BLIZZARD BAG-GEOMETRY 2015
1. The area of a right triangle is 38 square feet. A second right triangle has a base that is 2 times as
long as the first triangle’s base and a height that is 3 times as long as the first triangle’s height.
What is the area of the second triangle?
2. Points E, F, G, and H are midpoints of the sides of quadrilateral ABCD.
If AC = 12 and BD = 8, what is the perimeter of quadrilateral EFGH?
3.
bisects ABC, the measure of ABC = (4x + 5)°, and the measure of ABD = (3x - 1)°.
What is the value of x? (Be sure to draw and lable the diagram!)
4. Q is between P and R. S is between Q and R, and R is between Q and T. PT = 28, QR = 12, and
PQ = SQ = SR. What is the length of
?
5. The ratio of the measures of two complementary angles is 2:3. What is the measure of the larger
angle?
6. Tammy is roofing a house. She must buy enough shingles to cover
the shaded
rectangular areas on both sides of the roof, as shown in the diagram below. What is the
area she must cover?
7. Classify
neither.
and
for M(-3, 1), N(1, 3), P(8, 4), and Q(2, 1) as parallel, perpendicular or
8. Jacob wants to prove that FGH
using SAS. He knows that ∡𝐹 = ∡𝐽 and
What additional piece of information does he need?
.
9. The length of the hypotenuse of an isosceles right triangle is 12 inches. What is the length of one
leg of the triangle, rounded to the nearest tenth of an inch?
10. Write the equation that describes the line in slope-intercept form.
slope = -2, point (3, -1) is on the line
11. The vertices of a kite are located at the points P (3, 4), Q (2, 2), R (4, 2), and S (3, –2). The
image of the kite is reflected over the x-axis, and then the reflected image is translated 3 units
to the right and 2 units up. Provide the coordinates for the vertices of the final image of the kite.
Provide a graph, calculations or reasoning to explain how you determined the coordinates.
12. Triangle DEF has vertices with coordinates D(–2, 1), E(1, 5) and F(2, 3). Draw and label
triangle DEF on the grid provided.
Draw the triangle D'E'F' by translating each vertex of triangle DEF three units to the right
and two units down. Appropriately label triangle D'E'F'.
Draw the triangle D''E''F'' by translating each vertex of triangle D'E'F' two units to the left
and seven units up. Appropriately label triangle D''E''F''.
Describe the movements necessary to perform
a single translation of each vertex from triangle DEF to triangle D''E''F''.
13. Give an example of alternate interior angles.
3 4
2 1
7 8
6
5
14. M is the midpoint of ̅̅̅
𝐽𝐾 . JM = 3x + 4 and MK = x + 20. Find JM, MK, and JK.
15. In the triangle below, what is the range of possible lengths of the third side?
16. What is the measure of 3?
17. What are the 5 methods that can be used to prove that triangles are congruent?
18. Δ𝐴𝐵𝐶 ≅ Δ𝐷𝐸𝐹, ∡𝐴 = 25°, ∡𝐹 = 55°, what is the measure of ∡𝐵?
19. If Johnny walks 4 miles south and then 6 miles east, how far is he from his starting point?
20. Solve for the missing sides.