All categories

3 years ago

Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?

Mathematics

1 answer:

kramer3 years ago

4 0

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.

You might be interested in

laurens suv was detected exceeding the posted speed limit of 60 kilometers per hour , how many kilometers would she have been tr

Vlada [557]

Answer:

60 kilometers per hour (kmph) over the limit

Step-by-step explanation:

The speed limit is 60 kmph

Let's find his original rate:

We know D = RT

Where

D is the distance, in km

R is the rate, in kmph

T is the time in hours

He went 10 km in 5 minutes, so we need the time in hours, first. That would be:

5/60 = 1/12 hour

So, putting into formula, we find rate:

D = RT

10 = R(1/12)

R = 10/(1/12)

R = 10 * 12

R = 120 kmph

He was going over by:

120 - 60 = 60 kmph

6 0

3 years ago

if you work 7 hours Monday , 5 wholes and 3/4 hours on Tuesday and 3.2 hours on friday and you earn $8.50 how much money did he

malfutka [58]

135.757. Good luck !!!!

5 0

3 years ago

Please help with this problem. SOLVE FOR X

kolezko [41]

C.6 i think, sorry if it’s wrong but my reasoning was that 50 + 58 = 108 and the interior of a triangle is 180 degrees so then you would subtract 180 - 108 = 72, then i did some guess work plugging in the different answers into the equation and 11 x 6 + 6 = 72 which was the missing angle from before

5 0

3 years ago

Read 2 more answers

Could I get some help PLEASE!!

kati45 [8]

Not similar, since the ratio of corespondent side is not constant
suppose ∆PRQ ~ ∆MRN, then RN/RP = RM/RQ but the reality contradict

4 0

3 years ago

Perform the indicated operation. 15b/4 * 8/9a^2b^2

Sergio [31]

Answer:

The simplified expression is $\frac{10}{3 a^2 b}$

Step-by-step explanation:

The given expression is:

$\frac{15b}{4} * \frac{8}{9a^2 b^2}$

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

$= \frac{120b}{36 a^2 b^2} \\\\$

Divide both the numerator and the denominator by 12b:

$= \frac{120b /12b}{36 a^2 b^2/12b}$

The expression finally becomes:

$= \frac{10}{3 a^2 b}$

7 0

3 years ago