Answer:
Question 5: Angle B
Question 2:
AB: 1/2
AD: 1/4
Distance between point C and segment AB: 1/2
Question 3:
angle ABC corresponds to angle PQR
Segment AD corresponds to segment PS
from polygon ABCD to PQRS, the scale factor is 2/3
Question 4:
No, not all sides were multiplied by the same factor
Step-by-step explanation:
Question 5: Look at the order of the polygons:
1. A, B, C, D
2. E, F, G, H
3. I, J, K, L
There is no option for angle F so the answer is angle B
Question 2: Look at the information
- Scale factor of 4 -> 4 times corresponding size
AB: scaled size is 2 -> corresponding size is 2/4 -> 1/2
AD: scaled size is 1 -> corresponding size is 1/4
distance between point C and segment AB: 2 -> 2/4 -> 1/2
Question 3:
Look at the polygons, they are similar so...
1. Pick an order for the angles and apply it to both polygons:
Ex: ABCD PQRS (start with top left, go down, go down diagonally, go up diagonally)
2. Look at the order you picked and answer the questions:
*1:A 2:B 3:C 4:D -> 1:P 2:Q 3:R 4:S (so A corresponds to P)
angle ABC corresponds to angle PQR (1: A -> P, 2: B->Q, 3: C -> R)
Segment AD corresponds to segment PS (1: A -> P 4: D -> S)
3. For the scale factor compare the length of a segment in one of the polygons to the length of the corresponding segment in the other polygon
Ex: segment AD corresponds to segment PS -> AD = 2 units PS = 3
so from ABCD to PQRS, the scale factor is
AD/PS = AB/PQ = BC/QR = CD = RS
* "/" is divide -> fraction
so if I choose the length of AD and PS, the scale factor is AD/PS -> 2/3
Question 4:
If you look at the two polygons you can see that...
- segment CD was multiplied by a scale factor of 2 to get segment RS
- segment BC was multiplied by a scale factor of 1 to get segment QR
- segment ED was multiplied by a scale factor of 1 to get segment TS
- etc.
since the scale factors are not the same, the two polygons are not scaled copies of each other
