Checking and securing understanding of congruent triangles (RHS)

12 questions

1. Two shapes will always be congruent if...
2. Two triangles are guaranteed to be congruent if...
3. Are these two triangles congruent? Explain your answer.
4. These two triangles are congruent. Match each side length to its value.
5. Given these two triangles are congruent, the angle marked x is ___°.
6. ABCD is a rhombus. Select all the statements needed to show that triangles ABD and BCD are congruent using the ASA congruence condition.
7. Pythagoras’ theorem states that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of the ___.
8. The lengths of the 3 edges of some triangles are given. Select all the right-angled triangles.
9. A right-angled triangle has a hypotenuse of 17 m. Select the possible lengths of the two shorter sides.
10. Which of these pairs of triangles are congruent?
11. Triangle ABC and triangle DEF are congruent and AB > BC. The length of the side x is ___ cm.
12. Match each letter which the correct statement to complete the proof that triangle DAC and triangle ABC are congruent.

License: OGL