Question

Use the congruent triangles shown to answer question 6 and 7.

Answer 1

7. YZ
8. 27,49
9. 51
10.c
11. b

Answer 2

Answer:

Part 7) is the option $BC=YZ$

Part 8) is the option B $27;49\°$

Part 9) is the option C $61\°$

Part 10) is the option C $(1,-1)$

Part 11) is the option B scalene, isosceles, equilateral

Step-by-step explanation:

Part 7)

In this problem we know that

$AB=XY$

$BC=YZ$

$AC=ZX$

therefore

$BC=YZ$

Part 8)

we know that

If triangle ABC is similar to triangle DEF

then

the ratio of their corresponding sides are equal and their corresponding angles are equal

In this problem  

Applying the Pythagoras theorem

$FE^{2}=FD^{2}-DE^{2}$

substitute the values  

$EF^{2}=45^{2}-36^{2}$

$EF=27$

$EF=BC$ ------> the triangles are congruent

therefore

$EF=27$

m∠D=$49\°$

Part 9)

we know that

The sum of the internal angles of a triangle is equal to $180\°$

so

Let

x------> the third internal angle of the triangle

$90\°+29\°+x=180\°$

solve for x

$x=180\°-119\°=61\°$

Part 10)

we know that

the rule of the translation is

$(x,y)--------> (x+3,y-2)$

the coordinates of the pre-image of point $A(-2,1)$

Find the coordinates of the image of point A

Applying the rule of the translation

$(-2,1)--------> (-2+3,1-2)$

$(-2,1)--------> (1,-1)$

Part 11)

we know that

An isosceles triangle has two equal sides

An equilateral triangle has three equal sides

A scalene triangle has no equal sides

therefore

the answer is the option B