For each statement, write A if the statement is always true, S if the statement is sometimes true, and N if the statement is never true.1. Two rectangles are similar.2. Two rhombi are similar.4.3. Two squares are similar.4. Two equilateral triangles are similar.5. Two isosceles trapezoids are similar.6. A quadrilateral is similar to a pentagon.7. A right triangle is similar to an equilateral triangle.8. If AABC = ADEF and ADEF ~AXYZ, then AABC~AXYZ.9. Two congruent triangles are similar.10. Two similar triangles are congruent
Question
For each statement, write A if the statement is always true, S if the statement is sometimes true, and N if the statement is never true.1. Two rectangles are similar.2. Two rhombi are similar.4.3. Two squares are similar.4. Two equilateral triangles are similar.5. Two isosceles trapezoids are similar.6. A quadrilateral is similar to a pentagon.7. A right triangle is similar to an equilateral triangle.8. If AABC = ADEF and ADEF ~AXYZ, then AABC~AXYZ.9. Two congruent triangles are similar.10. Two similar triangles are congruent
Solution
- A - Two rectangles are always similar.
- S - Two rhombi are sometimes similar.
- A - Two squares are always similar.
- A - Two equilateral triangles are always similar.
- S - Two isosceles trapezoids are sometimes similar.
- N - A quadrilateral is never similar to a pentagon.
- N - A right triangle is never similar to an equilateral triangle.
- A - If AABC = ADEF and ADEF ~AXYZ, then AABC~AXYZ is always true.
- A - Two congruent triangles are always similar.
- S - Two similar triangles are sometimes congruent.
Similar Questions
Which of the following statement is false?(a) All isosceles triangles are similar. (b) All quadrilateral are similar.(c) All circles are similar. (d) None of the above
State whether True or False.(a) All rectangles are squares. (b) All rhombuses are parallelograms.(c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms.(e) All kites are rhombuses. (f) All rhombuses are kites.(g) All parallelograms are trapeziums. (h) All squares are trapeziums.
Determine if the following statements are true or false.A rectangle is a parallelogram. Answer 1 Question 1A rhombus is a parlallelogram. Answer 2 Question 1A kite is a parallelogram. Answer 3 Question 1A trapezium is a parallelogram. Answer 4 Question 1A square is a rhombus. Answer 5 Question 1A square is a rectangle. Answer 6 Question 1A square is a kite. Answer 7 Question 1A rhombus is a kite. Answer 8 Question 1A rectangle is a rhombus. Answer 9 Question 1A rectangle is a square. Answer 10 Question 1CheckQuestion 1
Complete the following sentence by choosing from the given list.If two polygons are similar their corresponding angles are Answer 1 Question 2 in size and their corresponding sides are in the same Answer 2 Question 2.
Visualization, Reasoning and Proof, and SimilarityYou can show that two triangles are similar when certain relationships exist betweentwo or three pairs of corresponding parts. If you know two triangles are similar, thenyou know their corresponding sides are proportional.Task 1In the diagram below, AC 6 DF 6 BH and CB 6 FE.A DC GBHFEa. Find four similar triangles. Explain how you know that they are all similar.b. Using the similar triangles you found in part (a), complete the followingextended proportion:ABAC 5 DEj 5 jDG 5 jj
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.