Which statement can be used to prove that the two triangles are congruent?

A: the HL Theorem

B: the Angle-Side-Angle Postulate (ASA)

C: the Angle-Angle-Side Theorem (AAS)

D: the SAS Postulate

HL Theorem

Step-by-step explanation:

Here, we see that both triangles have a right angle, making them right triangles.  We know that the hypotenuse must be equivalent, as it is the same line.  Furthermore, we see that one of the legs from each triangle are equivalent.  Therefore, we can use HL Theorem to prove these triangles are equal.

The SAS postulate

Step-by-step explanation:

Thus the two triangles are congruent as evidenced by the SAS postulate.

abde or 1,2,4, 5 is the answer

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.