Lesson Worksheet: Angle-Angle Triangle Similarity Mathematics • 11th Grade
In this worksheet, we will practice determining whether two triangles are similar using the equality of corresponding angles (Angle-Angle criteria) and using the similarity to find unknown angles.
Q1:
Find the length of .
Q2:
The figure shows triangle .
Work out the value of .
Work out the value of .
Work out the perimeter of .
Q3:
In the given figure, lies on both and . and each have a length of 4, and has a length of 3.
Calculate the length of .
- A
- B5
- C4
- D3
- E
Calculate the length of .
Hence, calculate the length of .
- A
- B1
- C
- D3
- E4
Q4:
Determine the length of .
Q5:
If , find the length of .
Q6:
In the two triangles shown, and . What is ?
Q7:
What does the AA criterion for triangles allow us to prove?
- AIf two corresponding angles in two triangles have equal measures, then they must be similar.
- BIf the corresponding sides of two triangles are proportional, then the two triangles are similar.
- CIf, in the two triangles, one pair of corresponding sides are proportional and the included angles are equal, then the two triangles are similar.
- DIf a corresponding side and angle are equal in two triangles, then the two triangles are similar.
- EIf the corresponding sides of two triangles are equal, then the two triangles are congruent.
Q8:
Find the length of .
Q9:
Triangles and in the given figure are similar. What, if anything, must be true of the lines and ?
- AThey are parallel.
- BThey are perpendicular.
Q10:
In the given figure, and are parallel. Using the AA criterion, what can we say about triangles and ?
- AThey are congruent.
- BThey are neither similar nor congruent.
- CThey are isosceles triangles.
- DThey are similar.
- EThey are equilateral triangles.
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