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- 1. Multiple Choice
Based on the drawing, which of the following statements is true?
The triangles are similar because the lengths of the sides are congruent.
The triangles are not similar because the corresponding angles are not congruent.
The triangles are similar because the corresponding angles are congruent.
Can not determine if the triangles are similar because the scale factor is unknown.
- 2. Multiple Choice
The Gateway Arch in Missouri casts a 120 foot shadow while a 16 foot pole casts a 4 foot shadow. How tall is the Arch?
30 feet
360 feet
480 feet
600 feet
- 3. Multiple Choice9. Which conditions must be met for two triangles to be similar?Corresponding angles are congruent, and corresponding sides are proportional.Corresponding angles are congruent, and corresponding sides are congruent.Corresponding angles are unequal, and corresponding sides are proportional.Corresponding angles are proportional, and corresponding sides are congruent.
- 4. Multiple Choice10. These triangles are similar. They are not drawn to scale. What is the length of segment VW?2347
- 5. Multiple ChoiceFigure Y is a dilation of Figure X.Which number best represents the scale factor used to change Figure X into Figure Y?0.251.544.5
- 6. Multiple ChoiceHow do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)AASASSSSNot Similar - 7. Multiple ChoiceFind the missing length.410812
- 8. Multiple Choice
Are the following triangles similar? If so, which postulate or theorem justifies this?
Yes, by AA
Yes, by SAS
Yes, by SSS
Not similar
- 9. Multiple Choice
Are the following triangles similar? If so, which postulate or theorem justifies this?
Yes, by AA
Yes, by SAS
Yes, by SSS
Not similar
- 10. Multiple Choice
Are the following triangles similar? If so, which postulate or theorem justifies this?
Yes, by AA
Yes, by SAS
Yes, by SSS
Not similar
- 11. Multiple Choice
Are the following triangles similar? If so, which postulate or theorem justifies this?
Yes, by AA
Yes, by SAS
Yes, by SSS
Not similar
- 12. Fill in the Blank
Find the value of x.
- 13. Multiple Choice
The ratio of the measures of the angles of a triangle is 6:2:7. Find the measure of the largest angle.
15
30
84
90
- 14. Multiple Choice
The ratio of the measures of the sides of a triangle is 4:9:8. If the perimeter
of the triangle is 147 feet, find the measure of the shortest side.
7
28
56
63
- 15. Multiple ChoiceFind the value of x.x = 4.5x = 9x = 30x = 3
- 16. Multiple Choice
Not Similar
Yes, Triangle Proportionality Converse
Yes, Triangle Midsegment Theorem
Yes, Pythagorean Theorem
- 17. Multiple Choice
Not Similar
Yes, Triangle Proportionality Converse
Yes, Triangle Midsegment Theorem
Yes, Pythagorean Theorem
- 18. Multiple ChoiceChoose the correct scale factor:231/31/2
- 19. Multiple ChoiceSolve for x.x = 5x = 3x = 14x = 1
- 20. Multiple ChoiceSimilar Triangles can be used to find the distance across the river. Review the picture. Find the missing side measurement in the picture using a proportion.x = 900 m25 mx = 25 mx = 0.04 m
- 21. Multiple ChoiceFill in the similarity statement for these two triangles.
ΔLMN ~ΔGEFΔEFGΔFEGΔGFE - 22. Multiple ChoiceFind the value of x.10358None of these
- Answer choicesTagsAnswer choicesTags