Abeka Plane Geometry 11th grade test 8
48
20:x = 10:24
Alternation
A : c = b : d
1:(1+2) = 1 to 3
AB:AC
3 To 2
AC:BC
2rt/s
2r:s = x:t
Inversion
B : a = d : c
4
4:12 = x:x+8
Addition and subtraction
A + b : a - b = c + d : c - d
72
Find the fourth proportional of: 4, 18, 16.
Yes
If AC = 12, BE = 3, AD = 4, and EC = 6, is DE parallel to AB?
3 to 4
If u/v = w/x = y/z = 3/4, then find u+w+y/v+x+z
Antecedent
Name the first term of a ratio.
12
RS = 6, RT = 3, and TS = 4 1/2. Find MR.
4:16 = 5:20
Rewrite 4:5 = 16:20 by the alternation transformation.
Addition
A + b : b = c + d : d
Subtraction
A - b : b = c - d : d
2 to 1
BC:AB
2:(1+2) = 2 to 3
BC:AC
8
Find the mean proportional between 4 and 16.
4
Given: DE || AB, AC = 15, DC = 10, and EC = 8. Find BE.
Proof: 1. Isosceles ABC with AD = AB 2. CAB =. B 3. B =. ADB 4. BDA ~. ABC Reasons: 1. Given 2. Base angles of an isosceles triangle are equal. 3. Angles opposite equal sides of a triangle are equal. 4. a.a.
Given: Isosceles. ABC with AD = AB Prove: BDA ~. ABC
Extremes
Name the first and fourth terms of a proportion.
Means
Name the second and third terms of a proportion.
Consequent
Name the second term of a ratio.
1. The corresponding angles must be equal. 2. The corresponding sides must be proportional.
Name the two conditions for figures in geometry to be called similar based on the definition.
12:5 = 24:10
Rewrite 5:12 = 10:24 by the inversion transformation.
12
WZ = 6, ZX = 8, and WY = 9. Find XY.
Equality of ratios
What is the definition of a proportion?
Third proportional
What is the special name for the fourth term in the proportion a:b = b:c?
Ratio of similitude
What is the special name for the ratio of any pair of corresponding sides of similar polygons?
B
Which of the following is not a true statement? a) 5:10 = 10:20 10 x 10 ? 5 x 20 100 = 100 b) 3:4 = 15:30 4 x 15 ? 3 x 30 60 = 90 c) 2:3 = 24:36 3 x 24 ? 2 x 36 72 = 72
In any proportion, the product of the means equals the product of the extremes.
Write the fundamental property of proportions.
