Geometry EOG PP - Chapter 4 Triangle Congruency

For each triangle below, classify it as Scalene, Isosceles, or Equilateral:

• isosceles triangle

• A triangle has side lengths: 8 cm, 10 cm, 12 cm

• Scalene Triangle

• A triangle has side lengths 12 meters, 12 meters, and 18 meters?

• Equilateral Triangle

• A triangle has side lengths: 12 cm, 12 cm , 12 cm?

For each triangle below, classify it as Acute, Right, or Obtuse:

• Obtuse Triangle

• A triangle has angles 80°, 55°, and 45°.

• right triangle

• A triangle has angles 110°, 40°, and 30°.

• Acute Triangle

• A triangle has angles 25°, 65°, and 90°.

Classify the following triangles

• isosceles obtuse triangle

• A triangle has two equal sides and an angle of 120°.

• scalene acute triangle

• A triangle has three different sides and angles of 40°, 50°, and 90°.

• scalene right triangle

• A triangle has sides 7 cm, 8 cm, and 9 cm, with angles 60°, 50°, and 70°.

Classify the triangle and its measure:

• Obtuse Triangle

• Triangle GFH

• Equilangular Triangle

• Triangle EFH

• Right Triangle

• Triangle EHG

Classify each triangle by its side lengths:

• scalene triangle

• Triangle ABD

• scalene triangle

• Triangle ABC

• Equilateral Triangle

• Triangle ACD

Using the image find the measure of angle S?

Hint, use both the interior and exterior ways to find the measurements of angles in triangles (notes, section 4.2)

1. Find "x"

2. Plug in "x" to each angle

• x = 12

  angle "s" = 72°

• x = 14

  angle "s" = 84°

• x = 14

  angle "s" = 94°

• x = 16

  angle "s" = 96°

Answer explanation

Using the image find the measure of angle T?

Hint, use both the interior and exterior ways to find the measurements of angles in triangles (notes, section 4.2)

1. Find "x"

2. Plug in "x" to each angle

• x = 12

  angle "s" = 72°

• x = 14

  angle "s" = 84°

• x = 14

  angle "s" = 94°

• x = 16

  angle "s" = 96°

Answer explanation

Using the image find the measure of angle R in triangle TRS?

Hint, use both the interior and exterior ways to find the measurements of angles in triangles (notes, section 4.2)

1. Find "x"

2. Plug in "x" to each angle

3. Remember, angles in triangles have to add up to 180° (angle 1 + angle 2 + angle 3 = 180°)

• angle "R" in triangle TRS = 28°

• angle "R" in triangle TRS = 24°

• angle "R" in triangle TRS = 12°

• angle "R" in triangle TRS = 18°

Answer explanation

Using the image find the measure of "outer" angle R outside the triangle TRS?

Hint, use both the interior and exterior ways to find the measurements of angles in triangles (notes, section 4.2)

1. Find angle T and angle S in triangle TSR

2. *These angles are equal to the exterior angle (remember exterior angle = remote interior angles (across))

• angle "R" in triangle TRS = 128°

• angle "R" in triangle TRS = 124°

• angle "R" in triangle TRS = 142°

• angle "R" in triangle TRS = 168°

Answer explanation

Find the measure of NKM in the image (hint, there is multiple ways of solving this problem...)

• measure of NKM = 22°

• measure of NKM = 44°

• measure of NKM = 48°

• measure of NKM = 52°

Answer explanation