Welcome to your GRADE 8 MATHEMATICS CHAPTER 4
After carefully reading the following 30 questions, choose the correct answer.
1.
Which of the following is the definition of similar figures?
2.
What are the two conditions for two polygons to be similar?
3.
If △ABC∼△DEF, which of the following is true about their angles?
4.
What is the constant of proportionality (scale factor) of two similar triangles?
5.
Which theorem states that two triangles are similar if two angles of one are congruent to two angles of the other?
6.
If the ratio of corresponding sides of two similar triangles is k, what is the ratio of their perimeters?
7.
If the ratio of corresponding sides of two similar triangles is k, what is the ratio of their areas?
8.
Two triangles are similar by SSS if:
9.
If △ABC∼△PQR with a scale factor of 3:4 and the perimeter of △ABC is 12 cm, what is the perimeter of △PQR?
10.
Which similarity theorem requires one angle to be congruent and the sides including that angle to be proportional?
11.
If a book 12cm tall makes a shadow 18cm tall, what is the scale factor of the book to its shadow?
12.
If the area of △ABC is 16 and the area of similar △DEF is 64, what is the ratio of their corresponding sides?
13.
In similar triangles, the ratio of any two corresponding altitudes is equal to:
14.
If △ABC∼△XYZ and m(∠A)=40∘, m(∠B)=60∘, what is m(∠Z)?
15.
A man 1.8m tall has a shadow 4.2m long. If a building has a shadow 28m long, how tall is the building?
16.
Two triangles are similar if their corresponding sides are:
17.
If the scale factor of △1 to △2 is 1/3, then the ratio of Area(△1) to Area(△2) is:
18.
Similarity of figures is denoted by the symbol:
19.
For △ABC and △DEF to be similar by AA, how many pairs of corresponding angles must be congruent?
20.
If sides of △ABC are 4, 9, 11 and the shortest side of similar △DEF is 12, what is the scale factor of △ABC to △DEF?
21.
Which of the following is NOT a test for similarity of triangles?
22.
If the constant of proportionality of △LMN to △PQR is 2/3, and LM=12, what is PQ?
23.
The ratio of the perimeters of two similar triangles is equal to the ratio of their:
24.
If △ABC∼△DEF, then AB/DE=BC/EF=AC/DF represents:
25.
If two triangles are congruent, they are also:
26.
Which theorem uses the ratio of three pairs of sides?
27.
In △ABC, if a line is drawn parallel to BC intersecting AB at D and AC at E, then △ABC∼△ADE by which theorem?
28.
If △ABC∼△DEF and the scale factor is 1, then the triangles are:
29.
If the sides of a triangle are 3,4,5, a similar triangle with scale factor 2 has sides:
30.
The ratio of areas of two similar triangles is 25:49. What is the ratio of their perimeters?
