathematics Unit 08 Lesson 01 Answer Key
Problem 1
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 \(D'\).
Problem 2
Selectalltransformations that must take any point\(A\) to any point\(B\).
A:
Rotation of\(180^\circ\)around\(A\)
B:
Rotation of\(180^\circ\)around\(B\)
C:
Rotation of\(180^\circ\)around the midpoint of segment\(AB\)
D:
Reflection across the line\(AB\)
E:
Reflection across the perependicular bisector of segment\(AB\)
F:
Translation by the directed line segment\(AB\)
G:
Translation by the directed line segment\(BA\)
Problem 3
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 \(C'\).
Problem 4
A triangle has rotation symmetry that can take any of its vertices to any of its other vertices. Selectall conclusions that we can reach from this.
A:
All sides of the triangle have the same length.
B:
All angles of the triangle have the same measure.
C:
All rotations take one half of the triangle to the other half of the triangle.
D:
It is a right triangle.
E:
None of the sides of the triangle have the same length.
F:
None of the angles of the triangle have the same measure.
Problem 5
Selectallthe angles of rotation that produce symmetry for this flower.
Problem 6
A right triangle has a line of symmetry. Select all conclusions that must be true.
A:
All sides of the triangle have the same length.
B:
All angles of the triangle have the same measure.
C:
Two sides of the triangle have the same length.
D:
Two angles of the triangle have the same measure.
E:
No sides of the triangle have the same length.
F:
No angles of the triangle have the same measure.
Problem 7
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.
Problem 8
Which of these constructions would construct a line of reflection that takes the point \(A\) to point \(B\)?
A:
Construct the midpoint of segment \(AB\).
B:
Construct the perpendicular bisector of segment \(AB\).
C:
Construct a line tangent to circle \(A\) with radius \(AB\).
D:
Construct a vertical line passing through point \(A\) and a horizontal line passing through point \(B\).
Problem 9
Here is triangle \(POG\). Match the description of the rotation with the image of \(POG\) under that rotation.
A:
Rotate 300 degrees clockwise around \(O\).
B:
Rotate 60 degrees clockwise around \(O\).
C:
Rotate 60 degrees clockwise around \(P\).
D:
Rotate 240 degrees counterclockwise around \(O\).
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Geometry Hs Mathematics Unit 08 Lesson 01 Answer Key
Source: https://curriculum.illustrativemathematics.org/HS/teachers/2/1/17/practice.html
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