Points, Segments, and Zigzags
1) Write a sequence of rigid motions to take figure to figure .
2) Prove the circle centered at is congruent to the circle centered at .
3) Which conjecture is possible to prove?
Match each statement using only the information shown in the pairs of congruent triangles. Write the number of the corresponding pair of congruent triangles in the answer box.
4) The 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle.
5) The 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle.
6) In the 2 triangles there are 3 pairs of congruent sides.
7) Triangle is the image of triangle after a reflection across line . Write a congruence statement for the 2 congruent triangles.
8) Triangle is congruent to triangle . So, Lin knows that there is a sequence of rigid motions that takes to .
Select all true statements after the transformations. Write each corresponding letter in the answer box and separate letters with commas.
a) Angle coincides with angle . b) Angle coincides with angle . c) Angle coincides with angle .
d) Segment coincides with segment . e) Segment coincides with segment .
This design began from the construction of a regular hexagon.
9) Is quadrilateral congruent to the other 2 quadrilaterals?
10) Explain how you know.