Mathematics

Grade9

Easy

Question

# If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?

- SAS similarity criteria
- SSS similarity criteria
- AA similarity criteria
- Data inadequate

Hint:

### In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.

## The correct answer is: AA similarity criteria

### In ΔABC and ΔGBH,

B= B (common angle)

BGH = BAC (Corresponding angles are equal as GH || AC)

Then by AA similarity criteria, ΔABC ~ ΔGBH

### Related Questions to study

Mathematics

### If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?

### If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?

MathematicsGrade9

Mathematics

### Scale factor of A to B is 2: 9. If the perimeter of A is 18 cm, what is the perimeter of B?

### Scale factor of A to B is 2: 9. If the perimeter of A is 18 cm, what is the perimeter of B?

MathematicsGrade9

Mathematics

### If the perimeter of two triangles ABC and PQR are 24 and 36, respectively. What is the ratio of their corresponding sides?

### If the perimeter of two triangles ABC and PQR are 24 and 36, respectively. What is the ratio of their corresponding sides?

MathematicsGrade9

Mathematics

### If the areas of two similar triangles are in the ratio 9:16, then their corresponding sides are in the ratio

### If the areas of two similar triangles are in the ratio 9:16, then their corresponding sides are in the ratio

MathematicsGrade9

Mathematics

### In the given figure, DE || BC, and all measurements are in centimeters. The length of AC is

### In the given figure, DE || BC, and all measurements are in centimeters. The length of AC is

MathematicsGrade9

Mathematics

### The ratio of perimeter similar to triangles is equal to

### The ratio of perimeter similar to triangles is equal to

MathematicsGrade9

Mathematics

### Find the length of CD of the following figure if AB ll DE.

### Find the length of CD of the following figure if AB ll DE.

MathematicsGrade9

Mathematics

### If the triangles in the figure are similar, then what is the measure of ?

### If the triangles in the figure are similar, then what is the measure of ?

MathematicsGrade9

Mathematics

### In the given figure ∆ADE ~ ∆ABC, if AD = 6 cm, DB = 9 cm, and AE = 8 cm, then what will be the value of AC?

### In the given figure ∆ADE ~ ∆ABC, if AD = 6 cm, DB = 9 cm, and AE = 8 cm, then what will be the value of AC?

MathematicsGrade9

Mathematics

### If AD is the bisector of . find the .

### If AD is the bisector of . find the .

MathematicsGrade9

Mathematics

### If ∆UDE ~ ∆UTS, then find the measure of .

### If ∆UDE ~ ∆UTS, then find the measure of .

MathematicsGrade9

Mathematics

### Given two triangles are similar. Which is the similarity criteria it satisfies?

### Given two triangles are similar. Which is the similarity criteria it satisfies?

MathematicsGrade9

Mathematics

### Find the value of KJ. .

### Find the value of KJ. .

MathematicsGrade9

Mathematics

### If two triangles UBC ~ UST, then find the value of BS.

### If two triangles UBC ~ UST, then find the value of BS.

MathematicsGrade9

Mathematics

### satisfies which similarity criteria?

then by AA similarity criteria

### satisfies which similarity criteria?

MathematicsGrade9

then by AA similarity criteria