Name: _______________________________ Date: _______________________ Score: _________
Lesson 7.1-4 – Foundations of Geometry
Problem Solving Quiz
Answer all questions to the best of your ability. You receive 1 point for a correct solution and 1 point for showing work on
the attached scratch paper.
1.)
A paleontologist found the tracks of an animal that
is now extinct. Which of the following lengths could
be the measures of the three sides of the triangle
formed by the tracks?
A.)
B.)
C.)
D.)
2.)
The side lengths formed by the animal
tracks could be 9 ft., 13 ft., 26 ft.
The side lengths formed by the animal
tracks could be 7 ft., 11 ft., 20 ft.
The side lengths formed by the animal
tracks could be 5 ft., 8 ft., 13 ft.
The side lengths formed by the animal
tracks could be 2 ft., 9 ft., 10 ft.
4.)
The Puerto Rican flag is shown below. Find the
measure of the missing angle, x.
A.)
B.)
C.)
D.)
5.)
What are the measures of the missing angle
measures of the quadrilateral?
Kyle cut a piece of watermelon in the shape of an
isosceles triangle as shown below. Find the
measures of the missing angles, x.
A.)
B.)
C.)
A.)
B.)
C.)
D.)
3.)
The measure of the missing angle is 35˚.
The measure of the missing angle is 45˚.
The measure of the missing angle is 55˚.
The measure of the missing angle is 65˚.
The measures of the angles are 45˚.
The measures of the angles are 67.5˚.
The measures of the angles are 135˚.
The measures of the angles are 157.5˚.
The ramps at a local skate park vary in steepness
like in the diagram show below. Find the measure
of the missing angle, x.
A.)
B.)
C.)
D.)
The measure of the missing angle is 35˚.
The measure of the missing angle is 65˚.
The measure of the missing angle is 90˚.
The measure of the missing angle is 125˚.
D.)
6.)
The measures of the missing angles are 15˚
and 16˚.
The measures of the missing angles are 99˚
and 112˚.
The measures of the missing angles are 76˚
and 135˚.
The measures of the missing angles are 96˚
and 175˚.
A painting company used a regular pentagon for
their sign. What is the measure, in degrees, of
angle M in the design?
A.)
B.)
C.)
D.)
The measurement of angle M is 90˚.
The measurement of angle M is 100˚.
The measurement of angle M is 108˚.
The measurement of angle M is 120˚.
7.)
The sum of the measures of the interior angles of
a polygon is 2160°. Find the number of sides of
the polygon.
A.)
B.)
C.)
D.)
8.)
The polygon has 10 sides.
The polygon has 14 sides.
The polygon has 16 sides.
The polygon has 18 sides.
An architect is trying to draw an isosceles right
triangle on a grid to use in his next blueprint. He
has a point at (6, 3) and a point at (−2, 3). What
could be the third point?
A.)
B.)
C.)
D.)
9.)
Quadrilateral ABCD has vertices at A(-3, 5), B(-2,
2), C(-3, -2), and D(-5, 1). What are the
coordinates of C’ after a reflection over the y-axis?
A.)
B.)
C.)
D.)
The coordinates of C’ are (–3, 2).
The coordinates of C’ are (3, –2).
The coordinates of C’ are (3, 2).
The coordinates of C’ are (–3, –2).
10.) The translation  x, y   ( x  2, y  3) was used to
move JKL to J ' K ' L ' . J ' K ' L ' is shown on the
grid. What are the coordinates of point K?
The third point could be (–2, 0).
The third point could be (6, −5).
The third point could be (2, –2).
The third point could be (3, 6).
A.)
B.)
C.)
D.)
The coordinates of point K are (–4, 6).
The coordinates of point K are (0, 0).
The coordinates of point K are (1, 1).
The coordinates of point K are (–5, 1).