Identify the similar triangles in the diagram, then sketch them so the corresponding sides and angles have the same orientation. ### Directions: Identify the similar triangles in each case. Recall that similar triangles have the same shape, meaning corresponding sides and angles have the same properties.#### Problem 1Consider the triangle $LZM$ and $LJK$. In the diagram, two right triangles are shown:- Triangle $ LZK $ has a right angle at $ M $.- Triangle $ JMK $ has a right angle at $ K $.**Diagram Explanation:**In the diagram, we have two overlapping triangles sharing the same height from point $ L $ to point $ K $. The point $ M $ forms a right angle with both points $ J $ and $ K $.**Question:** Identify the pairs of similar triangles in the image above.#### Problem 2Consider the triangle $XY$ and the triangle $XZ$. Both triangles share the same base $X$, but form different angles:- Triangle $ XYZ $ has a right angle.- Smaller triangle inside the larger triangle also has a right angle at point $X$ and is marked.**Diagram Explanation:**In the diagram, two right triangles are shown, one overlapping the other:- One is the larger triangle $ XYZ $.- The other is a smaller, internal triangle sharing the same perpendicular height from $Y$ to $ Y$.**Question:** Identify the pairs of similar triangles in the image above.### Directions: Solve for $ x $.#### Problem 3A set of similar triangles is given, with various sides marked as $x$, representing scales and dimensions to be calculated based on given similar properties. (Note: The details of Problem 3 are not visible in the provided image)

Answered: Image /qna-images/answer/9c03fec8-3898-4213-a02f-77df6a26ed55.jpg

Answered: Identify the similar triangles in the…

Identify the similar triangles in the diagram, then sketch them so the corresponding sides and angles have the same orientation.

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter11: Graphs

Section11.1: Use The Rectangular Coordinate System

Problem 11.2TI: Use the map in Figure 11.2. a. Find the grid section of the Parking Garage. b. What is located in...

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Question

Identify the similar triangles in the diagram, then sketch them so the corresponding sides and angles have the same orientation.

### Directions: Identify the similar triangles in each case. Recall that similar triangles have the same shape, meaning corresponding sides and angles have the same properties.

#### Problem 1
Consider the triangle $LZM$ and $LJK$. In the diagram, two right triangles are shown:

- Triangle $ LZK $ has a right angle at $ M $.
- Triangle $ JMK $ has a right angle at $ K $.

**Diagram Explanation:**

In the diagram, we have two overlapping triangles sharing the same height from point $ L $ to point $ K $. The point $ M $ forms a right angle with both points $ J $ and $ K $.

**Question:** Identify the pairs of similar triangles in the image above.

#### Problem 2
Consider the triangle $XY$ and the triangle $XZ$. Both triangles share the same base $X$, but form different angles:

- Triangle $ XYZ $ has a right angle.
- Smaller triangle inside the larger triangle also has a right angle at point $X$ and is marked.

**Diagram Explanation:**

In the diagram, two right triangles are shown, one overlapping the other:

- One is the larger triangle $ XYZ $.
- The other is a smaller, internal triangle sharing the same perpendicular height from $Y$ to $ Y$.

**Question:** Identify the pairs of similar triangles in the image above.

### Directions: Solve for $ x $.

#### Problem 3
A set of similar triangles is given, with various sides marked as $x$, representing scales and dimensions to be calculated based on given similar properties. (Note: The details of Problem 3 are not visible in the provided image)

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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