Unit 3 lesson 8 cumulative practice problems
1. this is an invalid proof that all isosceles triangles are similar. explain which step is
invalid and why.
1. draw 2 isosceles triangles abc and def where ac = bc and df = ef.
2. dilate triangle abc to a new triangle a'b'c using center c and scale factor de so
that a'c = b'c = df = ef.
3. translate by directed line segment cf to take a'b'c to a new triangle a"b" f.
since translation preserves distance, a" f = a'c= df and b" f = bc = ef.
4. since a" f = df, we can rotate using center f to take a" to d.
5. since b" f = ef, we can rotate using center f to take b" to e.
6. we have now established a sequence of dilations, translations, and rotations that
takes a to d, b to e, and c to f, so the triangles are similar.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

49%

step-by-step explanation:

when you realize that you dont know just realize i just took a test and im so smart

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: