Geometry
Unit 3 - Triangles Benchmark Assessment - REVIEW
Name _____________________________________
Learning Target 3.1: I can solve problems and justify my results using properties of similar triangles.
Learning Target 3.1c: Applying Similarity Conjectures
1.
CEA ~
EAD
. Find w and z. 2. The triangles below are similar. Find x.
Geometry
Unit 3 - Triangles Benchmark Assessment - REVIEW
Learning Target 3.1a: Similar Triangle Shortcuts
3. Complete the triangle similarity statements, tell which conjecture shows the similarity, and state the corresponding parts of similar triangles.
Learning Target 3.2: I can solve problems and justify my results using the trigonometric ratios sine, cosine, and tangent in right triangles.
Learning Target 3.2a: Applying Trigonometric Ratios
4. Find the measure of angle B to the nearest tenth of a degree. 5. Find cosC
.
6. Find tanB to the nearest hundredth.
Geometry
Unit 3 - Triangles Benchmark Assessment - REVIEW
Learning Target 3.2b: Justifying Trigonometry
7a)
b) Justify the use of trigonometry and justify the trigonometric ratio used in this problem.
Learning Target 3.3: I can select and apply the correct triangle relationship (congruency,
Pythagorean Theorem, special right triangles, similarity, trigonometric ratios) to find missing sides and angles of triangles.
Learning Target 3.3a: Real life application
8. a) Find
, the pitch of the roof.
b) Find the height of the roof, h.
Geometry
Unit 3 - Triangles Benchmark Assessment - REVIEW
Learning Target 3.3c: Selecting Correct Triangle Relationships
9. Identify the relationship given in the problem and determine the method(s) necessary to solve the problem. Then solve the problem.
Triangle Relationship_____________________ Solving Method(s)_______________________
Find the measure of angle A.
Learning Target 3.3b: Applying Triangle Relationships
10. Area of ∆ ABC = _______________