Welcome to your Grade 9 Mathematics chapter 6
After carefully reading the following 30 questions, choose the correct answer.
1.
Which term describes geometric figures that are identical in both size and shape?
2.
Under which congruency condition are two triangles congruent if they have equal corresponding sides?
3.
If two triangles are similar, the ratio of their perimeters is equal to:
4.
Which theorem states that two triangles are similar if two angles of one are congruent to the corresponding two angles of the other?
5.
What is the ratio of the areas of two similar figures if the ratio of their corresponding sides is k?
6.
In SAS congruency, the congruent angle must be:
7.
Two plane figures are similar if their corresponding angles are congruent and their corresponding sides are:
8.
What happens to the angles of a figure under an enlargement?
9.
Which congruency condition is specifically for right-angled triangles?
10.
If ΔABC≅ΔDEF, and ∠A=45∘, ∠C=85∘, what is the measure of ∠E?
11.
The ratio of a line segment on an enlargement to the length of the corresponding line segment on the original is called:
12.
If ΔABC∼ΔDEF with side ratios 4:2.8, 5:3.5, and 6:4.2, then the triangles are similar by:
13.
In a triangle, if a line is drawn parallel to one side, the small triangle cut off is:
14.
If the scale factor between two similar triangles is 3:1, what is the ratio of their areas?
15.
Which condition involves two pairs of congruent angles and a congruent side between them?
16.
If ΔBIG∼ΔHAT and the scale factor is 3/5, and BG=21, find HT.
17.
The perimeters of two similar triangles are 12 cm and 18 cm. What is the ratio of their corresponding sides?
18.
Which term describes the likeness of figures in geometry?
19.
In RHS congruency, which side of the right triangle must be equal?
20.
If the ratio of the corresponding sides of two similar plane figures is 2/5, what is the ratio of their perimeters?
21.
Under enlargement, images and their original lines are:
22.
For two triangles to be similar by SAS, the corresponding included angles must be:
23.
If ΔABC∼ΔDEF, then ∠D=∠A, ∠E=∠B, and ∠F=∠C. This refers to:
24.
What is the difference between congruency and similarity in triangles?
25.
In an isosceles triangle ABC with AB≅AC, the altitude AD to the base BC bisects:
26.
If two figures are congruent, what is their scale factor?
27.
The SAS similarity theorem requires how many sides to be proportional?
28.
Joining the midpoints of the sides of a triangle creates four triangles that are:
29.
If AD is an altitude of isosceles ΔABC (AB=AC), which statement is true by RHS?
30.
What is the abbreviation for Angle-Side-Angle congruency?
