Download 4_1-4_2SkillsCheckPA 2014-15 - Kenwood Academy High School

[PA]4.1/4.2Skills Check
Good Luck to: _______________________Period:_____
Follow the directions carefully. Show all work and circle your answers.
Level 1
1. Identify each triangle by its angles and sides:
a.
b.
Objective:
Students will be
able to identify
and classify
triangles by angles
and sides.
CRS:
PPF 20-23
Exhibit
knowledge of
basic angle
properties and
special sums of
angle measures.
2. Sketch an example of the type of triangle described.
a. acute isosceles
b. obtuse scalene
3. Identify all the isosceles triangles in the figure .
Level 2
Objective:
Students will be
able to classify
triangles on a
coordinate plane.
CRS:
PPF 24-27
Use several angle
properties to
find an unknown
angle measure.
GR 28-32
Use the distance
formula
1. a. Find the measure of each side of ∆𝐴𝐵𝐶 with vertices A(-3, -1), B(-2, 2), C(3, 1)
b. Classify the triangle by its sides.
Level 3
Objective:
1. In ∆𝐴𝐵𝐶 is 𝐢𝐬𝐨𝐬𝐜𝐞𝐥𝐞𝐬, ∠𝐵 is the 𝐯𝐞𝐫𝐭𝐞𝐱 𝐚𝐧𝐠𝐥𝐞,
𝐴𝐵 = 6𝑥 + 4, 𝐵𝐶 = 8𝑥 − 1, and 𝐴𝐶 = 10𝑥 − 10.
Students will be
able to find
missing side
measures
algebraically
using triangle
classifications.
a. Draw a clearly labeled diagram
b. Find x
c. Find the measures of each side of the triangle.
CRS:
PPF 24-27
Use several angle
properties to
find an unknown
angle measure.
2. What is the value of x and the measure of each side if ∆ABC is equilateral?
Level 4
1. Find the measure of each numbered angle.
Objective:
a.
Students will be
able to apply the
Angle Sum
Theorem and
Exterior Angle
Theorem to find
the missing angle
measures of
triangles both
arithmetically and
algebraically.
CRS:
PPF 24-27
Use several angle
properties to
find an unknown
angle measure
b.
m1 = _____
m1 = _____
m2 = _____
m2 = _____
m3 = _____
2. Find the value of x.
m3 = _____
3. Find the value of x.