Download Connections Geometry Semester One Review Guide page 3

Connections Geometry Semester One Review Guide
Name __________________________
Identify the shape:
Three types of transformations:
__________________________ 4-sided shape with all equal sides
1.
2.
3.
__________________________ 4-sided shape with two sets of parallel sides
__________________________ 8-sided with all equal sides & all equal angles
__________________________ 4-sided shape with all equal angles
__________________________ angle between 90 and 180 degrees
Three ways to show that triangles are similar:
1.
2.
3.
__________________________ angle that is exactly 90 degrees
__________________________ 5-sided shape
Formulas:
__________________________ 4-sided shape with one set of parallel sides
Area of a triangle _______________
__________________________ 3-sided shape with two equal sides
Area of a rectangle _____________
__________________________ 3-sided shape with no equal sides
__________________________ 3-sided shape with three equal angles
Area of a parallelogram _____________
__________________________ 4-sided shape that is regular
Area of a trapezoid _____________
General formula for perimeter ____________________________________________
Make a Venn diagram using the following shapes and rules:
General formula for a line _____________
Rule 1: Shapes with all equal sides
Rule 2: Quadrilaterals
List of shapes: square, circle, rhombus, equilateral triangle, isosceles triangle, rectangle,
hexagon, parallelogram
tan  _______________
sin  _______________
cos  _______________
Law of Sines ___________________
30-60-90 triangles ________________
45-45-90 triangles ________________
Connections Geometry Semester One Review Guide page 2
Convert each to a conditional statement:
Draw diagrams for each, then state the rule about them:
Parallel lines cause congruent alternate interior angles.
Supplementary
Complementary
If __________________________________, then _______________________________.
Equilateral triangles have 3 equal sides.
If a triangle __________________________, then _______________________________.
The ways to show triangles are congruent:
Perpendicular lines
Parallel lines
Solve the system of equations algebraically:
y = 4x – 2
Alternate interior angles
2x + 3y = 6
Same-side interior angles
Graph the lines above, then determine the point of intersection.
Corresponding angles
Vertical angles
The sides of a triangle are 4, 7, and x. Give the maximum and
minimum values for x.
Fill in the blanks.
Lines with the same _________ will be parallel.
Lines with slopes that are _________________________________ will be perpendicular.
Connections Geometry Semester One Review Guide page 3
Solve for x. Check your work!
x
Rectangle with a perimeter of 56 inches
40
130
20
A
12
10
7
U
x
8
38°
x
8
60
3
P
10
x
L
2.5
S
Connections Geometry Semester One Review Guide page 4
Transformations.
Name the shape:
Reflect triangle PIT across the x-axis.
Triangle with no symmetry ___________________________________________
Rotate triangle PIT 180° around the origin.
Triangle with one line of symmetry ____________________________________
Triangle with 120 degree rotational symmetry ____________________________
5
Translate triangle PIT so point P moves to (-1, -1).
x
P
-3
Quadrilateral with one line of symmetry ________________________________
T
Quadrilateral with four lines of symmetry _______________________________
Solve for b and c.
Solve for ∡A and ∡B
Prove that the triangles are similar:
S
B
I
27°
54°
N
27°
99°
J
O
Solve for all missing sides and angles.
A
12
P
10
U
Graph y = 1/3x - 4
3
10
7
L
2.5
S
y
-5
6
I