Triangle qrs is shown on the coordinate grid. triangle qrs is dilated with the origin as the center of dilation using the rule (x, y) → (4x, 4y) to create triangle q'r's'. which statement is true a)triangle q'r's' is smaller than triangle qrs, because the scale factor is less than 1. b) triangle q'r's' is larger than triangle qrs, because the scale factor is less than 1. c) triangle q'r's' is larger than triangle qrs, because the scale factor is greater than 1. d) triangle q'r's' is smaller than triangle qrs, because the scale factor is greater than 1.

C) Triangle Q'R'S' is larger than triangle QRS, because the scale factor is greater than 1.

Step-by-step explanation:

We are given that,

Triangle QRS is dilated with origin as the center of dilation.

Since, the rule used is (x, y) → (4x, 4y).

We see that,

The triangle is enlarged by the scale factor 4 because the co-ordinates are multiplied by 4.

Thus, we get that,

Triangle Q'R'S' is larger than the triangle QRS because the scale factor is greater than 1.

Hence, option C is correct.

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.