1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solniwko [45]
3 years ago
13

Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some informat

ion? DC∥AB
Step 1: Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2: Side DB is congruent to side BD because they're the same segment.
Step 3: Angle A is congruent to angle C because they're both right angles.
Step 4: By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
and WHY?
Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

From the image, we can see that DC is parallel to AB.

Step 1:

Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.

Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Step 2:

DB ≅ BD (reflexive property of congruence)

Step 3:

∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:

Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.

Step 4:

BD = DB, angles CDB and ABD  are congruent, angle ADB and CBD are congruent.

Therefore,  By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .

You might be interested in
Please help!!! Again can someone explain to me like I'm a child I'm kinda slow :)
vfiekz [6]

Answer:

información ℹ ‍♂️ ️ ℹ ‍♀️ ️ ℹ ‍♀️ ️ ℹ ‍♂️ ️ ℹ ‍♂️ ️ ℹ que no me lo esperaba en

7 0
2 years ago
Find the work done by a force that is given by the vector (2,6) in moving an object in a straight line from point
bekas [8.4K]

Answer:

B. 54 Joules

Step-by-step explanation:

6 0
3 years ago
What is perimeter of rectangle JKLM?
Sloan [31]

Answer: 16 units

Step-by-step explanation:

Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16

6 0
3 years ago
Read 2 more answers
Seventy-eight is 26% of what number?
tensa zangetsu [6.8K]
78 / 0.26 = 300 so the answer is 300
8 0
3 years ago
Z = -3x +5y<br> Minimum value of z?
NeTakaya

Answer:

minimum value of z is 0

Step-by-step explanation:

if x and y both equal zero, then the value of z is zero, which is your answer.

7 0
3 years ago
Other questions:
  • Please help me real fast <br><br> What is the simplified form of the expression?<br> Picture below
    9·1 answer
  • If 10 miles is about 16 kilometers and the distance between two towns is 45 miles use a ratio table to find the distance between
    9·1 answer
  • Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?
    8·2 answers
  • A 6 cm segment is bisected. What is the length from the bisector to the endpoint of the segment? A. 2 cm B. 3 cm C. 6 cm D. 12 c
    11·1 answer
  • 3x to the power of 3 subtracted by 2x to the power of 2
    7·1 answer
  • Plz help, this is for a quiz, <br><br> 32 + (5 − 2) ⋅ 4 − 6 over 3
    12·2 answers
  • The table below shows two equations:
    10·2 answers
  • To make lemonade , Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of
    12·1 answer
  • A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?
    5·2 answers
  • PLEASE HELP!!!! The class was given this problem and asked to solve for "x". Craig says that x = 11/cos(37). Laura disagrees and
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!