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Geometry – Chapter 8 Test Review
Standards/Goals:
C.1.f.: I can prove that two right triangles are congruent by applying the LA, LL, HL, and HA
congruence statements.
o I can prove right triangles are similar to one another.
o I can solve problems dealing with right triangles that are congruent to one another.
D.2.d.: I can solve problems involving the relationships formed when the altitude to the
hypotenuse of a right triangle is drawn.
G.SRT.4./ D.2.e.: I can apply the Pythagorean theorem and its converse to triangles to solve
mathematical and real-world problems.
D.2.f.: I can identify and use Pythagorean triples in right triangles to find lengths of the
unknown side.
E.1.g.: I can determine the geometric mean between two numbers and use it to solve
problems.
H.1.a.: I can apply the properties of a 45-45-90 degree and 30-60-90 degree triangle to
determine lengths of sides of triangles.
G.SRT.8: I can use properties of right triangles to solve problems, including ones that involve
real-life applications.
G.SRT.6.: I can name the sides of a right triangle as they relate to one of the acute angles.
o I can compare ratios for similar right triangles and understand the connection
between the ratio and the acute angle leading to trigonometric ratios.
Algebra Standards:
G.1.b.: I can simplify radicals that have various indices.
G.1.f.: I can evaluate expressions and solve equations containing ‘nth’ roots or rational
exponents.
IMPORTANT VOCABULARY
Radical
Expression
Radical
Radicand
Perfect
squares
Pythagorean
Theorem
Converse of
Pythagorean
Theorem
Pythagorean Triple
Right
triangles
Hypotenuse
Geometric
mean
Similarity
statements
Altitude
30-60-90
degree
triangles
45-45-90 degree
triangles
LL
HL
HA
LA
#1. Find a geometric mean between 7 and 9.
#2. Do 19, 15, and 13, form a Pythagorean Triple? Why or why not? Explain.
Classify each triangle with the given side lengths as ACUTE, RIGHT, or OBTUSE.
#3. 3, 8, 10 #4. 12, 15, 19 #5. √ , √ , √
