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1)An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inches, of the circle? Express your answer as a mixed number.

2)A quadrilateral has angles of q,4q+12 degrees , 3q+21 degrees, and 7q-48 degrees. Find the largest angle of the quadrilateral, in degrees.

 

3)The area of a trapezoid is 80 . The length of one base is 4 units greater than the other base, and the height of the trapezoid is 12. Find the length of the median of the trapezoid.

 

(I got 20 which is incorrect, I miss read and i think i found the preimeter instead of the length of the median)

 

4)Let WXYZ be a trapezoid with bases $\overline{XY}$ and $\overline{wz}$. In this trapezoid$\angle ZXW = 81^\circ$, $\angle XWZ = 62^\circ$, and $\angle XYZ = 137^\circ$. Find $\angle YXZ$, in degrees.

(I got 32 which is wrong)

 

5)In trapezoid  EFGH, $\overline{EF} \parallel \overline{GH},$ and P is the point on $\overline{EH}$ such that EP:PH=1:2 . If the area of triangle PEF is 8, and the area of triangle PGH is 21, then find the area of trapezoid EFGH.

(it's not 58 or 72)

 

6)In trapezoid ABCD, $\overline{AB} \parallel \overline{CD}$ . Find the area of the trapezoid.

 

7)In trapezoid PQRS,$\overline{PQ} \parallel \overline{RS}$ . Let X be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle PQX is 27 and the area of triangle RSX is 75 Find the area of trapezoid PQRS.

8)In parallelogram EFGH let M be the point on $\overline{EF}$ such that FM:ME=1:2, and let N be the point on $\overline{EH}$ such that HN:NE=1:3. Line segments $\overline{FH}$ and $\overline{GM}$ intersect at P and line segments $\overline{FH}$ and $\overline{GN}$  intersect at Q. Find PQ/FH.

 

Tysm!!! ^^

 Oct 1, 2024

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