# Geometry help plzzz

*label*Mathematics

*timer*Asked: Jun 26th, 2018

*account_balance_wallet*$10

**Question description**

- ABCD ≅ FGHJ. Find the measure of the given angles or lengths of the given sides. CD = 2x + 3; HJ = 3x + 2.
- A student is gluing same-sized toothpicks together to make triangles. She plans to use these triangles to make a model of a bridge. Will all of the triangles be congruent? Explain your answer.
- Construct a figure that involves two congruent triangles. Set up given statements and write a proof that corresponding parts of the triangles are congruent.
- Explain how a corollary is related to a theorem. Use examples from this lesson in making your comparison.
- Describe or draw a diagram of a pair of triangles that share a common angle and a common side.

## Tutor Answer

Hey devdog....!!!Here's the solution file.

Q1:- ABCD ≅ FGHJ. Find the measure of the given angles or lengths of the given

sides. CD = 2x + 3; HJ = 3x + 2.

Sol: As we can see that ABCD ≅ FGHJ,

So

CD = HJ

Now substituting the values of CD and HJ in above, we get

2x+3 = 3x+2

2x – 3x = 2 – 3

-x=-1

x=1

Now substituting the value of x in CD and HJ, we get the measure of lengths.

CD = 2x+3=2(1)+3=2+3=5 units

HJ = 3x+2=3(1)+2=3+2=5 units

Hence

Q2: - A ...

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