Geometry EOG PP - Chapter 4 Triangle Congruency

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

• Scalene Triangle

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

• isosceles triangle

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

• Equilateral Triangle

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

Tags

CCSS.4.G.A.2

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

• right triangle

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

• Obtuse Triangle

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

• Acute Triangle

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

Tags

CCSS.4.G.A.2

Classify the following triangles

• scalene right triangle

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

• isosceles obtuse triangle

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

• scalene acute triangle

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

Tags

CCSS.4.G.A.2

Classify the triangle and its measure:

• Right Triangle

• Triangle EHG

• Obtuse Triangle

• Triangle EFH

• Equilangular Triangle

• Triangle GFH

Tags

CCSS.4.G.A.2

Classify each triangle by its side lengths:

• scalene triangle

• Triangle ACD

• scalene triangle

• Triangle ABC

• Equilateral Triangle

• Triangle ABD

Tags

CCSS.4.G.A.2

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

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

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