Question

Circles A and V are shown. Line segments A E, A D, and A B are radii. A line is drawn from point B to point C to form a secant. Lines are drawn from point B to point E and from point E to point D to form secants. Line segments V X, V Z and V Y are radii. A line is drawn from point X to point W to form a secant. Lines are drawn from point Y to point Z and from point Z to point X to form secants. Angles B A E and X V Z are congruent. Given , ⊙A ≅ ⊙V, what congruency statements can you make? Check all that apply. BC ≅ ZY Arc B E ≅ Arc Z X Arc C B ≅ Arc Y Z ∠DAB ≅ ∠ZVX Arc D E ≅ Arc W X BE ≅ ZX

Answer 1

Answer:

Arc B E ≅ Arc Z X

BE ≅ ZX

Step-by-step explanation:

2 and 6 or B and F

Answer 2

Since angle BAE and angle XVZ in the two (2) circles are congruent, the true congruency statements are:

• Arc BE ≅ Arc ZX

• BE ≅ ZX

The properties of similar circles.

In Geometry, two (2) circles are considered to be congruent when they both have the same radii and they subtend equal angles at their centers.

Based on the side, angle, side (SAS) criterion and since angles BAE and XVZ in the two (2) circles are congruent, we can logically deduce the following congruency statements:

• Arc BE is congruent to Arc ZX (Arc BE ≅ Arc ZX).

• Side BE is congruent to side ZX. (BE ≅ ZX).

Read more on congruency here: brainly.com/question/11844452

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