Geometry Test Review PDF
Document Details
Uploaded by Deleted User
OCR
Tags
Summary
This is a geometry test review covering constructions, congruence criteria, and proof techniques. The document contains numerous geometrical constructions, and questions regarding congruence properties, sequences of transformations, and triangle congruency.
Full Transcript
Name: _____________________________________________ Date: ________________ Hour: _______ GEOMETRY Test Review Unit 2 β Congruence, Construction and Proof 1. Construct a rhombus using segment π΄π΅ as one side and angle π΄ as one of the angles. 2. Constru...
Name: _____________________________________________ Date: ________________ Hour: _______ GEOMETRY Test Review Unit 2 β Congruence, Construction and Proof 1. Construct a rhombus using segment π΄π΅ as one side and angle π΄ as one of the angles. 2. Construct a line parallel to line ππ and through the point π. 3. Construct an equilateral triangle with segment π π as one side. 4. Construct a regular hexagon inscribed in the circle provided. 5. Construct a parallelogram using πΆπ· as one side and πΆπΈ as the other side. 6. Bisect the line segment πΏπ. 7. Bisect the angle π ππ. 8. Use the diagram to the right. a. Explain how a sequence of rigid motions can be used to justify that the triangles are congruent. b. State the triangle congruence criteria that fit with each pair of triangles. A 9. Find a sequence of transformations that will carry π΄π΅πΆπ· onto D ππ ππ. Clearly describe the sequence of transformations. B C S T R Q 10. It has been determined that rotating β³ π΄ππ· 180β about point π causes its image to coincide with Ξπ΅ππΆ. Based on this 180-degree rotation, list all angles and segments that are congruent between the two triangles. 11. True Statements: #### π΄π· bisects β π΅π΄πΆ β π΄π΅π· β β π΄πΆπ· Conjecture: βABD β βACD Is the conjecture correct? _______ Argument to prove the conjecture: 12. True Statements: #### and π΅π· πΈ is the midpoint of π΄πΆ #### β π΄πΈπ· β β π΅πΈπΆ #### β #### Conjecture: π΄π· π΅πΆ Is the conjecture correct? _______ Argument to prove the conjecture: 13. Use the congruence markings to determine whether the triangles are congruent, similar, or neither. On the line provided, state the triangle congruence criterion connected to the pair of triangles that are congruent or similar. a. b. c. d. e. f. g. h. i.