Geometry Test Review PDF

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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 – Congruence, Construction and Proof 1. Construct a rhombus using segment 𝐴𝐵 as one side and angle 𝐴 as one of the angles. 2. Constru...

Name: _____________________________________________ Date: ________________ Hour: _______ GEOMETRY Test Review Unit 2 – Congruence, Construction and Proof 1. Construct a rhombus using segment 𝐴𝐵 as one side and angle 𝐴 as one of the angles. 2. Construct a line parallel to line 𝑃𝑅 and through the point 𝑁. 3. Construct an equilateral triangle with segment 𝑅𝑆 as one side. 4. Construct a regular hexagon inscribed in the circle provided. 5. Construct a parallelogram using 𝐶𝐷 as one side and 𝐶𝐸 as the other side. 6. Bisect the line segment 𝐿𝑀. 7. Bisect the angle 𝑅𝑆𝑇. 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 𝐴𝐵𝐶𝐷 onto D 𝑄𝑅𝑆𝑇. Clearly describe the sequence of transformations. B C S T R Q 10. It has been determined that rotating △ 𝐴𝑂𝐷 180∘ about point 𝑂 causes its image to coincide with Δ𝐵𝑂𝐶. Based on this 180-degree rotation, list all angles and segments that are congruent between the two triangles. 11. True Statements: #### 𝐴𝐷 bisects ∠𝐵𝐴𝐶 ∠𝐴𝐵𝐷 ≅ ∠𝐴𝐶𝐷 Conjecture: ∆ABD ≅ ∆ACD Is the conjecture correct? _______ Argument to prove the conjecture: 12. True Statements: #### and 𝐵𝐷 𝐸 is the midpoint of 𝐴𝐶 #### ∠𝐴𝐸𝐷 ≅ ∠𝐵𝐸𝐶 #### ≅ #### Conjecture: 𝐴𝐷 𝐵𝐶 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.

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