Geometry/Trig Name: ______________________________ Date: _______________________________ Final Exam Review [Unit 2: Angles and Triangles] Types of Angles: Types of Triangles: By SIDES By ANGLES Equilateral 3 sides congruent Acute All angles less than 90° Isosceles 2 sides congruent Obtuse One angle more than 90° Scalene No sides congruent Right One right angle (has a 90° angle) Concept Diagram Definition Vertical angles Two angles across from each other when 2 lines intersect. These angles are congruent. Supplementary Angles Two angles next to each other that add to 180° (form a straight line). Complementary Angles Two angles that add to add to 90°. Angles at a Point Angles where all vertices share the same vertex. They add to 360°.
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Geometry/Trig Name: Date: Final Exam Review [Unit 2 ... · Types of Angles: Types of Triangles: By SIDES By ANGLES Equilateral 3 sides congruent Acute All angles less than 90° Isosceles
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Geometry/Trig
Name: ______________________________
Date: _______________________________
Final Exam Review
[Unit 2: Angles and Triangles]
Types of Angles:
Types of Triangles:
By SIDES By ANGLES
Equilateral 3 sides congruent
Acute All angles less than 90°
Isosceles 2 sides congruent
Obtuse One angle more than 90°
Scalene No sides congruent
Right One right angle
(has a 90° angle)
Concept Diagram Definition
Vertical angles
Two angles across from each other when 2 lines intersect.
These angles are congruent.
Supplementary Angles
Two angles next to each other that add to 180°
(form a straight line).
Complementary Angles
Two angles that add to add to 90°.
Angles at a Point
Angles where all vertices share the same vertex.
They add to 360°.
Geometry/Trig
Fun Facts about Triangles:
All angles in a ∆ add to 180⁰
Triangle Inequality: To determine if 3 sides form a triangle… Small + Medium > Large (S + M > L)
Right Triangles must satisfy the Pythagorean Theorem: a2 + b2 = c2 (side lengths! c = hypotenuse)
Some Together: On Your Own:
1. Determine if the side
lengths given can form
a triangle. 7, 5, 4
5. Determine if the side lengths
given can form a triangle.
5, 2, 3
2. Find the missing side of the triangle:
6. Solve for the missing side of the triangle:
Steps:
1) Identify the measure of each side length and classify
them as a, b, or c.
2) Use the Pythagorean Theorem and properties of
Algebra to find the missing side.
3) Put your answer in simplest radical form, if applicable.
Geometry/Trig
3. In the diagram below, solve for the missing angle b:
Type of Angles: ___________________
b = ______________∘
7. In the diagram below, solve for the missing angle b:
Type of Angles: ___________________
b = ______________∘
4. a. What type of triangle is this? How do you know?
b. Solve for the value of y.
8. In ∆ABC, m∠A = 42° and m∠C = 63°. What is the
measure of ∠B?
9. Solve for the value of x.
Geometry/Trig
1. What is the measure of ∠𝐶?
2.
Type of Angles:
____________________________________
b = ______________∘
3.
Type of Angles:
____________________________________
b =
______________∘
Classifying Triangles:
4. Classify the following triangles according to their sides.
This triangle is a __________________
triangle, because it has
_________ congruent sides.
This triangle is a __________________
triangle, because it has
_________ congruent sides.
This triangle is a __________________
triangle, because it has
_________ congruent sides.
This triangle is a __________________
triangle, because it has
_________ congruent sides.
PRACTICE
Geometry/Trig
5. In triangle ABC, m<A = 35°, and m<C = 110°. A) Solve for the missing angle. B) What type of triangle is ∆ABC