Question

question 8 of 10

a right triangle with two congruent legs is always a 45-45-90 triangle.

a. true
b. false

Explanation:

Define the given geometric properties

Using the Isosceles Triangle Theorem and Special Right Triangles knowledge points
Let the right triangle be \(\triangle ABC\) with \(\angle C = 90^\circ\).
The legs are congruent: \(AC = BC\).

Calculate the acute angle measures

Using the Isosceles Triangle Theorem and 45-45-90 Triangle Theorem knowledge points

$$
LATEXBLOCK0
$$

Evaluate the statement validity

Using the 45-45-90 Triangle Theorem knowledge point
The angles of the triangle are exactly \(45^\circ\), \(45^\circ\), and \(90^\circ\).
Thus, the statement is always true.

Answer:

• A. True (Correct answer)
• B. False