1. fill in the blank for space a. a. converse of corresponding angles b. corresponding angles c. alternate interior angles d. converse of the alternate interior angles 2. fill in the blank for spaces b and c. a. < 1, < 2 b. < 2, < 3 c. < 1, < 3 d. line 1, line m 3. fill in the blank for space d. a. converse of corresponding angles b. corresponding angles c. alternate interior angles d. converse of the alternate interior angles

(1)

B. Corresponding angles

(2)

C. <1, <3

(3)

A. Converse of corresponding angles

Step-by-step explanation:

(1)

we know that

<1 and <2 are corresponding angles

and corresponding angles are equal if two lines are parallel

Since, l and k are parallel

so, if <1 =<2

B. Corresponding angles

(2)

Since, m and k are parallel

so, corresponding angles must be equal

and corresponding angles must be equal

so,

<1 = <3

C. <1, <3

(3)

now, we got

we have got

<2 =<3

and these two are corresponding angles

and they are equal

so, lines l and m are parallel by using converse of corresponding angles

A. Converse of corresponding angles

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

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step-by-step explanation: