Geometry A - PC\|MAC
Geometry A
4th Quarter Study Guide
|1. Identify the congruent triangles in the figure: |14. Using the figure on the right, |
| |(WXZ can be proven congruent to (YZX by: |
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|2. Using the figure on the right: |15. Determine whether ∆ WEX ( ∆ TEV: |
|(ABD ( (CDB by _____ | |
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|3. If [pic](box, or P should be ll) and (ABD ( (ECD, which |16. Given: ∆ ABC ( ∆ DEF, find the perimeter of ∆ DEF: |
|proportion is true? | |
|A[pic] = [pic] B.[pic] = [pic] B C | |
|D | |
|C.[pic] =[pic] D. [pic] = [pic] A E | |
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|4. Sidney measured his shadow and the shadow of a pecan tree at |17. Given ∆ CAT is isosceles with base [pic] and a perimeter of 44 mm. If TA = |
|the same time. Sidney is 6 feet tall and his shadow is|(2y – 3) mm and AC = (y + 5) mm, find y. |
|8.5 feet long. The length of the tree shadow is 27 feet. What | |
|is the height of the pecan tree? Round to the nearest tenth. |18. On a softball field the distance between each base, as you run the bases, is 60|
| |ft. What is the distance to throw the ball from home plate to second base? |
|5. Given: ∆ GHI ( ∆ JKI with m ( H = 65º | |
|and m ( HIG = 59º, find the m ( J. |19. Find RS. |
| |[pic] |
| |20. Given isosceles trapezoid ABCD with [pic], [pic], and |
| |AC = 17.2. Find YD |
| |[pic] |
| |18 18. Determine if the conclusion is valid. If not, tell what |
|6. [pic] and [pic]. Find the value of x so that QRST is |additional information is needed to make it valid. |
|isosceles. |Given: [pic] |
|[pic] |Conclusion: ABCD is a square. |
|13. 7. Given isosceles trapezoid ABCD with [pic], [pic], and |[pic] |
|[pic]. Find YD. | |
|[pic] |20. 20. 20. TRSU is a rhombus. Find [pic]. |
|8. A pillow is the shape of a kite. Heath wants to create a | |
|design connecting opposite corners from point B to point D, and |2 21. Three vertices of parallelogram WXYZ are X(–2,–3), Y(0, 5),|
|from point A to point C. Find the amount of cording needing. One |and Z(7, 7). Find the coordinates of vertex W. |
|package of cording contains 5 inches of cord. How many packages |22. MNOP is a parallelogram. Find MP. |
|does Heath need? |[pic] |
|[pic] |23. The diagram shows the parallelogram-shaped component that attaches a car’s |
|9. Show that all four sides of square ABCD are congruent and |rearview mirror to the car. In parallelogram RSTU, UR = 25, RX = 16, and [pic] = |
|that[pic]. |42.4o. Find ST, XT, and m[pic]RST. |
|[pic] |[pic] |
|10. Use the diagonals to determine whether a parallelogram with | |
|vertices [pic]is a rectangle, rhombus, or square. Give all the | |
|names that apply. | |
| |24. Explain why the triangles are similar and write a similarity statement. |
| |[pic] |
|11. Given [pic] with [pic], [pic], and [pic], find the length of |27. 25. A community is building a square park with sides that |
|midsegment [pic]. |measure 80 meters. To separate the picnic area from the play area, the park is split|
|[pic] |by a diagonal line from opposite corners. Determine the approximate length of the |
|12.The size of a TV screen is given by the length of its |diagonal line that splits the square. If necessary, round your answer to the nearest|
|diagonal. The screen aspect ratio is the ratio of its width to |meter. |
|its height. The screen aspect ratio of a standard TV screen is | |
|4:3. What are the width and height of a 27" TV screen? Round your|[pic] |
|answers to the nearest tenth of an inch. |26. In [pic], show that midsegment [pic] is parallel to [pic] and that [pic]. |
|[pic] |[pic] |
|13. B is the midpoint of [pic] D is the midpoint of | |
|[pic] CE and |3 27. Points B, D, and F are midpoints of the sides of [pic] |
|AE = 41. Find BD. The diagram is not to scale. |EC = 39 and DF = 24. Find AC. The diagram is not to scale. |
|[pic] |[pic] |
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