3D Objects, 2D Cross-Sections
Scale Factors
Angle Relationships
Unique Triangles
Similar Triangles
100
The cross-section of a 3d object will show the shape that is ________ to the slice.
Parallel!
100
What is the ratio for scale factor?
drawing:actual OR scaled:original
100
Complementary angles add up to be _______ while supplementary angles add up to be _______.
Complementary = 90 degrees, Supplementary = 180 degrees
100
There are 4 given conditions that tell you if a triangle is unique. 100 points for each one you give me!
side-side-side
angle-side-angle
side-angle-side
angle-angle-side
100
What do two triangles have to share in order to be considered similar?
Corresponding angles!
200
What is the name of this 3d object AND what is the vertical cross-section of this 3d object?
Hexagonal Pyramid with a triangle cross-section!
200
If the blue rectangle is the original, what is the scale factor?
drawing:actual
3:6 or 1:2 or 1/2
200
Which one of these angle relationships are NOT congruent?
A) corresponding angles
B) alternate interior angles
C) alternate exterior angles
D) same side interior angles
E) vertical angles
D) same side interior angles
They are supplementary!
200
Which of these triangles are unique?
A, B, and D!
200
Are these triangles similar?
Nope! The unknown angles don't match!
Triangle ABC missing angle = 41
Triangle DEF corresponding angle = 42
300
What are the dimensions of the cross-section sliced vertically below?
10 feet by 15 feet
300
1.25 in = 6.25 ft
2.75 in = 13.75
6.25 x 13.75 = 85.9375 = 86 ft
B.
300
Tell me the value of x and the value of both angles below!
2x + 29 = 5x + 20
-2x -20 -2x -20
9 = 3x, x = 3
2(3) + 29 = 35
300
Which set of conditions would give you a unique triangle?
A) Sides of 10, 12, and 22 inches
B) Sides of 5 and 7 inches with an included angle of 45 degrees
C) Angle of 90 and sides of 19 and 20 inches
D) Angles of 100, 20, and 60 degrees.
B)
300
Are these triangles similar?
Yes! Because both triangles have the same conditions (side-angle-side) and the same included angle, with proportional sides, they are similar!
400
What cross-section can NOT be made from the 3d object below?
d) trapezoid