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: |

| | |

| | |

| | |

| | |

|2. Using the figure on the right: |15. Determine whether ∆ WEX ( ∆ TEV: |

|(ABD ( (CDB by _____ | |

| | |

| | |

|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 | |

| | |

|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] |

| | |

-----------------------

B

Q

T

S

R

X

Y

>>

>>

26

22

|

|

||

||

R

S

Q

T

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download