Geometrical Properties and Proportions in Similar Triangles Quiz

Explore geometric properties & ratios in similar triangles with this quiz. Understand angles, sides, perimeters, and more.

#1

In similar triangles, if one angle is 45 degrees, what are the measures of the other two angles?

45° and 90°
30° and 105°
60° and 75°
50° and 85°
#2

What is the ratio of the corresponding sides in similar triangles?

They are equal
They are proportional
They are perpendicular
They are supplementary
#3

In similar triangles, what is the relationship between the measures of corresponding angles?

They are always equal
They are always supplementary
They are always complementary
They are congruent
#4

If the ratio of the areas of two similar triangles is 9:16, what is the ratio of their corresponding sides?

3:4
4:3
9:16
16:9
#5

If the area of a triangle is doubled by doubling the lengths of all its sides, what is the ratio of the corresponding altitudes?

1:2
2:1
1:4
4:1
#6

If the ratio of corresponding sides of two similar triangles is 2:3, what is the ratio of their areas?

1:2
4:9
2:3
8:27
#7

In similar triangles, what is the relationship between the lengths of corresponding altitudes?

They are equal
They are proportional
They are perpendicular
They are supplementary
#8

What is the Pythagorean Theorem?

a² = b² + c²
a² + b² = c²
a² - b² = c²
a² + c² = b²
#9

If the lengths of the corresponding sides of two similar triangles are in the ratio 2:5, what is the ratio of their perimeters?

2:5
5:2
4:5
5:4
#10

If the ratio of the areas of two similar triangles is 25:64, what is the ratio of their corresponding heights?

1:2
5:8
8:5
2:1
#11

If the perimeter of one triangle is 30 cm and the perimeter of another similar triangle is 45 cm, what is the ratio of their perimeters?

1:2
2:3
3:4
4:5
#12

In similar triangles, if the ratio of the lengths of two corresponding sides is 3:4, what is the ratio of their altitudes drawn to those sides?

3:4
4:3
9:16
16:9
#13

In similar triangles, if the ratio of the lengths of corresponding sides is 5:8, what is the ratio of their perimeters?

5:8
8:5
5:13
13:5
#14

If the ratio of corresponding sides of two similar triangles is 3:4, what is the ratio of their areas?

3:16
9:16
16:9
16:3
#15

If the ratio of the perimeters of two similar triangles is 3:5, what is the ratio of their corresponding sides?

3:5
5:3
9:25
25:9

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