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ladessa [460]
3 years ago
10

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

Mathematics
2 answers:
Lynna [10]3 years ago
3 0
7. YZ
8. 27,49
9. 51
10.c
11. b
Nana76 [90]3 years ago
3 0

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

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