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"Understanding Triangles" Triangle PPT (Lesson 1)
Part One: Learning Objectives
1. Develop spatial concepts, reasoning skills and organized expression skills through activities such as observation, operation, imagination, reasoning, and communication.
2. Combining specific examples, understand the relevant concepts, basic elements and symbolic representations of triangles, and classify triangles.
Understanding Triangles PPT, Part 2: Classic Examples
[Example 1] As shown in the figure, there are _____ triangles, namely ____________, among which the three interior angles of △ABD are ____________________;
In △ACD, the opposite side of ∠C is _________, and the opposite angle of CD is _________.?
[Example 2] As shown in the figure, in △ABC, ∠A=60°, ∠B=40°, then ∠C=()
A.100° B.80° C.60° D.40°
[Example 3] In the blank spaces below, fill in "acute angle", "obtuse angle" or "right angle" respectively:
(1) If the measures of the two interior angles of a triangle are 60° and 50° respectively, then the triangle is a ________ triangle;?
(2) If one interior angle of a triangle is equal to the sum of the other two interior angles, then the triangle is a ________ triangle;?
(3) If the sum of the two interior angles of a triangle is 80°, then the triangle is a ________ triangle.
Understanding Triangles PPT, Part 3: Variation Practice
1. As shown in the figure, there are _____ triangles in total; the triangle with AD as the side has __________; ∠C are the opposite angles of the _____, _____, and _____ sides in △AEC, △ADC, and △ABC respectively.?
2. As shown in the picture, the remaining part of a triangular wooden board is measured. ∠A=100°, ∠B=40°. The degree of the other angle ∠C of this triangular wooden board is ()
A.30°
B.40°
C.50°
D.60°
Understanding Triangle PPT, Part 4: Consolidation Training
5. As shown in the figure, there are triangles ()
A.5 B.6
C.7 pieces D.8 pieces
6. In △ABC, ∠A=45°, ∠C=60°, then ∠B=()
A.125° B.100°
C.75° D.50°
7. The ratio of the measures of the three interior angles of a triangle is 2:3:7. This triangle must be ()
A. Right triangle B. Acute triangle
C. Obtuse triangle D. Unable to determine
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