The triangles shown are similar. which angle corresponds to angle e?
a) ∠p
b) ∠q
c) ∠r
d) ∠d

two similar rectangles are shown. which statement is true?
a) the area of rectangle b is
1
3
the area of rectangle a.
b) the area of rectangle b is
1
9
the area of rectangle a.
c) the area of rectangle b is nine times the area of rectangle a.
d) the area of rectangle b is three times the area of rectangle a.

which pair of rectangles are similar?
a) a and b
b) a and d
c) a and f
d) a and g

2) Option A

3) Option C

5) Option D

Step-by-step explanation:

2) In two similar triangles shown PQR and DEF all corresponding sides will be in the same ratio.

Similarly angles opposite to the corresponding sides in congruent triangles will be equal which shows

∠E = ∠P

Option A is the correct answer.

3). If the given rectangles are similar then sides of the rectangles will be in

the same ratio.

Then area of A = 1×2 =2

and area of B = 3×6 =18

Ratio of the area of A and B = 2/18 = 1/9

area of B = 9A

So option C is the correct answer.

5). In this part we will count the number of small squares at the background of each rectangle.

For rectangle A sides are 4 and 8.

For rectangle B sides are 3 and 4.

For C sides are 3 and 6.

For D sides are 2 and 5.

For E sides are 2 and 4.

For F sides are 2 and 3.

For G sides are 1 and 2.

For H sides are 1 and 3.

Now as per options given pair A and G are similar as the ratio of their sides are same.

A/G = 2/1

Therefore Option D is the answer.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25