Download #1 Algebra II * Hustle

#1 Geometry – Hustle
VBHS Invitational 2016
#4 Geometry – Hustle
VBHS Invitational 2016
In a coordinate plane, BC has an endpoint
(2, -7) and a midpoint of (5, -3). What is the
coordinate pair of the other endpoint?
(5+(5-2), -3+(-3+7)) =
Answer : __(8, 1)___________
#2 Geometry – Hustle
VBHS Invitational 2016
Find the length of the side labeled ?.
Give the perimeter of the triangle.
Solve for m. Give the value of the largest angle
in Triangle PEQ.
26m-2=180
m=7
15(7)+17=122 degrees
Answer : 122 degrees
#5 Geometry – Hustle
VBHS Invitational 2016
By using Pythagorean Theorem, you find the
hypotenuse to be 10 inches. 6+8+10 inches = 24
inches.
Answer : __24 inches___________
#3 Geometry – Hustle
VBHS Invitational 2016
Find x.
Because they are both isosceles, and they share a
vertical angle, x is 68 degrees as well.
Answer : 68 degrees
Answer : __SAS___________
#6 Geometry – Hustle
VBHS Invitational 2016
#8 Geometry – Hustle
VBHS Invitational 2016
Classify the given polygon. Figure may not be
drawn to scale. Only use given information to
determine. You must be as specific as possible!
If Lines FG and HI are parallel, and
Angle AEB is 88 degrees, find the measure
of angle BAE.
Because Angles GBE and DCE are Same-Side
Interior Angles, their sum is 180 degrees. That
helps us write the equation: 4x+20=180; x=40.
That makes Angle GBE = 140 degrees. Because
it is a linear pair with ABE, that angle is 40
degrees. AEB is given to be 88 degrees, so the
third interior angle of the triangle will be:
180-88-40=52
Answer : 52 degrees
#7 Geometry – Hustle
VBHS Invitational 2016
Find the perimeter of the figure:
Because there are no sides or angles marked
congruent, we must conclude this is a
Quadrilateral.
Answer : Quadrilateral
#9 Geometry – Hustle
VBHS Invitational 2016
x=180-62=118
x=118, y=62, z=118
Answer : 298
#10 Geometry – Hustle
VBHS Invitational 2016
6 in
x in
24 in
The only missing side can be found by using
Pythagorean Theorem: 𝑥 2 + 62 = 102 ; x=8.
8+13+10+19=50 feet
Answer : ___50__________
20 in
In the triangle above, what is the value of x?
30
20+𝑥
= 𝑥 30𝑥 = 6(20 + 𝑥)
6
120
30𝑥 − 6𝑥 = 120
𝑥 = 24
Answer : ___5__________
#11 Geometry – Hustle
VBHS Invitational 2016
Segment FG has endpoints at F(7, -6) and
G(3, 2). Find the midpoint H on FG.
#15 Geometry – Hustle
VBHS Invitational 2016
Classify the following polygon EHGF:
7 + 3 −6 + 2
,
)
2
2
Answer : ____(5, -2)_________
(
#12 Geometry – Hustle
VBHS Invitational 2016
What is the perimeter of the rectangle formed by
the dashed lines?
The length of the rectangle is 10-3-3=4
The width of the rectangle is 15-3-3=9
4+9+4+9=26 cm
Answer : 26 (units not required)
#13 Geometry – Hustle
VBHS Invitational 2016
Find the slope of a line that passes through the
points (1, 8) and (7, 3).
3−8
7−1
−5
Answer : __ 6 ___________
#14 Geometry – Hustle
VBHS Invitational 2016
Find the slope of a line perpendicular to
Line AB.
The quadrilateral has one pair of opposite sides
parallel and the lengths of the two legs are
congruent.
Answer : Isosceles Trapezoid
#16 Geometry – Hustle
VBHS Invitational 2016
AB and AC are opposite rays. AD bisects
BAE. EAD =36. Find EAC .
E
D
?
36
36
B
A
C
180-36-36=
Answer : ___108__________
Round
1
2
3
4 5
mAB=7/7=1
Mperpendicular = -1
#17 Geometry – Hustle
VBHS Invitational 2016
You are cutting out a triangular piece of paper
for your art project. The rectangular piece of
paper is 10 inches in height by 8 inches wide.
What is the largest possible perimeter of the
triangle?
Right Triangle where the cut is the diagonal of
the rectangle: √164 = 2√41 by Pythagorean
Theorem.
Answer : ___-1__________
Answer : 2√41 + 18
#18 Geometry – Hustle
VBHS Invitational 2016
Write the equation in standard form for a line
x
y  1
3
that is perpendicular to
and passes
through the point (4, 2).
𝑦 − 2 = −3(𝑥 − 4)
Answer : __𝑦 = −3𝑥 + 14___________
#19 Geometry – Hustle
VBHS Invitational 2016
Choose the statement that is always true. For a
parallelogram,
.
A.
B.
C.
D.
The diagonals are congruent
The diagonals bisect each other
All four sides are congruent
All four angles are congruent
Answer : __B___________
#20 Geometry – Hustle
VBHS Invitational 2016
If two polygons are similar, then the
corresponding sides must be
A.
B.
C.
D.
Equal
Congruent
Proportional
Not enough information is given
Answer : ___C__________
Round
.
1
2
3
4 5