Download Geometry Sample Assessment Goal 2.2.2

Geometry Sample Assessment Goal 2.2.2 - Understand and apply definitions,
theorems, corollaries, and postulates to determine measurement.
Task A: Apply the segment addition postulate to find the measures of segments.
1. Given
with Y between X and Z. XY =
x, XY, and YZ.
and YZ =
and XZ = 92. Solve for
Task B: Apply the angle addition postulate to find the measures of angles.
1. Given
with point B in the interior of the angle,
and
. Solve for x and the measure of all angles.
,
Task C: Find the measures of angles (adjacent, complementary, supplementary, vertical angles,
linear pairs, and special angles formed by parallel lines cut by a transversal).
1.
find its complement and supplement.
2. Given
and
are a linear pair,
find the measure of .
3.
Solve for x and all missing angles.
Task D: Use and apply the triangle inequality theorem to find missing measures.
1. Given a triangle with two sides 8 cm and 7 cm, what are the possible lengths for the third
side?
Task E: Calculate the sums of the interior and exterior angles of a polygon.
1. Find the sum of the interior angles of a heptagon.
2. Find the sum of the exterior angles of a dodecagon.
Task F: Calculate the measure of each interior and exterior angle of a regular polygon.
1. Find the measure of an interior and exterior angle of a regular pentagon.
2. The measure of an interior angle of a regular polygon is 135 , how many sides does the
polygon have?
Task G: Use and apply the Pythagorean Theorem.
1.
A 25 foot ladder is leaning against a building. The bottom of the ladder is 3 feet from base
of the building, how high on the building does the ladder reach?
2. If a cone has a radius of 5 inches, and height 10 inches, what is the lateral area of the cone?
Task H: Find the measures of inscribed and central angles and their corresponding intercept arcs.
1.
Given a central angle of 45 , what is the measure of the intercepted arc?
2. Given an intercepted arc with measure 278 , what is the measure of the inscribed angle?
Task I: Find the lengths and measures of arcs of a circle.
1.
Given an inscribed angle measuring 45 in a circle with a radius of 12 cm. What is the length
of the intercepted arc?
Task J: Find the lengths of segments and measures of angles formed by radii, chords, secants,
and tangents of circles.
B
C
D
Given:
AF = 12
EF = 8
FD = 5
Find:
As you show your work, justify each step.
FB
F
A
E