Maria claims that ΔABE ≅ ΔACD . Select two of the transformations or series of transformations that support Maria's claim and maps ΔABE to ΔACD.

A dilation with a scale factor of 3 about point A.

A dilation with a scale factor of 2 about point B.

A dilation with a scale factor of 2 about point A followed by a translation of 4 units downward.

A dilation with a scale factor of 3 about point B followed by a translation of 4 units downward.

A dilation with a scale factor of 3 about point A followed by a translation of 8 units to the right.

A dilation with a scale factor of 2 about point B followed by a translation of 8 units to the right.

Two transformations or series of transformation that support Maria's claim and Maps ΔABE to ΔACD are;

A dilation with a scale factor of 3 about point A

A dilation with a scale factor of 3 about point B followed by a translation of 4 units downwards

Step-by-step explanation:

Using an online source, we have;

ΔABE ~ ΔACD

The coordinate of triangle ΔABC are;

A(-6, 4), B(-6, 2), and E(-2, 2)

The coordinate of triangle ΔACD are;

A(-6, 4), C(-6, -2), and D(6, -2)

∠A ≅ ∠A by reflexive property

Segment BE ║Segment CD and segment DE and segment AE are collinear on transversal AD

∴ ∠E ≅ ∠D Corresponding angles

∴ ΔABE ~ ΔACD by Angle-Angle rule of congruency

Segment AB on ΔABE and segment AC on triangle ΔACD are corresponding sides on both triangles

The length of segment AB on ΔABE = 2 units

The length of segment AC on ΔACD = 6 units

The scale factor of dilation, SF = (The length of segment AC)/(The length of segment AB)

∴ SF = (6 units)/(2 units) = 3

Therefore, ΔABE maps to ΔACD by either of the following;

1) A dilation with a scale factor of 3 about point A

2) A dilation with a scale factor of 3 about point B followed by a translation of 4 units downwards.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: