Download Honors Geometry - AREA Practice Name

Honors Geometry - AREA Practice
Name: ____________________________________
1. ABCD is a parallelogram. Find the ratio of area of triangle DEF to the area of DEBA.
F
6
C
D
E
6
A
15
B
2. Find the area of a regular octagon whose perimeter is 128 and radius of the circumcircle is 17.
3. A rhombus has perimeter of 64 and one diagonal of 12. Find the
a. Other diagonal
b. Area
c. altitude
4. Find the area of the trapezoid given that area of triangle PQS = 25 and the midsegment of the trapezoid is 14.
P
S
Q
18
R
5. Find the area of a triangle that has a midsegment of 16 and a segment from the opposite vertex perpendicular to the
midsegment is 4 3 .
6.
Find the ratio of Area I to Area II
(note – you have not been told that there is (or isnt’) a right angle in this diagram!)
6
I
II
8
7. ABCD is a parallelogram. AD = 15, AB = 21, the altitude DE intersects AB at such a point that A – E – B and AE = 9.
Find the area.
8. The measure of each base angle of an isosceles triangle is 30 and the height is 7. Find the perimeter and area.
6
9. Find the area of the given figure
(Note – you have not been told this is (or is not) a trapezoid!)
10
6
8
Answer Sometimes, Always, or Never and Justify
10. The altitude of a rhombus is --- the diagonal
11. If the ratio of the sides of two different squares is 2:3, then the areas will ---- be 10 and 15
12. The angle bisector of a scalene triangle --- creates two equivalent triangles.
13. If the ratio of the sides of two rhombi is ¾, then the ratio of the areas will ---- be 9/16.
14. If two polygons with the same number of sides are equivalent, then they are congruent.