iven a correspondence between two right triangles, prove that if the hypothenuse and one leg of one triangle are congruent to the corresponding parts of the second, then the two triangles are congruent.

Q: Can there be a right triangle with sides of length 1, 2, and 3? Why or why not? Can you find a right…

A: In a right angle triangle we know that Hypotenuse2 = Base 2+Perpendicular2

Q: Chris knows that when the sun is at a certain angle, a 30 foot tall lighthouse will cast a shadow…

A: Given: Height of the lighthouse, BC=30 ft. Shadow of the lighthouse, AB=14 ft. Height of Chris, DE=6…

Q: Prove that the triangles in the diagram are similar.

A: A triangle is said to be similar if they have the same ratio of corresponding sides and equal pair…

Q: Use the following theorem to construct a triangle similar to the given triangle but with sides that…

A: We need to construct a similar triangle to the given triangle so that the sides should be in…

Q: Shannon said that a triangle with exactly 2 congruent sides and an obtuse angle is an equilateral…

A: Explanation

Q: 2. (a) Explain what it means to say that two triangles are similar. (b) State a condition for two…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: DC || AB D A В

A: BY USING ASA RULE WE CAN PROVE THAT BOTH TRIANGLE ARE CONGRURENT

Q: Which pair of triangles does not attempt to prove congruency by stating that all three angles are…

A:

Q: 3 sides of a triangle are equal to another triangle then prove that triangles are congruent

A:

Q: 4. 6. 5. 7.

A:

Q: Fill in the blank. Two triangles are congruent if and only if corresponding pairs of angles X and…

A:

Q: 2. BD is an altitude of right triangle ABC. Complete the similarity statement: AABC AABC ABDA ACDB…

A: We can prove this by similarity theorem We will get  △ABC ~△ABD ~△BCD

Q: Which of the following side lengths of a Triangle DO NOT IN fact make a Right Triangle? * 3, 4,5 9,…

A: In this question given that triangle three sides and ask that which option do not correct for a…

Q: Question 4 Consider the two triangles shown below. Which of the triangle congru-

A: Given query is to find the congruency theorem.

Q: Evaluate the following using a trigonometric substitution. Draw and label a reference right…

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Q: help prove why this triangle is congruent using statements and reasoning

A: Given triangle ABC

Q: By what rule would these two triangles be congruent? ASA (angle-side-angle) Congruence Postulate SAS…

A: To Determine: by what rule would these two triangles be congruent? Given: we have a figure of…

Q: Identity if the pair of right triangles are congruent. Write the ne Conclusion: D C Congruence…

A: Note:-Since you asked multiple questions, according to our polciy we can answer only first question…

Q: state what additional information is required in order to know that the triangles are congruent for…

A: To determine the condition so that the given triangles become congruent according to ASA.